This chapter contains sections titled: * Brief History * How We Talk * Science and Infinity * Religion and Infinity * Concluding Remarks * Notes * References * Further Reading.

Major Research Paper Abstract -/- A Part of This World: Deleuze & The Logic Of Creation. -/- Is there a particular danger in following Deleuze’s philosophy to its end result? According to Peter Hallward and Alain Badiou, Deleuze’s philosophy has some rather severe conclusions. Deleuze has been known as a vitalist thinker of life and affirmation. Hallward & Badiou seek to challenge the accepted view of Deleuze; showing that these accepted norms in Deleuzian scholarship should be challenged; and that initially (...) Deleuze calls for the evacuation of political action in order to remain firm in the realm of pure contemplation. I intend to investigate and defend Deleuze’s philosophy and against critics like Badiou and Hallward; and that not only is Deleuze’s philosophy creative and vital but also highly revolutionary and ‘a part of this world.’ I will look at several works in Deleuze’s corpus, as well as look at Deleuzian scholars whom defend Deleuze’s position -/- Hallward sees Deleuze as a theophantic thinker of the one and like Spinoza an individual mode must align oneself with the intellectual love of god, so that creativity and expressivity may mediate through them. Thus, according to Hallward the major theme of Deleuze’s philosophy is creativity; and a subject or a creature must tap into this vital spark of creation, which, is also a form of creatural confinement. Hallward states this creative act can only occur in the realm of the virtual, by lines of flight leading 'out of this world'. The subject is then re-introduced to an extra-worldly existence of contemplation and remains further away from decisions and lived experience. Deleuze, according to Hallward, falls prey to a cosmological pantheism. -/- Badiou has similar concerns. Deleuze’s philosophy is too systematic and abstract. The entirety of Deleuzes’ work is surrounded by metaphysics of the one; and essentially its repercussions lead to an overt asceticism. Badiou notes that Deleuze wants us all to surrender thought to a renewed concept of the one. Through the surrender of the one, the multiple is lost and incorporated into the realm of simulacra. Everything in this Deleuzian world is ‘always-already’ in the infinite and inhuman totality of the one. According to Badiou, this entire process is articulated in the power of inorganic life that operates through all of us. Like Hallward, Badiou sees Deleuze demolishing the subject, who is stuck between machinery and exteriority. Subjects are forced to transcend and go beyond their limits, slowly collapsing into an infinite virtuality. Badiou believes this is a powerful metaphor for a philosophy of death. Thus the conditions of Deleuzian thought are contingent upon asceticism, making a Deleuzian world a sort of ‘crowned anarchy’. Badiou sees Deleuze’s ascetic mission intimately linked with a philosophy of death, and like Hallward we should pay careful attention to the outcome of such an aristocratic philosophy. Death according to Badiou, symbolizes Deleuzian thought, not only making it dangerous, but also actualizing it as an ineffective position. Badiou also points out that Deleuze’s conceptual sources are not only limited but also repeated time and time again through a monotonous selection of concepts. Is this a fair critique and representation of Deleuzian thought? -/- Eugene Holland states, that both Hallward and Badiou have misrepresented Deleuze. Deleuze does invoke the creation of a new earth but one which we all fully believe in. The only world Deleuze wants to get out of is the world of habits, conformity, power; and forces that block creative being. According to Holland, Hallward presents us a Deleuze that inhibits an engagement with the world. However Deleuze’s creative enterprise is insistent on forming concepts that can change and transform our world. -/- So the question arises where does the problem of misrepresentation begin? It begins with both Badiou and Hallward having an erroneous account of the actual/virtual distinction in Deleuze’s Philosophy. According to Protevi, Hallward posits a dualism between the actual and the virtual, denying the role of the intensive. Hallward initially sees the relationship between the intensive and the virtual, ignoring the fact that the intensive has its own ontological register that mediates both the virtual and the actual. However, Protevi notes if one could not accept the intensive for an ontological register and had to place it with one or the other; you would have to accept an interrelationship between the actual and the intensive. Hallward places it in the realm of the virtual, thus, leading us to his major claim that Deleuze’s philosophy leads us out of the world. Protevi states, intensive processes happen in our world they are a part of this world. Hallward completely empties all creativity from the actual, thus depending on the virtual and its slippery slope. Both Hallward and Badiou have missed the point altogether. We live in an intensive/actual world and the main point about Deleuze’s politics has to do with experimentation and social interaction and the transformation and intervention of the concept. As Daniel W. Smith states, unlike Badiou, Deleuze is not searching for an axiomatic approach to the world, one that is prone to reductionism but rather with problematic, inventive and creative methods to transform a society. (shrink)

In the Transcendental Ideal Kant discusses the principle of complete determination: for every object and every predicate A, the object is either determinately A or not-A. He claims this principle is synthetic, but it appears to follow from the principle of excluded middle, which is analytic. He also makes a puzzling claim in support of its syntheticity: that it represents individual objects as deriving their possibility from the whole of possibility. This raises a puzzle about why Kant regarded it (...) as synthetic, and what his explanatory claim means. I argue that the principle of complete determination does not follow from the principle of excluded middle because the externally negated or ?negative? judgement ?Not (S is P)? does not entail the internally negated or ?infinite? judgement ?S is not-P.? Kant's puzzling explanatory claim means that empirical objects are determined by the content of the totality of experience. This entails that empirical objects are completely determinate if and only if the totality of experience has a completely determinate content. I argue that it is not a priori whether experience has such a completely determinate content and thus not analytic that objects obey the principle of complete determination. (shrink)

In this article, I argue that it is impossible to complete infinitely many tasks in a finite time. A key premise in my argument is that the only way to get to 0 tasks remaining is from 1 task remaining, when tasks are done 1-by-1. I suggest that the only way to deny this premise is by begging the question, that is, by assuming that supertasks are possible. I go on to present one reason why this conclusion (that supertasks (...) are impossible) is important, namely that it implies a new verdict on a decision puzzle propounded by Jeffrey Barrett and Frank Arntzenius. (shrink)

The representations of deep convolutional neural networks (CNNs) are formed from generalizing similarities and abstracting from differences in the manner of the empiricist theory of abstraction (Buckner, Synthese 195:5339–5372, 2018). The empiricist theory of abstraction is well understood to entail infinite regress and circularity in content constitution (Husserl, Logical Investigations. Routledge, 2001). This paper argues these entailments hold a fortiori for deep CNNs. Two theses result: deep CNNs require supplementation by Quine’s “apparatus of identity and quantification” in order to (...) (1) achieve concepts, and (2) represent objects, as opposed to “half-entities” corresponding to similarity amalgams (Quine, Quintessence, Cambridge, 2004, p. 107). Similarity amalgams are also called “approximate meaning[s]” (Marcus & Davis, Rebooting AI, Pantheon, 2019, p. 132). Although Husserl inferred the “complete abandonment of the empiricist theory of abstraction” (a fortiori deep CNNs) due to the infinite regress and circularity arguments examined in this paper, I argue that the statistical learning of deep CNNs may be incorporated into a Fodorian hybrid account that supports Quine’s “sortal predicates, negation, plurals, identity, pronouns, and quantifiers” which are representationally necessary to overcome the regress/circularity in content constitution and achieve objective (as opposed to similarity-subjective) representation (Burge, Origins of Objectivity. Oxford, 2010, p. 238). I base myself initially on Yoshimi’s (New Frontiers in Psychology, 2011) attempt to explain Husserlian phenomenology with neural networks but depart from him due to the arguments and consequently propose a two-system view which converges with Weiskopf’s proposal (“Observational Concepts.” The Conceptual Mind. MIT, 2015. 223–248). (shrink)

This paper investigates Descartes’s understanding of the imago Dei, that it is above all in virtue of the will that we bear the image and likeness of God. I challenge the key assumption of arguments that hold that Descartes’s comparison between the human will and the divine will is problematic—that in his conception of the imago Dei Descartes is alluding to Scholastic conceptions of analogy available to him at the time, which would place particular constraints on the legitimacy of the (...) comparison. I argue instead that Descartes is evoking a different tradition regarding the nature of image and imitation, stemming from Augustine and Aquinas, and thus, that those constraints do not apply. I then argue that Descartes thinks the likeness between the human will and God’s will is that both are infinite in “extent.” This means that human will can “extend itself” not only to things that can be the object of some other will, but to things that can be the object of God’s will. This is notable because Descartes famously thinks that absolutely anything can be the object of God’s will. I explain why this interpretation is not implausible, contrary to first appearances. (shrink)

The study analyzed the Agogo Presbyterian College of Education (1930-1971) and when it was taken over by the Government (1972-2013). This became relevant in the wake of the recent plea by the churches that the Government should hand over Mission Schools to the churches. The study therefore examines the state of management and leadership and infrastructural development both under the regime of the Missionaries and the Government. It also sought to assess academic standard of the students, and the discipline of (...) the College, qualification of the teachers, supervision, and students’ patronage of library and entry grade of students to the College with the view of establishing the progression or retrogression over the period. In doing this, a comparative study was undertaken and data were derived from archival materials of the Agogo Presbyterian College of Education, and direct interviews with past Principals and Administrators of the College. The results revealed that despite an increase in student-intake (210 students in 1942 to 750 students in 2014) with a corresponding increase of teachers (from 5 missionary teachers with lower academic degrees in 1931 to 28 teachers with masters qualifications), inadequate infrastructural development; lack of discipline and competitions among students have characterized APCE since it was managed by the Government as compared to the Missionaries. The study recommends that the Government would complete the construction of the students‟ hall complex, and also put up large auditorium and classroom blocks to accommodate the high students’ intake in the College to enhance education delivery. (shrink)

In this paper, I introduce an iterative method aimed at exploring numbers within the interval [0, 1]. Beginning with a foundational set, S0, a series of algorithms are employed to expand and refine this set. Each algorithm has its designated role, from incorporating irrational numbers to navigating non-deterministic properties. With each successive iteration, our set grows, and after infinite iterations, its cardinality is proposed to align with that of the real numbers. This work is an initial exploration into this (...) approach, and further investigation is encouraged to understand its full implications and potential. (shrink)

There is a long history of philosophers granting a privileged epistemic status to cognition of directly present objects. In this paper, I examine three important historic accounts which provide different models of this cognitive state and its connection with its objects: that of the Stoics, who are corporealists and think that ordinary perception may have an epistemically privileged status, but who seem to struggle to accommodate non-perceptual cognizance; that of Augustine, who thinks that incorporeal objects are directly present to us (...) in ‘intellectual perception’, and that, by way of contrast, ordinary sense-perception does not have a privileged epistemic status; and that of William of Ockham, who allows for unmediated action at a distance and is fairly generous about what counts as being directly present. (shrink)

The purpose of this paper is to show that the Elementary Process Theory (EPT) agrees with the knowledge of the physical world obtained from the successful predictions of Special Relativity (SR). For that matter, a recently developed method is applied: a categorical model of the EPT that incorporates SR is fully specified. Ultimate constituents of the universe of the EPT are modeled as point-particles, gamma-rays, or time-like strings, all represented by integrable hyperreal functions on Minkowski space. This proves that the (...) EPT agrees with SR. -/- Edit: this preprint differs significantly from the published chapter. (shrink)

This essay explores the role of God’s omnipresence in Newton’s natural philosophy, with special emphasis placed on how God is related to space. Unlike Descartes’ conception, which denies the spatiality of God, or Gassendi and Charleton’s view, which regards God as completely whole in every part of space, it is argued that Newton accepts spatial extension as a basic aspect of God’s omnipresence. The historical background to Newton’s spatial ontology assumes a large part of our investigation, but with attention also (...) focused on the details of Newton’s unique approach to these traditional Scholastic conceptions. (shrink)

I will explore the paradoxical nature of epistemic access. By critiquing the traditional conception of mental states that are labelled as ’knowledge’, I demonstrate the susceptibility of these states to an infinite regress, thus, challenging their existence and validity. I scrutinise the assumption that an epistemic agent can have complete epistemic access to all facts about a given object while simultaneously being ignorant of certain truths that impact the very knowledge claims about the object. I further analyse the (...) implications of this paradox when attempting to fine-grain the parameters of epistemic access, which happens to reveal the vacuity of such definitions and the inevitability of the regress. (shrink)

This chapter begins with an empirical analysis of attitudes towards the law, which, in turn, inspires a philosophical re-examination of the moral status of the rule of law. In Section 2, we empirically analyse relevant survey data from the US. Although the survey, and the completion of our study, preceded the recent anti-police brutality protests sparked by the killing of George Floyd, the relevance of our observations extends to this recent development and its likely reverberations. Consistently with prior studies, we (...) find that people’s ascriptions of legitimacy to the legal system are predicted strongly by their perceptions of the procedural justice and lawfulness of police and court officials’ action. Two factors emerge as significant predictors of people’s compliance with the law: (i) their belief that they have a (content-independent, moral) duty to obey the law (which is one element of legitimacy, as defined here); and (ii) their moral assessment of the content of specific legal requirements (‘perceived moral content of laws’). We also observe an interactive relationship between these two factors. At higher levels of perceived moral content of laws, felt duty to obey is a better predictor of compliance. And, similarly, perceived moral content of laws is a better predictor of compliance at higher levels of felt duty to obey. This suggests that the moral content incorporated in specific laws interacts with the normative force people ascribe to legal authorities by virtue of other qualities, specifically here procedural justice and lawfulness. In Section 3, the focus shifts to a philosophical analysis, whereby we identify a parallel (similarly interactive) modality in the way that form and content mutually affect the value of the rule of law. We advocate a distinctive alternative to two rival approaches in jurisprudential discourse, the first of which claims that Lon Fuller’s eight precepts of legality embody moral qualities not contingent on the law’s content, while the second denies any independent moral value in these eight precepts, viewing them as entirely subservient to the law’s substantive goals. In contrast, on the view put forward here, Fuller’s principles possess (inter alia) an expressive moral quality, but their expressive effect does not materialise in isolation from other, contextual factors. In particular, the extent to which it materialises is partly sensitive to the moral quality of the law’s content. (shrink)

From the beginning, Augustine's "Confessions" presents itself as a dialogue with God. Taking a cue from Ludwig Feuerbach’s "The Essence of Christianity [Das Wesen des Christentums]," this dialogue can easily be dismissed as a projection of the self. This would imply that the divine otherness is nothing more than a mirror of one’s own fears and preferences. “Does this critique,” I asked myself in this piece, “really do justice to a position like that of Augustine?” For a long time, I (...) did not know how to approach what I had — provisionally — called Augustine’s dialogue with God. It appeared to me that Augustine, in an accidental and indirect way, had re-invented the Platonic dialogue and had turned it into a new Christian genre. “It is true,” I told myself, “that the genre of the Confessions shows family resemblances with the hagiography and the autobiography. But most certainly it cannot be reduced to these genres.” The Greek words ‘hagios’ (holy) and ‘autos’ (self) are in flagrant contradiction with the intention of the Confessions. Augustine tries to stay clear of any claim of holiness and only highlights his own ‘self’ to immediately question it. “Is the Platonic dialogue,” I asked myself, “not a far more appropriate predecessor for Augustine’s dialogue with God?” Both types of dialogues can be seen as true dia logoi in which at least two different voices emerge. However, contrary to what one would expect, it is not the dialogue form itself that frames these two voices. Instead the two voices emerge within the discourse of a single speaker, incorporating true otherness within the discourse of the self. Building on these reflections, I explore how Augustine's dialogue with God succeeds in eluding Feuerbach's charge of self-projection. (shrink)

The main argument in this book is the undeniable openness of every system to the unknown. And the fundamental question goes: What does this openness produce? We are a part of the infinite universe and an incorporation of its wholeness. Both for us means an individualized reality, through which the universe expresses itself and on the other hand through which it is built up with. It also means our necessity, importance and indestructibility for the sum of its incorporations. Most (...) connections among ourselves are hardly conscious for us. Meanwhile the infinitesimality structure of all consciousness guarantees not only the logical lack of inconsistency of these connections but also the freedom of choice of every individual. Our goal by no means can be to decide completely consciously. Responsibility contains spontaneity or rather trust in a meaningful working together of the forces. We increasingly become aware of our role in the entire relationship and we learn to contribute optimally to the value fulfillment of all individuals, ourselves included. Beyond the supposed differences between objective and subjective reality, we at some point of awareness comprehend that we create our reality out of our innermost depths. (shrink)

As Augustine himself testifies, he did not know Origen’s work so well. However, this does not mean that he was not acquainted with his key soteriological hypotheses, especially his teachings on apocatastasis. Although Augustine’s doctrine of predestination has completely opposite consequences in comparison to Origen’s teaching about apocatastasis, we believe that these teachings share the common ontological basis, which is the subject of this study. While Origen’s Christology is often called into question, Augustine’s Christology is considered correct. However, with both (...) authors we find a certain marginalisation of Christology in the field of ontologically understood soteriology. Theological insights of these two authors influenced to a significant extent the development of theology of both the East and West, making their works significant up until today, both from the aspect of Christian self-understanding and from the aspect of ecumenical dialogue. (shrink)

Miriam Schleifer McCormick delineates the limits, or at least one limit, of the ethics of mind. Many theorists, including McCormick herself, have argued that some states of mind are appropriate targets of certain reactive attitudes even if they cannot be directly controlled. McCormick now worries that the scope of agency can be widened too far so that no area of mind is beyond the reach of appropriate assessment and judgement. She begins with the intuition that there is, or ought to (...) be, a domain of the mind that is completely free of normative assessment, where you are safe to let your thoughts and images go wherever they take you without concern that you are doing anything wrong, where praise and shame do not apply. McCormick begins by offering an example of the kind of state she thinks should be beyond normative judgment; she argues that certain kinds of wakeful fantasies are on par with sleeping dreams. If one shares McCormick’s view that there is a “free” domain of the wakeful mind, then what she is doing can be seen as clarifying why such states exempt them from judgment. If one does not share this intuition, then what McCormick is doing can be seen as specifying what criteria would be needed for a kind of state (or domain) to be free in this sense. And then some may argue that no wakeful fantasies satisfy these criteria. McCormick addresses those arguments and argues that if the fantasies as characterized are appropriate targets of normative assessment, then it will be very difficult to exempt dreams of sleep, as well as other exercises of imagination. Of course, some people (like Augustine and surprisingly many others) will not mind this result. McCormick doesn’t think then that is the end of the discussion, stalemate and parting of intuitions, for she argues that a case can be made for the value of having a realm of imagination that is beyond the reach of any kind of judgment. (shrink)

Throughout his works, St. Augustine offers at least nine distinct views on the nature of time, at least three of which have remained almost unnoticed in the secondary literature. I first examine each these nine descriptions of time and attempt to diffuse common misinterpretations, especially of the views which seek to identify Augustinian time as consisting of an un-extended point or a distentio animi . Second, I argue that Augustine's primary understanding of time, like that of later medieval scholastics, is (...) that of an accident connected to the changes of created substances. Finally, I show how this interpretation has the benefit of rendering intelligible Augustine's contention that, at the resurrection, motion will still be able to occur, but not time. (shrink)

Russell’s initial project in philosophy (1898) was to make mathematics rigorous reducing it to logic. Before August 1900, however, Russell’s logic was nothing but mereology. First, his acquaintance with Peano’s ideas in August 1900 led him to discard the part-whole logic and accept a kind of intensional predicate logic instead. Among other things, the predicate logic helped Russell embrace a technique of treating the paradox of infinite numbers with the help of a singular concept, which he called ‘denoting phrase’. (...) Unfortunately, a new paradox emerged soon: that of classes. The main contention of this paper is that Russell’s new conception only transferred the paradox of infinity from the realm of infinite numbers to that of class-inclusion. Russell’s long-elaborated solution to his paradox developed between 1905 and 1908 was nothing but to set aside of some of the ideas he adopted with his turn of August 1900: (i) With the Theory of Descriptions, he reintroduced the complexes we are acquainted with in logic. In this way, he partly restored the pre-August 1900 mereology of complexes and simples. (ii) The elimination of classes, with the help of the ‘substitutional theory’, and of propositions, by means of the Multiple Relation Theory of Judgment, completed this process. (shrink)

We investigate a recently devised polyhedral semantics for intermediate logics, in which formulas are interpreted in n-dimensional polyhedra. An intermediate logic is polyhedrally complete if it is complete with respect to some class of polyhedra. The first main result of this paper is a necessary and sufficient condition for the polyhedral completeness of a logic. This condition, which we call the Nerve Criterion, is expressed in terms of Alexandrov’s notion of the nerve of a poset. It affords a (...) purely combinatorial characterisation of polyhedrally complete logics. Using the Nerve Criterion we show, easily, that there are continuum many intermediate logics that are not polyhedrally complete but which have the finite model property. We also provide, at considerable combinatorial labour, a countably infinite class of logics axiomatised by the Jankov–Fine formulas of ‘starlike trees’ all of which are polyhedrally complete. The polyhedral completeness theorem for these ‘starlike logics’ is the second main result of this paper. (shrink)

In order to explain Wittgenstein’s account of the reality of completed infinity in mathematics, a brief overview of Cantor’s initial injection of the idea into set- theory, its trajectory and the philosophic implications he attributed to it will be presented. Subsequently, we will first expound Wittgenstein’s grammatical critique of the use of the term ‘infinity’ in common parlance and its conversion into a notion of an actually existing infinite ‘set’. Secondly, we will delve into Wittgenstein’s technical critique of the (...) concept of ‘denumerability’ as it is presented in set theory as well as his philosophic refutation of Cantor’s Diagonal Argument and the implications of such a refutation onto the problems of the Continuum Hypothesis and Cantor’s Theorem. Throughout, the discussion will be placed within the historical and philosophical framework of the Grundlagenkrise der Mathematik and Hilbert’s problems. (shrink)

The infinitary function of the truth predicate consists in its ability to express infinite conjunctions and disjunctions. A transparency principle for truth states the equivalence between a sentence and its truth predication; it requires an introduction principle—which allows the inference from “snow is white” to “the sentence ‘snow is white’ is true”—and an elimination principle—which allows the inference from “the sentence ‘snow is white’ is true” to “snow is white”. It is commonly assumed that a theory of truth needs (...) to satisfy a transparency principle to fulfil the infinitary function. Picollo and Schindler (Erkenntnis 83:899–928, 2017) argue against this idea. They prove that, given certain assumptions, an elimination principle is sufficient for the purpose. Then, they pose a challenge: to show why we should incorporate introduction principles to our theory of truth. In this essay I take on the challenge. I show that, given the authors’ assumptions, an introduction principle is also sufficient to perform the infinitary function. (shrink)

We present an abstract social aggregation theorem. Society, and each individual, has a preorder that may be interpreted as expressing values or beliefs. The preorders are allowed to violate both completeness and continuity, and the population is allowed to be infinite. The preorders are only assumed to be represented by functions with values in partially ordered vector spaces, and whose product has convex range. This includes all preorders that satisfy strong independence. Any Pareto indifferent social preorder is then shown (...) to be represented by a linear transformation of the representations of the individual preorders. Further Pareto conditions on the social preorder correspond to positivity conditions on the transformation. When all the Pareto conditions hold and the population is finite, the social preorder is represented by a sum of individual preorder representations. We provide two applications. The first yields an extremely general version of Harsanyi's social aggregation theorem. The second generalizes a classic result about linear opinion pooling. (shrink)

In this paper I reconstruct and discuss Antonio Rubio (1546-1615)’s theory of the composition of the continuum, as set out in his Tractatus de compositione continui, a part of his influential commentary on Aristotle’s Physics, published in 1605 but rewritten in 1606. Here I attempt especially to show that Rubio’s is a significant case of Scholastic overlapping between Aristotle’s theory of infinitely divisible parts and indivisibilism or ‘Zenonism’, i.e. the theory that allows for indivisibles, extensionless points, lines, and surfaces, which (...) are supposed to take part in the composition of the continuum. Even if such a syncretic tendency was, in many different ways, already developing in the medieval period and then at the end of the sixteenth century, Rubio’s position is indeed peculiar. He maintains that indivisibles are real and actual, infinite in act, really distinct from each other, and that, although they indwell in substance, indivisibles do not contribute directly to the constitution of the continuum. In this reconstruction I emphasize notably Rubio’s usage of mereological notions like those of part, whole, completeness and incompleteness. (shrink)

What is the relationship between knowledge and ethics? Does what we know and the reason that secures knowledge determine ethical responsibility, or might ethical responsibility itself awaken and animate the enterprise of knowing? The dissertation affirms the priority of ethics by juxtaposing two accounts of the relationship between truth and goodness. It critiques Hegel's systematic conception of absolute knowing by showing that this knowing elides the anarchical ethical demand arising from the other person. Hegel's dialectic reconciles the problem of the (...) relation with the other by transposing it to the plane of cognition where it becomes spirit's self-knowing. However, Emmanuel Levinas's phenomenological reduction of the structures of knowing exposes an ethical level of experience that both inspires and interrupts this adventure of knowing. ;After the introduction of this problematic, Chapter 1 examines the challenge that Levinas poses to Hegel, discovering in experience and subjectivity a ground where real dialogue can take place. Chapter 2 traces the reconception of subjectivity by which Hegel brings all exteriority within the experience of self-consciousness and compares this with Levinas's notion of "lived experience." In Chapter 3, I show how Levinas's account of sensibility and enjoyment resists incorporation into Hegel's notion of self-consciousness. Chapter 4 examines the encounter with the other person and explicates why Hegel's and Levinas's accounts cannot be reconciled or made to complement one another, for the non-allergic responsibility incurred in the face to face relation is inassimilable to the antagonism of the same and the other experienced as self-consciousness. Then, in Chapter 5, I trace Hegel's pursuit of a more authentic recognition of otherness through the development of the concept of spirit, paying special attention to the role of language. The ultimate accomplishment of spiritual recognition in Hegel's account is again challenged by Levinas's notion of responsibility, which signifies as an ethical "saying" apart from the "said." Finally, I contest the absoluteness of knowing without denying the dialectic that animates it by suggesting that philosophy can be maintained as a human enterprise, a pursuit of knowing that is ever subject to and interrupted by the face of the other. (shrink)

In this chapter we argue that emotions are mediated in an incomplete way in online social media because of the heavy reliance on textual messages which fosters a rationalistic bias and an inclination towards less nuanced emotional expressions. This incompleteness can happen either by obscuring emotions, showing less than the original intensity, misinterpreting emotions, or eliciting emotions without feedback and context. Online interactions and deliberations tend to contribute rather than overcome stalemates and informational bubbles, partially due to prevalence of anti-social (...) emotions. It is tempting to see emotions as being the cause of the problem of online verbal aggression and bullying. However, we argue that social media are actually designed in a predominantly rationalistic way, because of the reliance on text-based communication, thereby filtering out social emotions and leaving space for easily expressed antisocial emotions. Based on research on emotions that sees these as key ingredients to moral interaction and deliberation, as well as on research on text-based versus non-verbal communication, we propose a richer understanding of emotions, requiring different designs of online deliberation platforms. We propose that such designs should move from text-centred designs and should find ways to incorporate the complete expression of the full range of human emotions so that these can play a constructive role in online deliberations. (shrink)

Following Post program, we will propose a linguistic and empirical interpretation of Gödel’s incompleteness theorem and related ones on unsolvability by Church and Turing. All these theorems use the diagonal argument by Cantor in order to find limitations in finitary systems, as human language, which can make “infinite use of finite means”. The linguistic version of the incompleteness theorem says that every Turing complete language is Gödel incomplete. We conclude that the incompleteness and unsolvability theorems find limitations in (...) our finitary tool, which is our complete language. (shrink)

The essay is framed by conflict between Christianity and Darwinian science over the history of the world and the nature of human personhood. Evolutionary science narrates a long prehuman geological and biological history filled with vast amounts, kinds, and distributions of apparently random brutal and pointless suffering. It also strongly suggests that the first modern humans were morally primitive. This science seems to discredit Christianity's common meta-narrative of the Fall, understood as a story of Paradise Lost. The author contends that (...) this Augustinian story and its character of Adam as endowed with superhuman gifts, and yet as so fragile as to fall, as claimed, is implausible, at any rate, even apart from science. He proposes that Christians consider adopting a Supralapsarian metaphysics of divine purpose supported by the intuitions of Irenaeus, who depicted the first human beings as comparable to innocent, but morally undeveloped children. In this approach the existence of evils is part of the divine plan to "defeat" them in and through the Incarnation, Atonement, and Resurrection of Christ. Putting an "Irenaean Adam" in place of the "Augustinian" counterpart may not remove conflict with science completely, but at least reduces it, and leads to a Christian narrative that is more plausible, in the light of science. (shrink)

One of the most frequently asked question is whether Hegel’s idea of God is immanent or transcendent. In Transcending Subjects: Augustine, Hegel, and Theology, Geoffrey Holsclaw attempts to solve this puzzle by contrasting the political theologies of Hegel and Augustine. He argues that Hegel produces a political theology of ‘self-transcending immanence’ while Augustine produces a political theology of ‘self-immanentizing transcendence’. The primary problem with Holsclaw’s dialectical procedure results from its uncritical appeal to a transcendent source for the supersession of opposites. (...) Rather than critically annulling each opposed position, he often resorts to simply describing the inadequacy of positions in light of the privileged ideal of Augustinian transcendence. Holsclaw’s dialectic has not been directly derived from Augustine but from the more recent writings of William Desmond. He translates Desmond’s opposition between the second and third types of transcendence into his own opposition between Hegelian self-transcending immanence and Augustinian self-immanentizing transcendence. Hegel’s apparent ambiguity on transcendence seems to expose him to Holsclaw’s critique. Yet Hegel may, arguably, have never needed to answer this objection because the opposition between immanence and transcendence has already been resolved by Hegel’s dialectic of infinity: for if the opposition between the categories of immanence and transcendence that appears at the level of Spirit merely replicates the vanishing opposition between the finite and the infinite at the level of Logic, then the supersession of this negative opposition between the infinite and the finite into the true and speculative infinity can be virtually replicated for religious consciousness in the supersession of transcendence and immanence into an equally speculative transcendence. Where Holsclaw seeks to supersede immanence into transcendence, Hegel seeks to preserve both transcendence and immanence in the true ‘speculative transcendence’ that corresponds to the true ‘speculative infinity’. The decisive disagreement between Hegel and Holsclaw thus concerns, not merely any relation between transcendence and immanence, but – more fundamentally – the very possibility of superseding the spurious transcendence into a genuinely speculative notion of infinity and transcendence. (shrink)

This paper examines Augustine’s views on language, learning, and testimony in De Magistro. It is often held that, in De Magistro, Augustine is especially concerned with explanatory understanding (a complex cognitive state characterized by its synoptic nature and awareness of explanatory relations) and that he thinks testimony is deficient in imparting explanatory understanding. I argue against this view and give a clear analysis of the different kinds of cognitive state Augustine is concerned with and a careful examination of his arguments (...) concerning the deficiencies of testimony in producing these cognitive states. (shrink)

The relationship between the One and the Multiple in mystic philosophy is a profound and central theme that explores the nature of existence, the cosmos, and the divine. This theme is present in various mystical traditions, including those of the East and West, and it addresses the paradoxical coexistence of the unity and multiplicity of all things. -/- In mystic philosophy, the **One** often represents the ultimate reality, the source from which all things emanate and to which all things return. (...) It is the absolute, the infinite, and the unchanging. The One is beyond all attributes and is often associated with the divine or the absolute truth. -/- The **Multiple**, on the other hand, represents the manifest world, the diversity of forms, and the realm of change and plurality. It is the world we experience through our senses, the domain of time and space, where differentiation and individuality are apparent. -/- The relationship between the One and the Multiple is not one of opposition but of emanation and unity. The Multiple is seen as a reflection, expression, or manifestation of the One. In this sense, the diversity of the world doesn’t contradict the unity of the One but rather demonstrates it in a myriad of forms. -/- Mystics seek to understand and experience this relationship through various practices and insights. They aim to transcend the illusion of separation and duality to experience the non-dual reality where the One and the Multiple are recognized as inseparable. -/- This concept can be illustrated by the metaphor of the ocean and its waves. The ocean represents the One—vast, deep, and all-encompassing—while the waves represent the Multiple—distinct, diverse, and ever-changing. Each wave is unique, yet it is not separate from the ocean. The wave’s existence is dependent on and made of the same substance as the ocean. In the same way, each individual entity in the Multiple is an expression of the One. -/- In summary, the relationship between the One and the Multiple in mystic philosophy is a dynamic interplay that challenges the conventional understanding of separation. It invites a deeper exploration of reality, where the apparent multiplicity of the world is a direct expression of the singular, underlying essence of all that is. -/- The relationship between the One and the Multiple in the context of mathematical philosophy is a profound topic that touches upon the very foundations of existence and knowledge. It’s a theme that has been explored by philosophers and mathematicians alike, often leading to the contemplation of unity and diversity within the structures of reality. -/- In mathematics, the concept of the One can be seen as the basis of unity from which all numbers derive. It’s the identity element in multiplication, the starting point in counting, and the foundation of dimension in geometry. The One is often associated with the concept of monism in philosophy, which posits that there is a single, underlying substance or principle that constitutes reality. -/- On the other hand, the Multiple represents the infinite variety and diversity of forms and numbers that arise from the One. It’s the embodiment of plurality and the complex interplay of different entities that mathematics seeks to understand and describe. This reflects the philosophical stance of pluralism, which acknowledges the existence of multiple realities or truths. -/- The interplay between the One and the Multiple can be seen in the mathematical concept of sets. A set can be thought of as a unity, a whole composed of distinct elements. Yet, each element within the set also retains its individuality, contributing to the diversity of the set’s composition. This duality is mirrored in the philosophical exploration of the universal and the particular, where the universal represents the One, and the particulars represent the Multiple. -/- In the realm of mathematical philosophy, this relationship often leads to questions about the nature of mathematical objects: Are they discovered as part of an objective reality (the One), or are they constructed by the human mind from a multitude of experiences (the Multiple)? This debate resonates with the philosophical inquiry into the nature of truth and reality. -/- Reflecting on the One and the Multiple can also lead to a deeper understanding of the self and the cosmos. Just as the number one is integral to the existence of all other numbers, the individual self can be seen as a unique expression of the universal whole. Similarly, the cosmos can be viewed as a grand unity composed of a multiplicity of forms and phenomena. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers. -/- Gödel’s incompleteness theorems have a fascinating connection to the philosophical concepts of the One and the Multiple. These theorems, which are pivotal in mathematical logic and philosophy of mathematics, articulate the inherent limitations of formal axiomatic systems, particularly those sufficient to express the arithmetic of natural numbers⁴. -/- The **first incompleteness theorem** reveals that within any such consistent system, there are propositions that are true but cannot be proven within the system itself. This reflects the idea of the Multiple in that there is an abundance of mathematical truths, a multiplicity that exceeds the unifying framework of any one system. It suggests that the realm of mathematical truth is more extensive than any single formal system can fully capture. -/- The **second incompleteness theorem** extends this by showing that a system cannot prove its own consistency. This relates to the concept of the One, as it implies that a system’s complete self-understanding, its unity and coherence, is unattainable from within. It must look beyond itself, to an external vantage point, to ascertain its consistency. -/- In the context of the One and the Multiple, Gödel’s theorems imply that the One (a consistent formal system) is inherently incomplete and cannot encompass the Multiple (the totality of mathematical truths). This resonates with philosophical discussions about the relationship between unity and plurality. Just as a single philosophical system cannot capture the entirety of truth, a single formal mathematical system cannot encapsulate all mathematical truths. -/- Moreover, Gödel’s work suggests that the pursuit of a single, unified theory of everything in mathematics—a One that encompasses all Multiples—is an inherently Sisyphean task. There will always be more truths (Multiples) than can be derived from any given set of axioms (the One). -/- In essence, Gödel’s incompleteness theorems provide a formal underpinning to the philosophical notion that the One cannot exist without the Multiple, and vice versa. They are interdependent, with the One giving rise to the Multiple, and the Multiple necessitating the One for its expression and comprehension. This interplay is a dance of limitations and possibilities, where the boundaries of logic, mathematics, and philosophy blur into one another. -/- The relationship between the One and the Multiple in the context of the mathematics of zero is a deeply philosophical inquiry that bridges the abstract world of numbers with the existential questions of being and non-being. -/- Zero, in mathematics, is a symbol of absence, a representation of nothingness, yet it holds a pivotal position as a number. It is the void from which all things emerge and to which they return. In the philosophy of mathematics, zero is the paradoxical junction where the One and the Multiple converge and diverge. -/- From the perspective of the One, zero can be seen as the origin—the singular point that precedes the existence of numbers. It is the empty set, the foundation upon which the edifice of mathematics is constructed. As the identity element in addition, zero maintains the integrity of numbers, for adding zero to any number leaves it unchanged, reflecting the immutable nature of the One. -/- Conversely, when we consider the Multiple, zero represents the infinite potentiality of creation. It is the canvas upon which the integers, both positive and negative, express their multitude. Zero is the balance point, the fulcrum around which the symphony of numbers dances. It embodies the plurality of possibilities, the beginning of the number line that stretches infinitely in both directions. -/- Philosophically, zero challenges our understanding of existence. It is both something and nothing—a number that quantifies the absence of quantity. This duality echoes the philosophical struggle to comprehend how the One gives rise to the Multiple. How does the unity of being manifest the diversity of the cosmos? Zero offers a mathematical metaphor for this mystery, as it encapsulates the transition from non-existence to existence, from the undifferentiated One to the differentiated Multiple. -/- In the realm of set theory, zero corresponds to the empty set—a set with no elements. This set is unique in that it is the only set that contains nothing, yet it is the foundation upon which all other sets are built. The empty set is the mathematical embodiment of the One, and all other sets, containing multiple elements, arise from it. -/- Reflecting on zero in the context of Gödel’s incompleteness theorems, we find a resonance with the idea that the One (a consistent formal system) cannot capture the entirety of the Multiple (the totality of mathematical truths). Zero, as the foundation of numbers, similarly suggests that from the nothingness of the One, the infinite complexity of the Multiple emerges—yet it can never be fully encompassed or expressed by any single system. -/- In conclusion, the mathematics of zero offers a profound reflection on the relationship between the One and the Multiple. It serves as a bridge between the abstract and the concrete, the known and the unknowable, challenging us to ponder the origins of existence and the nature of reality itself. -/- . (shrink)

A resolution to the Russell Paradox is presented that is similar to Russell's “theory of types” method but is instead based on the definition of why a thing exists as described in previous work by this author. In that work, it was proposed that a thing exists if it is a grouping tying "stuff" together into a new unit whole. In tying stuff together, this grouping defines what is contained within the new existent entity. A corollary is that a thing, (...) such as a set, does not exist until after the stuff is tied together, or said another way, until what is contained within is completely defined. A second corollary is that after a grouping defining what is contained within is present and the thing exists, if one then alters what is tied together (e.g., alters what is contained within), the first existent entity is destroyed and a different existent entity is created. A third corollary is that a thing exists only where and when its grouping exists. Based on this, the Russell Paradox's set R of all sets that aren't members of themselves does not even exist until after the list of the elements it contains (e.g. the list of all sets that aren't members of themselves) is defined. Once this list of elements is completely defined, R then springs into existence. Therefore, because it doesn't exist until after its list of elements is defined, R obviously can't be in this list of elements and, thus, cannot be a member of itself; so, the paradox is resolved. This same type of reasoning is then applied to Godel's first Incompleteness Theorem. Briefly, while writing a Godel Sentence, one makes reference to a future, not yet completed and not yet existent sentence, G, that claims its unprovability. However, only once the sentence is finished does it become a new unit whole and existent entity called sentence G. If one then goes back in and replaces the reference to the future sentence with the future sentence itself, a totally different sentence, G1, is created. This new sentence G1 does not assert its unprovability. An objection might be that all the possibly infinite number of possible G-type sentences or their corresponding Godel numbers already exist somehow, so one doesn't have to worry about references to future sentences and springing into existence. But, if so, where do they exist? If they exist in a Platonic realm, where is this realm? If they exist pre-formed in the mind, this would seem to require a possibly infinite-sized brain to hold all these sentences. This is not the case. What does exist in the mind is the system for creating G-type sentences and their corresponding numbers. This mental system for making a G-type sentence is not the same as the G-type sentence itself just as an assembly line is not the same as a finished car. In conclusion, a new resolution of the Russell Paradox and some issues with proofs of Godel's First Incompleteness Theorem are described. (shrink)

Consider an infinite series whose items are each explained by their immediate successor. Does such an infinite explanation explain the whole series or does it leave something to be explained? Hume arguably claimed that it does fully explain the whole series. Leibniz, however, designed a very telling objection against this claim, an objection involving an infinite series of book copies. In this paper, I argue that the Humean claim can, in certain cases, be saved from the Leibnizian (...) “infinite book copies” objection, and that this provides an interesting way to defuse some cosmological arguments for the existence of God and to give a non-theistic but complete explanation of the Universe. In the course of my argumentation, I also show that circular explanations can be “self-explanatory” as well: explaining two items by each other can explain the couple of items tout court. (shrink)

Although current educational priorities tend to avoid strong moral positions, one of the world's most venerable yet persistently influential moral traditions not only lays out a number of major moral principles but also incorporates them into its pedagogy. Confucius teaches us about the importance of seeking knowledge, learning how to learn, applying ancient wisdom to contemporary situations, valuing virtue over material gain, following the Golden Rule, and living by our principles. He also has ways of assessing his own students' progress (...) in these matters. Confucius' pedagogy is an interesting model to consider and contrast with contemporary models. This chapter introduces these principles and assessments from the Analects and draws out some comparisons to and contrasts with two alternative theories in western moral thought, Augustine and John Dewey. -/- The accepted version of the paper is included here. Pagination does not match the published version. (shrink)

The paper addresses Leon Hen.kin's proposition as a " lighthouse", which can elucidate a vast territory of knowledge uniformly: logic, set theory, information theory, and quantum mechanics: Two strategies to infinity are equally relevant for it is as universal and t hus complete as open and thus incomplete. Henkin's, Godel's, Robert Jeroslow's, and Hartley Rogers' proposition are reformulated so that both completeness and incompleteness to be unified and thus reduced as a joint property of infinity and of all (...) class='Hi'>infinite sets. However, only Henkin's proposition equivalent to an internal position to infinity is consistent . This can be retraced back to set theory and its axioms, where that of choice is a key. Quantum mechanics is forced to introduce infinity implicitly by Hilbert space, on which is founded its formalism. One can demonstrate that some essential properties of quantum information, entanglement, and quantum computer originate directly from infinity once it is involved in quantum mechanics. Thus, these phenomena can be elucidated as both complete and incomplete, after which choice is the border between them. A special kind of invariance to the axiom of choice shared by quantum mechanics is discussed to be involved that border between the completeness and incompleteness of infinity in a consistent way. The so-called paradox of Albert Einstein, Boris Podolsky, and Nathan Rosen is interpreted entirely in the same terms only of set theory. Quantum computer can demonstrate especially clearly the privilege of the internal position, or " observer'' , or "user" to infinity implied by Henkin's proposition as the only consistent ones as to infinity. An essential area of contemporary knowledge may be synthesized from a single viewpoint. (shrink)

Wittgenstein once wrote, “a wheel that can be turned though nothing else moves with it, is not part of the mechanism,” and Nyberg’s explanation as to why Hilary Putnam’s answer to the question of whether we might intelligibly suppose ourselves to be “brains in a vat” is wrong takes us, by way of Wittgenstein’s statement, to the intersection of metaphysics and epistemology, i.e., to the very cornerstone of western philosophy, where we find, waiting for us, the absolute I of solipsism. (...) Yet, it is the solipsistic I which in its articulation most obviously violates the private language argument’s stricture against criterionless reference, though the solipsist has available a reply of sorts – the reply of silence, a complete silence which shrouds equally the blank slates of absolute solipsism and pure realism. Through silence, the I of solipsism becomes the eye of realism and, no longer visible even to itself, vanishes from the realm of analytic discourse, only to be reborn at the correspondent point of each successive incarnation of the paradigm. Other methods of philosophy must, thus, be adopted if we are ever to escape the analytic paradigm’s cyclic limits. It is here, at the point where analysis alone can carry us no further, that “Zen” transitions from an unusually-structured but still traditional philosophic essay into something else entirely, with the incorporation into its closing pages of 15 poetic pieces, each drawn from Nyberg’s 100, a longer text of philosophical poetry which takes up where “Zen” leaves off. [email protected] Iowa City, Iowa/Palo Alto, California/New York, New York/Los Angeles, California/Rapid City, South Dakota June 1982-January 2020 . (shrink)

This paper models God and time in the framework of modern physics. God bridges and simultaneously exists in (1) a universe with infinite tenseless time and (2) a created parallel universe with tensed time and a point origin. The primary attributes of God are inexhaustible love, inexhaustible perception, and inexhaustible force. The model also incorporates modern physics theories that include relativity, the conservation of energy, quantum mechanics, and multiverse geometry. For example, creation out of nothing and divine intervention are (...) subject to physical processes and likewise nomological possibility. I will call this model semiclassical theism. (shrink)

This paper will explore some of the issues and arguments and offer some critical reflection on the ideas and ways that people have proposed to overcome or uphold the dilemma or conflict between the existence of the God of classical theism and evil and the consequence of evil - suffering. I seek explanation of the plain fact of evil and suffering but I do not seek it in the arrogant belief that I can explain evil away. My Christian faith is (...) not meant to provide complete answers and understanding to all life’s vexing questions. The purpose of my faith is to become aware and share in the life of the infinite and unlimited creator God. My belief provides strength and wisdom to live all of life but does not provide the perfect philosophical apologetic. My faith leaves me with much unsolved mystery and perplexing puzzle, often my faith is accompanied by doubt and existential pain and anxiety. Evil is not a theoretical problem but an existential problem. In the face of evil we are challenged to examine who we are and what we value as well as seeking a deeper insight into the nature and purposes of God. (shrink)

This work deals with problems involving infinities and infinitesimals. It explores the ideas behind zero, its relationship to ontological nothingness, finititude (such as finite numbers and quantities), and the infinite. The idea of infinity and zero are closely related, despite what many perceive as an intuitive inverse relationship. The symbol 0 generally refers to nothingness, whereas the symbol infinity refers to ``so much'' that it cannot be quantified or captured. The notion of finititude rests somewhere between complete nothingness (...) and something having no end. -/- My concern is that many of the philosophers arguing for or against the ontology (or possibility) of an actual infinite set are unaware or unfamiliar with the mathematical literature attempting to clearly and rigorously define these terms. I believe it is a mistake to leave mathematicians out of this conversation, as analysts in particular have defined (and used) infinity in a way that is relevant to the ongoing debate between philosophers. -/- For this paper, I have selected examples from Principles of Analysis by Walter Rudin, which has become a standard text for Real Analysis classes taken by pure mathematicians and engineers. I will also restrict the scope of examples to Euclidean spaces for simplicity. Finally, I will be using addition, + and multiplication * in their usual way. (shrink)

continent. 1.1 : 3-13. / 0/ – Introduction I want to propose, as a trajectory into the philosophically weird, an absurd theoretical claim and pursue it, or perhaps more accurately, construct it as I point to it, collecting the ground work behind me like the Perpetual Train from China Mieville's Iron Council which puts down track as it moves reclaiming it along the way. The strange trajectory is the following: Kant's critical philosophy and much of continental philosophy which has followed, (...) has been a defense against horror and madness. Kant's prohibition on speculative metaphysics such as dogmatic metaphysics and transcendental realism, on thinking beyond the imposition of transcendental and moral constraints, has been challenged by numerous figures proceeding him. One of the more interesting critiques of Kant comes from the mad black Deleuzianism of Nick Land stating, “Kant’s critical philosophy is the most elaborate fit of panic in the history of the Earth.” And while Alain Badiou would certainly be opposed to the libidinal investments of Land's Deleuzo-Guattarian thought, he is likewise critical of Kant's normative thought-bureaucracies: Kant is the one author for whom I cannot feel any kinship. Everything in him exasperates me, above all his legalism—always asking Quid Juris? Or ‘Haven’t you crossed the limit?’—combined, as in today’s United States, with a religiosity that is all the more dismal in that it is both omnipresent and vague. The critical machinery he set up has enduringly poisoned philosophy, while giving great succour to the academy, which loves nothing more than to rap the knuckles of the overambitious [….] That is how I understand the truth of Monique David-Menard’s reflections on the properly psychotic origins of Kantianism. I am persuaded that the whole of the critical enterprise is set up to to shield against the tempting symptom represented by the seer Swedenborg, or against ‘diseases of the head’, as Kant puts it. An entire nexus of the limits of reason and philosophy are set up here, namely that the critical philosophy not only defends thought from madness, philosophy from madness, and philosophy from itself, but that philosophy following the advent of the critical enterprise philosophy becomes auto-vampiric; feeding on itself to support the academy. Following Francois Laruelle's non-philosophical indictment of philosophy, we could go one step further and say that philosophy operates on the material of what is philosophizable and not the material of the external world. [1] Beyond this, the Kantian scheme of nestling human thinking between our limited empirical powers and transcendental guarantees of categorical coherence, forms of thinking which stretch beyond either appear illegitimate, thereby liquefying both pre-critical metaphysics and the ravings of the mad in the same critical acid. In rejecting the Kantian apparatus we are left with two entities – an unsure relation of thought to reality where thought is susceptible to internal and external breakdown and a reality with an uncertain sense of stability. These two strands will be pursued, against the sane-seal of post-Kantian philosophy by engaging the work of weird fiction authors H.P. Lovecraft and Thomas Ligotti. The absolute inhumanism of the formers universe will be used to describe a Shoggothic Materialism while the dream worlds of the latter will articulate the mad speculation of a Ventriloquil Idealism. But first we must address the relation of philosophy to madness as well as philosophy to weird fiction. /1/ – Philosophy and Madness There is nothing that the madness of men invents which is not either nature made manifest or nature restored. Michel Foucault. Madness and Civilization. The moment I doubt whether an event that I recall actually took place, I bring the suspicion of madness upon myself: unless I am uncertain as to whether it was not a mere dream. Arthur Schopenhauer. The World as Will and Idea, Vol. 3. Madness is commonly thought of as moving through several well known cultural-historical shifts from madness as a demonic or otherwise theological force, to rationalization, to medicalization psychiatric and otherwise. Foucault's Madness and Civilization is well known for orientating madness as a form of exclusionary social control which operated by demarcating madness from reason. Yet Foucault points to the possibility of madness as the necessity of nature at least prior to the crushing weight of the church. Kant’s philosophy as a response to madness is grounded by his humanizing of madness itself. As Adrian Johnston points out in the early pages of Time Driven pre-Kantian madness meant humans were seized by demonic or angelic forces whereas Kantian madness became one of being too human. Madness becomes internalized, the external demonic forces become flaws of the individual mind. Foucault argues that, while madness is de-demonized it is also dehumanized during the Renaissance, as madmen become creatures neither diabolic nor totally human reduced to the zero degree of humanity. It is immediately clear why for Kant, speculative metaphysics must be curbed – with the problem of internal madness and without the external safeguards of transcendental conditions, there is nothing to formally separate the speculative capacities for metaphysical diagnosis from the mad ramblings of the insane mind – both equally fall outside the realm of practicality and quotidian experience. David-Menard's work is particularly useful in diagnosing the relation of thought and madness in Kant's texts. David-Menard argues that in Kant's relatively unknown “An Essay on the Maladies of the Mind” as well as his later discussion of the Seer of Swedenborg, that Kant formulates madness primarily in terms of sensory upheaval or other hallucinatory theaters. She writes: “madness is an organization of thought. It is made possible by the ambiguity of the normal relation between the imaginary and the perceived, whether this pertains to the order of sensation or to the relations between our ideas” Kant's fascination with the Seer forces Kant between the pincers of “aesthetic reconciliation” – namely melancholic withdrawal – and “a philosophical invention” – namely the critical project. Deleuze and Guattari's schizoanalysis is a combination and reversal of Kant's split, where an aesthetic over engagement with the world entails prolific conceptual invention. Their embrace of madness, however, is of course itself conceptual despite all their rhizomatic maneuvers. Though they move with the energy of madness, Deleuze and Guattari save the capacity of thought from the fangs of insanity by imbuing materiality itself with the capacity for thought. Or, as Ray Brassier puts it, “Deleuze insists, it is necessary to absolutize the immanence of this world in such a way as to dissolve the transcendent disjunction between things as we know them and as they are in themselves”. That is, whereas Kant relied on the faculty of judgment to divide representation from objectivity Deleuze attempts to flatten the whole economy beneath the juggernaut of ontological univocity. Speculation, as a particularly useful form of madness, might fall close to Deleuze and Guattari’s shaping of philosophy into a concept producing machine but is different in that it is potentially self destructive – less reliant on the stability of its own concepts and more adherent to exposing a particular horrifying swath of reality. Speculative madness is always a potential disaster in that it acknowledges little more than its own speculative power with the hope that the gibbering of at least a handful of hysterical brains will be useful. Pre-critical metaphysics amounts to madness, though this may be because the world itself is mad while new attempts at speculative metaphysics, at post-Kantian pre-critical metaphysics, are well aware of our own madness. Without the sobriety of the principle of sufficient reason we have a world of neon madness: “we would have to conceive what our life would be if all the movements of the earth, all the noises of the earth, all the smells, the tastes, all the light – of the earth and elsewhere, came to us in a moment, in an instant – like an atrocious screaming tumult of things”. Speculative thought may be participatory in the screaming tumult of the world or, worse yet, may produce its spectral double. Against theology or reason or simply commonsense, the speculative becomes heretical. Speculation, as the cognitive extension of the horrorific sublime should be met with melancholic detachment. Whereas Kant's theoretical invention, or productivity of thought, is self -sabotaging, since the advent of the critical project is a productivity of thought which then delimits the engine of thought at large either in dogmatic gestures or non-systematizable empirical wondrousness. The former is celebrated by the fiction of Thomas Ligotti whereas the latter is espoused by the tales of H.P. Lovecraft. /2/ – Weird Fiction and Philosophy. Supernatural horror, in all its eerie constructions, enables a reader to taste treats inconsistent with his personal welfare. Thomas Ligotti Songs of a Dead Dreamer. I choose weird stories because they suit my inclination best—one of my strongest and most persistent wishes being to achieve,momentarily, the illusion of some strange suspension or violation of the galling limitations of time, space, and natural law which forever imprison us and frustrate our curiosity about the infinite cosmic spaces beyond the radius of our sight and analysis H.P. Lovecraft. “Notes on Writing Weird Fiction” Lovecraft states that his creation of a story is to suspend natural law yet, at the same time, he indexes the tenuousness of such laws, suggesting the vast possibilities of the cosmic. The tension that Lovecraft sets up between his own fictions and the universe or nature is reproduced within his fictions in the common theme of the unreliable narrator; unreliable precisely because they are either mad or what they have witnessed questions the bounds of material reality. In “The Call of Cthulhu” Lovecraft writes: The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the deadly light into the peace and safety of a new dark age. Despite Lovecraft's invocations of illusion, he is not claiming that his fantastic creations such as the Old Ones are supernatural but, following Joshi, are only ever supernormal. One can immediately see that instead of nullifying realism Lovecraft in fact opens up the real to an unbearable degree. In various letters and non-fictional statements Lovecraft espoused strictly materialist tenets, ones which he borrowed from Hugh Elliot namely the uniformity of law, the denial of teleology and the denial of non-material existence. Lovecraft seeks to explore the possibilities of such a universe by piling horror upon horror until the fragile brain which attempts to grasp it fractures. This may be why philosophy has largely ignored weird fiction – while Deleuze and Guattari mark the turn towards weird fiction and Lovecraft in particular, with the precursors to speculative realism as well as contemporary related thinkers have begun to view Lovecraft as making philosophical contributions. Lovecraft's own relation to philosophy is largely critical while celebrating Nietzsche and Schopenhauer. This relationship of Lovecraft to philosophy and philosophy to Lovecraft is coupled with Lovecraft's habit of mercilessly destroying the philosopher and the figure of the academic more generally in his work, a destruction which is both an epistemological destruction and an ontological destruction. Thomas Ligotti's weird fiction which he has designated as a kind of “confrontational escapism” might be best described in the following quote from one of his shortstories, “The human phenomenon is but the sum of densely coiled layers of illusion each of which winds itself on the supreme insanity. That there are persons of any kind when all there can be is mindless mirrors laughing and screaming as they parade about in an endless dream”. Whereas Lovecraft's weirdness draws predominantly from the abyssal depths of the uncharted universe, Ligotti's existential horror focuses on the awful proliferation of meaningless surfaces that is, the banal and every day function of representation. In an interview, Ligotti states: We don't even know what the world is like except through our sense organs, which are provably inadequate. It's no less the case with our brains. Our whole lives are motored along by forces we cannot know and perceptions that are faulty. We sometimes hear people say that they're not feeling themselves. Well, who or what do they feel like then? This is not to say that Ligotti sees nothing beneath the surface but that there is only darkness or blackness behind it, whether that surface is on the cosmological level or the personal. By addressing the implicit and explicit philosophical issues in Ligotti's work we will see that his nightmarish take on reality is a form of malevolent idealism, an idealism which is grounded in a real, albeit dark and obscure materiality. If Ligotti's horrors ultimately circle around mad perceptions which degrade the subject, it takes aim at the vast majority of the focus of continental philosophy. While Lovecraft's acidic materialism clearly assaults any romantic concept of being from the outside, Ligotti attacks consciousness from the inside: Just a little doubt slipped into the mind, a little trickle of suspicion in the bloodstream, and all those eyes of ours, one by one, open up to the world and see its horror [...] Not even the solar brilliance of a summer day will harbor you from horror. For horror eats the light and digests it into darkness. Clearly, the weird fiction of Lovecraft and Ligotti amount to a anti-anthrocentric onslaught against the ramparts of correlationist continental philosophy. /3/ – Shoggothic Materialism or the Formless Formless protoplasm able to mock and reflect all forms and organs and processes—viscous agglutinations of bubbling cells—rubbery fifteen-foot spheroids infinitely plastic and ductile—slaves of suggestion, builders of cities—more and more sullen, more and more intelligent, more and more amphibious, more and more imitative—Great God! What madness made even those blasphemous Old Ones willing to use and to carve such things? H.P. Lovecraft. “At the Mountains of Madness” On the other hand, affirming that the universe resembles nothing and is only formless amounts to saying that the universe is something like a spider or spit. Georges Bataille. “Formless”. The Shoggoths feature most prominently in H.P. Lovecraft's shortstory “At the Mountains of Madness” where they are described in the following manner: It was a terrible, indescribable thing vaster than any subway train – a shapeless congeries of protoplasmic bubbles, faintly self -luminous, and with myriads of temporary eyes forming and un-forming as pustules of greenish light all over the tunnel-filling front that bore down upon us, crushing the frantic penguins and slithering over the glistening floor that it and its kind had swept so evilly free of all litter. The term is a litmus test for materialism itself as the Shoggoth is an amorphous creature. The Shoggoths were living digging machines bio engineered by the Elder Things, and their protoplasmic bodies being formed into various tools by their hypnotic powers. The Shoggoths eventually became self aware and rose up against their masters in an ultimately failed rebellion. After the Elder Ones retreated into the oceans leaving the Shoggoths to roam the frozen wastes of the Antarctic. The onto-genesis of the Shoggoths and their gross materiality, index the horrifyingly deep time of the earth a concept near and dear to Lovecraft's formulation of horror as well as the fear of intelligences far beyond, and far before, the ascent of humankind on earth and elsewhere. The sickly amorphous nature of the Shoggoths invade materialism at large, where while materiality is unmistakably real ie not discursive, psychological, or otherwise overly subjectivist, it questions the relation of materialism to life. As Eugene Thacker writes: The Shoggoths or Elder Things do not even share the same reality with the human beings who encounter them—and yet this encounter takes place, though in a strange no-place that is neither quite that of the phenomenal world of the human subject or the noumenal world of an external reality. Amorphous yet definitively material beings are a constant in Lovecraft's tales. In his tale “The Dream-Quest of Unknown Kadatth” Lovecraft describes Azathoth as, “that shocking final peril which gibbers unmentionably outside the ordered universe,” that, “last amorphous blight of nethermost confusion which blashphemes and bubbles at the centre of all infinity,” who, “gnaws hungrily in inconceivable, unlighted chambers beyond time”. Azathoth's name may have multiple origins but the most striking is the alchemy term azoth which is both a cohesive agent and a acidic creation pointing back to the generative and the decayed. The indistinction of generation and degradation materially mirrors the blur between the natural and the unnatural as well as life and non-life. Lovecraft speaks of the tension between the natural and the unnatural is his short story “The Unnameable.” He writes, “if the psychic emanations of human creatures be grotesque distortions, what coherent representation could express or portray so gibbous and infamous a nebulousity as the spectre of a malign, chaotic perversion, itself a morbid blasphemy against Nature?”. Lovecraft explores exactly the tension outlined at the beginning of this chapter, between life and thought. At the end of his short tale Lovecraft compounds the problem as the unnameable is described as “a gelatin—a slime—yet it had shapes, a thousand shapes of horror beyond all memory”. Deleuze suggests that becoming-animal is operative throughout Lovecraft's work, where narrators feel themselves reeling at their becoming non-human or of being the anomalous or of becoming atomized. Following Eugene Thacker however, it may be far more accurate to say that Lovecraft's tales exhibit not a becoming-animal but a becoming-creature. Where the monstrous breaks the purportedly fixed laws of nature, the creature is far more ontologically ambiguous. The nameless thing is an altogether different horizon for thought. The creature is either less than animal or more than animal – its becoming is too strange for animal categories and indexes the slow march of thought towards the bizarre. This strangeness is, as aways, some indefinite swirling in the category of immanence and becoming. Bataille begins “The Labyrinth” with the assertion that being, to continue to be, is becoming. More becoming means more being hence the assertion that Bataille's barking dog is more than the sponge. This would mean that the Shoggotth is altogether too much being, too much material in the materialism. Bataille suggests that there is an immanence between the eater and the eaten, across the species and never within them. That is, despite the chaotic storm of immanence there must remain some capacity to distinguish the gradients of becoming without reliance upon, or at least total dependence upon, the powers of intellection to parse the universe into recognizable bits, properly digestible factoids. That is, if we undo Deleuze's aforementioned valorization of sense which, for his variation of materialism, performed the work of the transcendental, but refuse to reinstate Kant's transcendental disjunction between thing and appearance, then it must be a quality of becoming-as-being itself which can account for the discernible nature of things by sense. In an interview with Peter Gratton, Jane Bennett formulates the problem thusly: What is this strange systematicity proper to a world of Becoming? What, for example, initiates this congealing that will undo itself? Is it possible to identify phases within this formativity, plateaus of differentiation? If so, do the phases/plateaus follow a temporal sequence? Or, does the process of formation inside Becoming require us to theorize a non-chronological kind of time? I think that your student’s question: “How can we account for something like iterable structures in an assemblage theory?” is exactly the right question. Philosophy has erred too far on the side of the subject in the subject-object relation and has furthermore, lost the very weirdness of the non-human. Beyond this, the madness of thought need not override. /4/ - Ventriloquial Idealism or the Externality of Thought My aim is the opposite of Lovecraft's. He had an appreciation for natural scenery on earth and wanted to reach beyond the visible in the universe. I have no appreciation for natural scenery and want the objective universe to be a reflection of a character. Thomas Ligotti. “Devotees of Decay and Desolation.” Unless life is a dream, nothing makes sense. For as a reality, it is a rank failure [….] Horror is more real than we are. Thomas Ligotti. “Professor Nobody's Little Lectures on Supernatural Horror”. Thomas Ligotti's tales are rife with mannequins, puppets, and other brainless entities which of replace the valorized subject of philosophy – that of the free thinking human being. His tales such as “The Dream of the Manikin” aim to destroy the rootedness of consciousness. James Trafford has connected the anti-egoism of Ligotti to Thomas Metzinger – where the self is at best an illusion and we plead desperately for someone else to acknowledge that we are real. Trafford has stated it thus, “Life is played out as an inescapable puppet show, an endless dream in which the puppets are generally unaware that they are trapped within a mesmeric dance of whose mechanisms they know nothing and over which they have no control”. An absolute materialism, for Ligotti, implies an alienation of the idea which leads to a ventriloquil idealism. As Ligotti notes in an interview, “the fiasco and nightmare of existence, the particular fiasco and nightmare of human existence, the sense that people are puppets of powers they cannot comprehend, etc.” And then further elaborates that,“[a]ssuming that anything has to exist, my perfect world would be one in which everyone has experienced the annulment of his or her ego. That is, our consciousness of ourselves as unique individuals would entirely disappear”. The externality of the idea leads to the unfortunate consequence of consciousness eating at itself through horror which, for Ligotti, is more real than reality and goes beyond horror-as-affect. Beyond this, taking together with the unreality of life and the ventriloquizing of subjectivity, Ligotti's thought becomes an idealism in which thought itself is alien and ultimately horrifying. The role of human thought and the relation of non-relation of horror to thought is not completely clear in Ligotti's The Conspiracy Against the Human Race. Ligotti argues in his The Conspiracy Against the Human Race,that the advent of thought is a mistake of nature and that horror is being in the sense that horror results from knowing too much. Yet, at the same time, Ligotti seems to suggest that thought separates us from nature whereas, for Lovecraft, thought is far less privileged – mind is just another manifestation of the vital principal, it is just another materialization of energy. In his brilliant “Prospects for Post-Copernican Dogmatism” Iain Grant rallies against the negative definition of dogmatism and the transcendental, and suggests that negatively defining both over-focuses on conditions of access and subjectivism at the expense of the real or nature. With Schelling, who is Grant's champion against the subjectivist bastions of both Fichte and Kant, Ligotti's idealism could be taken as a transcendental realism following from an ontological realism. Yet the transcendental status of Ligotti's thought move towards a treatment of the transcendental which may threaten to leave beyond its realist ground. Ligotti states: Belief in the supernatural is only superstition. That said, a sense of the supernatural, as Conrad evidenced in Heart of Darkness, must be admitted if one's inclination is to go to the limits of horror. It is the sense of what should not be- the sense of being ravaged by the impossible. Phenomenally speaking, the super-natural may be regarded as the metaphysical counterpart of insanity, a transcendental correlative of a mind that has been driven mad. Again, Ligotti equates madness with thought, qualifying both as supernatural while remaining less emphatic about the metaphysical dimensions of horror. The question becomes one of how exactly the hallucinatory realm of the ideal relates to the black churning matter of Lovecraft's chaos of elementary particles. In his tale “I Have a Special Plan for This World” Ligotti formulates thus: A: There is no grand scheme of things. B: If there were a grand scheme of things, the fact – the fact – that we are not equipped to perceive it, either by natural or supernatural means, is a nightmarish obscenity. C: The very notion of a grand scheme of things is a nightmarish obscenity. Here Ligotti is not discounting metaphysics but implying that if it does exist the fact that we are phenomenologically ill-equipped to perceive that it is nightmarish. For Ligotti, nightmare and horror occur within the circuit of consciousness whereas for Lovecraft the relation between reality and mind is less productive on the side of mind. It is easier to ascertain how the Kantian philosophy is a defense against the diseases of the head as Kant armors his critical enterprise from too much of the world and too much of the mind. The weird fiction of both Lovecraft and Ligotti demonstrates that there is too much of both feeding into one another in a way that corrodes the Kantian schema throughly, breaking it down into a dead but still ontologically potentiated nigredo. The haunting, terrifying fact of Ligotti's idealism is that the transcendental motion which brought thought to matter, while throughly material and naturalized, brings with it the horror that thought cannot be undone without ending the material that bears it either locally or completely. Thought comes from an elsewhere and an elsewhen being-in-thought. The unthinkable outside thought is as maddening as the unthought engine of thought itself within thought which doesn't exist except for the mind, the rotting décor of the brain. /5/ - Hyperstitional Transcendental Paranoia or Self -Expelled Thought Weird fiction has been given some direct treatment in philosophy in the mad black Deleuzianism of Nick Land. Nick Land along with others in the 1990s created the Cyber Culture Research Unit as well as the research group Hyperstition. The now defunct hyperstitional website, an outgrowth of the Cyber Culture Research Unit, defined hyperstition in the following fourfold: 1-Element of effective culture that makes itself real. 2-Fictional quantity functional as a time-traveling device. 3-Coincidence intensifier. 4-Call to the Old Ones. The distinctively Lovecraftian character of hyperstition is hard to miss as is its Deleuzo-Guattarian roots. In the opening pages of A Thousand Plateaus Deleuze and Guattari write, “We have been criticized for over-quoting literary authors. But when one writes, the only question is which other machine the literary machine can be plugged into”. The indisinction of literature and philosophy mirrors the mess of being and knowing as post-correlationist philosophy, where philosophy tries to make itself real where literature, especially the weird, aims itself at the brain-circuit of horror. The texts of both Lovecraft and Ligotti work through horror as epistemological plasticity meeting with proximity as well as the deep time of Lovecraft and the glacially slow time of paranoia in Ligotti. Against Deleuze, and following Brassier, we cannot allow the time of consciousness, the Bergsonian time of the duree, to override natural time, but instead acknowledge that it is an unfortunate fact of existence as a thinking being. Horror-time, the time of consciousness, with all its punctuated moments and drawn out terrors, cannot compare to the deep time of non-existence both in the unreachable past and the unknown future. The crystalline cogs of Kant's account of experience as the leading light for the possibility of metaphysics must be throughly obliterated. His gloss of experience in Prolegomena to any Future Metaphysics could not be more sterile: Experience consists of intuitions, which belong to the sensibility, and of judgments, which are entirely a work of the understanding. But the judgments which the understanding makes entirely out of sensuous intuitions are far from being judgments of experience. For in the one case the judgment connects only the perceptions as they are given in sensuous intuition [....] Experience consists in the synthetic connection of appearances in consciousness, so far as this connection is necessary. Here it is difficult to dismiss the queasiness that Kant's legalism induces upon sight for both Badiou and David-Menard. Kant's thought becomes, as Foucault says when reflecting on Sade's text in relation to nature, “the savage abolition of itself”. For Badiou, Kant's philosophy simply closes off too much of the outside, freezing the world of thought in an all too limited formalism. Critical philosophy is simply the systematized quarantine on future thinking, on thinking which would threaten the formalism which artificially grants thought its own coherency in the face of madness. Even the becoming-mad of Deleuze, while escaping the rumbling ground, makes grounds for itself, mad grounds but grounds which are thinkable in their affect. The field of effects allows for Deleuze's aesthetic and radical empiricism, in which effects and/or occasions make up the material of the world to be thought as a chaosmosis of simulacra. Given a critique of an empiricism of aesthetics, of the image, it may be difficult to justify an attack on Kantian formalism with the madness of literature, which does not aim to make itself real but which we may attempt to make real. That is, how do Lovecraft's and Ligotti's materials, as materials for philosophy to work on, differ from either the operative formalisms of Kant or the implicitly formalized images of Deleuzian empiricism? It is simply that such texts do not aim to make themselves real, and make claims to the real which are more alien to us than familiar, which is why their horror is immediately more trustworthy. This is the madness which Blanchot discusses in The Infinite Conversation through Cervantes and his knight – the madness of book-life, of the perverse unity of literature and life a discussion which culminates in the discussion of one of the weird's masters, that of Kafka. The text is the knowing of madness, since madness, in its moment of becoming-more-mad, cannot be frozen in place but by the solidifications of externalizing production. This is why Foucault ends his famous study with works of art. Furthermore extilligence, the ability to export the products of our maligned brains, is the companion of the attempts to export, or discover the possibility of intelligences outside of our heads, in order for philosophy to survive the solar catastrophe. To borrow again from Deleuze, writing is inseparable from becoming. The mistake is to believe that madness is reabsorbed by extilligence, by great works, or that it could be exorcised by the expelling of thought into the inorganic or differently organic. Going out of our heads does not guarantee we will no longer mean we cannot still go out of our minds. This is simply because of the outside, of matter, or force, or energy, or thing-in-itself, or Schopenhauerian Will. In Lovecraft’s “The Music of Erich Zahn” an “impoverished student of metaphysics” becomes intrigued by strange viol music coming from above his room. After meeting the musician the student discovers that each night he plays frantic music at a window in order to keep some horridness at bay, some “impenetrable darkness with chaos and pandemonium”. The aesthetic defenses provided by the well trained brain can bear the hex of matter for so long, the specter of unalterability within it which too many minds obliterate, collapsing everything before the thought of thought as thinkable or at least noetically mutable on our own terms. Transcendental paranoia is the concurrent nightmare and promise of Paul Humphrey's work, of being literally out of our minds. It is the gothic counterpart of thinking non-conceptually but also of thinking never belonging to any instance of purportedly solid being. As Bataille stated, “At the boundary of that which escapes cohesion, he who reflects within cohesion realizes there is no longer any room for him” Thought is immaterial only to the degree that it is inhuman, it is a power that tries, always with failure, to ascertain its own genesis. Philosophy, if it can truly return to the great outdoors, if it can leave behind the dead loop of the human skull, must recognize not only the non-priority of human thought, but that thought never belongs to the brain that thinks it, thought comes from somewhere else. To return to the train image from the beginning “a locomotive rolling on the surface of the earth is the image of continuous metamorphosis” this is the problem of thought, and of thinking thought, of being no longer able to isolate thought, with only a thought-formed structure. [1] One of the central tenets of Francois Laruelle's non-philosophy is that philosophy has traditionally operated on material already presupposed as thinkable instead of trying to think the real in itself. Philosophy, according to Laruelle, remains fixated on transcendental synthesis which shatters immanence into an empirical datum and an a prori factum which are then fused by a third thing such as the ego. For a critical account of Laruelle's non-philosophy see Ray Brassier's Nihil Unbound. (shrink)

This study analyzed the utilization of social media platforms and university students' attitudes towards academic activities in Cross River State. A descriptive survey research design was adopted for the study. The population of this study comprised all the private and public university students in Cross River State. A sample of 1,600 students, which cuts across the three universities in the area of study, was selected using the convenience sampling technique. A questionnaire (r=.849) and a rating scale (r=.786) were used as (...) the instruments for data collection. Findings emerged amongst others that the utilization status of social media platforms by university students is generally high; the utilization of Facebook, WhatsApp, Instagram, Twitter, WeChat, Skype, Snapchat, Eskimi, Telegram and YouTube social media platforms has a significant composite influence (F=52.453, p<.05) on university students' attitudes towards academic activities. Relatively, utilization of Facebook was the highest predictor (t=11.222, β=.232, p<.05), followed by the utilization of WhatsApp (t=11.068, β=.229, p<.05), utilization of Twitter (t=5.977, β=.118, p<.05), and the utilization of Instagram (t=2.772, β=.056, p<.05), in that order. It was recommended that secondary school students should develop positive attitudes towards their academic activities and abhor activities that will lead to a decline in the learning outcomes. (shrink)

In a previous article on cosmological arguments, I have put forward a few examples of complete infinite and circular explanations, and argued that complete non-wellfounded explanations such as these might explain the present state of the world better than their well-founded theistic counterparts (Billon, 2021). Although my aim was broader, the examples I gave there implied merely causal explanations. In this article, I would like to do three things: • Specify some general informative conditions for complete (...) and incomplete non-wellfounded causal explanations that can be used to assess candidate explanations and to generate new examples of complete non-wellfounded explanations. • Show that these conditions, which concern chains of causal explanations, easily generalize to chains of metaphysical, grounding explanations and even to chains involving other “determination relations” such as supervenience. • Apply these general conditions to the recent debates against the existence of nonwellfounded chains of grounds and show, with a couple of precise examples, that the latter can be complete, and that just like in the case of causal explanations, non-wellfoundedness can in fact be an aset rather than a liability. (shrink)

Environmental degradation is the most important complex of problems ever confronted by humanity. Humans are interfering with the world's ecosystems so severely that they are beginning to undermine the conditions for their own continued existence. They are polluting the air, the oceans and the land. They are rapidly exhausting the reserves of minerals and destroying the resources of the world on which civilization depends, while destroying other life forms on a massive scale. At the same time humans are increasingly enclosing (...) themselves in built environments which isolate them and fragment their lives, destroy their health and reduce them to either the dehumanized instruments of military-industrial complexes, or to abject poverty. The problem of the environment is also the problem of over-population, the disproportionate consumption of resources by Western nations and the starvation of those in the Third World who lose out in the struggle for the remainder. If present trends continue the total destruction of civilization is probable within a few hundred years - and the extinction of the human species is a real possibility. This situation also presents the greatest intellectual challenge of the era. It undermines the traditional idea of economic progress - the ultimate evaluative concept and the virtual telos of European civilization. It brings into question the economic, legal, political and ethical institutions of modern societies and the modes of thought on which they are based, including the natural and social sciences and the institutions supporting them. In doing so, it opens up the most fundamental questions about human existence: the nature of knowledge and value, of meaning and rationality, and of the significance of life itself. Confronting the environmental crisis requires a complete review of the way we think of ourselves and our place in the world. This book and its sequel, 'Beyond European Ciivlization: Marxism, Process Philosophy and the Environment', attempt this task. (shrink)

In this paper I reconstruct and discuss Antonio Rubio (1546-1615)’s theory of the composition of the continuum, as set out in his Tractatus de compositione continui, a part of his influential commentary on Aristotle’s Physics, published in 1605 but rewritten in 1606. Here I attempt especially to show that Rubio’s is a significant case of Scholastic overlapping between Aristotle’s theory of infinitely divisible parts and indivisibilism or ‘Zenonism’, i.e. the theory that allows for indivisibles, extensionless points, lines, and surfaces, which (...) are supposed to take part in the composition of the continuum. Even if such a syncretic tendency was, in many different ways, already developing in the medieval period and then at the end of the sixteenth century, Rubio’s position is indeed peculiar. He maintains that indivisibles are real and actual, infinite in act, really distinct from each other, and that, although they indwell in substance, indivisibles do not contribute directly to the constitution of the continuum. In this reconstruction, I emphasize notably Rubio’s usage of mereological notions like those of part, whole, completeness and incompleteness. (shrink)

The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational methodology allowing one to execute numerical computations with infinities and infinitesimals is applied to study the Koch snowflake at infinity. Numerical computations with actual infinite and infinitesimal numbers can be executed on the Infinity Computer being a new supercomputer patented in (...) USA and EU. It is revealed in the paper that at infinity the snowflake is not unique, i.e., different snowflakes can be distinguished for different infinite numbers of steps executed during the process of their generation. It is then shown that for any given infinite number n of steps it becomes possible to calculate the exact infinite number, Nn, of sides of the snowflake, the exact infinitesimal length, Ln, of each side and the exact infinite perimeter, Pn, of the Koch snowflake as the result of multiplication of the infinite Nn by the infinitesimal Ln. It is established that for different infinite n and k the infinite perimeters Pn and Pk are also different and the difference can be infinite. It is shown that the finite areas An and Ak of the snowflakes can be also calculated exactly (up to infinitesimals) for different infinite n and k and the difference An − Ak results to be infinitesimal. Finally, snowflakes constructed starting from different initial conditions are also studied and their quantitative characteristics at infinity are computed. (shrink)

When this article was first planned, writing was going to be exclusively about two things - the origin of life and human evolution. But it turned out to be out of the question for the author to restrict himself to these biological and anthropological topics. A proper understanding of them required answering questions like “What is the nature of the universe – the home of life – and how did it originate?”, “How can time travel be removed from fantasy and (...) science fiction, to be made scientific and practical?”, and “How can the proposed young age of genus Homo be made to actually be reasonable – when simply stating it would be solid ground for instant rejection and dismissal?” The result is that the article also talks about subjects like Artificial Intelligence, General Relativity, and cosmology. -/- From where did life originate? God? Evolution? Panspermia? If the tendency of humans and scientists to regard undiscovered science as pseudoscience can be overcome, Einstein gave another alternative to consider when he introduced General Relativity. Time isn’t linear – progressing in a straight line from past to present to future. That assumption ignores Relativity which states that space AND TIME are curved. Where did life and the genetic code come from? Can the answer build AI? -/- The first question can be answered by the section of this article titled SETI, Evolution, and Time which says life (possibly multicellular and intelligent) and the genetic code came from humans acquiring knowledge of these things over the centuries, then applying that knowledge – via terraforming, accumulation of raw materials like amino acids and nucleic acids, genetic engineering - to a time in the past when life didn’t exist. From that origin, life evolved through innumerable mutations and adaptations, with humans once again acquiring knowledge of it in cyclic (nonlinear) time. -/- The second question is answered by saying artificial intelligence (AI) as the product of life is only half of the equation. The other half refers to Relativity’s curved space-time and violation of the notion that time always travels from past to future. We have always lived in an artificially intelligent, non-probabilistic universe where everything in time and space is connected into one thing by quantum entanglement – making the brain and genes products of binary-digit activity or artificial intelligence (life is not merely dependent on biology’s “lock and key” mechanisms but also possesses AI). -/- The earliest documented representative of the genus Homo is Homo habilis, which evolved around 2.8 million years ago. Scientists used to believe there was a straight line from H. habilis to us, Homo sapiens. This article will use the “advanced” waves loved by Physics Nobel laureate Richard Feynman, view the history of science through the lens of Conic Sections applied to Relativity’s curved space-time, and incorporate the necessity of so-called imaginary time * – popularized by Prof. Stephen Hawking. While the evolutionary proposals are more in agreement with this early straight line than with modern theories, Albert Einstein’s General Relativity is used to transform the straight line into a curved line, ultimately concluding that Homo habilis (H. habilis) originated only (and unbelievably, as far as today’s science and technology is concerned) ~250,000 years ago. Other branches and dead ends of Homo – e.g. Neanderthals – are the result of mutations and adaptations, with the resultant modifications to anatomy and physiology. The surprisingly young age of H. habilis allows nearly 200,000 years for habilis, or one of its descendants, to reach Australia … if this country’s indigenous Aboriginal population did, as claimed, reach this “island continent” 60,000 years ago. -/- * The ultraviolet catastrophe, also called the Rayleigh–Jeans catastrophe, is a failure of classical physics to predict observed phenomena: it can be shown that a blackbody - a hypothetical perfect absorber and radiator of energy - would release an infinite amount of energy, contradicting the principles of conservation of energy and indicating that a new model for the behaviour of blackbodies was needed. At the start of the 20th century, physicist Max Planck derived the correct solution by making some strange (for the time) assumptions. In particular, Planck assumed that electromagnetic radiation can only be emitted or absorbed in discrete packets, called quanta. Albert Einstein postulated that Planck's quanta were real physical particles (what we now call photons), not just a mathematical fiction. From there, Einstein developed his explanation of the photoelectric effect (when quanta or photons of light shine on certain metals, electrons are released and can form an electric current). So it appears entirely possible that another supposed mathematical trickery (imaginary time and the y-axis of Wick rotation) will find practical application in the future. -/- The article includes mathematical references to cosmology (spoiler alert – you’ll read about things like Vector-Tensor-Scalar Geometry, topology, the “eternal present”, Einstein’s Unified Field, the inverse-square law, and there being no Big Bang and no multiverse - but there will also be no equations). -/- The other subheadings in this essay are – -/- NONLINEAR TIME AND ELECTRICAL ENGINEERING (about a 2009 electrical engineering experiment at America’s Yale University, and cosmic wormholes) -/- BITS AND TOPOLOGY (base-2 maths aka Binary digiTS, Mobius strips, and figure-8 Klein bottles) -/- WICK ROTATION, CAUSALITY, AND UNITING TIME (do past, present and future co-exist in an “eternal present”?) -/- DIGITAL BRAIN, DIGITAL UNIVERSE (if the brain and the universe are ultimately composed of binary digits, we'll someday be able to do the same things with the brain and universe that we now do with computers) -/- PROPOSAL: HUMAN AND ANIMAL INSTINCTS ARE THE RESULT OF THE UNIVERSE BEING UNIFIED BY BINARY DIGITS (AND TOPOLOGY) (If everything in the universe is ultimately composed of electronic BITS, then the universe must possess Artificial Intelligence - some prefer the term Cosmic Consciousness) -/- INFORMATION THEORY CONQUERS A RED GIANT (preserving Earth by keeping the Sun near today’s level of activity forever). 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This paper examines the Stoic account of apprehension (κατάληψις) (a cognitive achievement similar to how we typically view knowledge). Following a seminal article by Michael Frede (1983), it is widely thought that the Stoics maintained a purely externalist causal account of apprehension wherein one may apprehend only if one stands in an appropriate causal relation to the object apprehended. An important but unanswered challenge to this view has been offered by David Sedley (2002) who offers reasons to suppose that the (...) Stoics (or at least Zeno, the founder of the Stoa) did not make such a causal stipulation. I offer a defence of the traditional, causal reading against the challenges raised by Sedley but also argue, against the traditional view, that the Stoic account incorporated an internalist element. On the hybrid account defended here, in order to apprehend not only must the agent stand in an appropriate causal relation to the object apprehended but the agent’s appearance of the object must also be clear (a feature which is accessible to the epistemic agent). The traditional scholarly view rejects internalist interpretations because it is thought that such interpretations cannot make sense of the Stoics’ discussion of the ‘automatic assent’ produced by kataleptic appearances and a purely externalist view is taken to be charitable insofar as it saves the Stoics from a vicious regress which they would otherwise face (were they internalists). I spell out how the regress might be taken to function and defend an internalist interpretation against both these charges. The internalist element embraced by the Stoics does not lead to the problems it is often thought to and the account defended here not only does justice to the textual evidence but also sheds light on the Stoic debates with their sceptical opponents and grants the Stoics an epistemic account fit for purpose. (shrink)

In this paper I consider Simone Weil’s notion of attention as the fundamental and necessary condition for mystical experience, and investigate Iris Murdoch’s secular adaptation of attention as a moral attitude. After exploring the concept of attention in Weil and its relation to the mystical, I turn to Murdoch to address the following question: how does Murdoch manage to maintain Weil’s idea of attention, even keeping the importance of mysticism, without Weil’s religious metaphysical background? Simone Weil returns to the importance (...) of attention throughout her writing. To attend, for Weil, means to empty oneself of all that is personal, primarily one’s will, which Weil sees as the essence of the human individual. This act imitates God’s act of creation, considered as a withdrawal in order to let something other than himself exist. Since such withdrawal represents God’s supreme act of love, salvation for human beings lies in the attempt to do likewise. By giving up one’s will, while desiring God with all of one’s soul, one creates the conditions for God to descend into the soul. This ‘passive activity’ is attention. Weil’s writings had a deep impact on Iris Murdoch’s moral philosophy. In particular, Weil’s concept of attention is carried into Murdoch’s thought almost unchanged, with one striking exception: the absence of God in Murdoch’s system. Just as surprisingly, Murdoch at the same time maintains that mysticism and spirituality are crucial for morality, nor does she wish to sever the connection between attention and mysticism. Is Murdoch being inconsistent? I believe not. But the idea of attention as a mystical concept, within a metaphysics which has no room for God, requires further examination. For Murdoch, attention is the central capacity of the morally good person. Attention is, like in Weil, connected with an emptying of the self (for Murdoch the Ego) and a renunciation of will, in order to let something external make an impression in the subject. However, in Murdoch’s philosophy such external impression is not given by God, but by reality itself. Thus far, it appears, the notion of mysticism would be unnecessary. Yet for Murdoch reality is not something that we passively perceive, but something that requires a moral faculty – attention – made up of selflessness and desire for the good, in order to be apprehended. Two elements of mysticism then begin to surface: firstly, apprehension of reality requires a faculty that is not purely intellectual, but that involves the whole of the individual, including intuitions that one may be unable to explain (which Murdoch is happy to call ‘the soul’); secondly, the reality thus apprehended is considered as transcendent, insofar as its truth, infinitely distant, transcends the individual’s complete grasp. Thus the mystic, in Murdoch’s system, is regarded as an ideal moral person, not because s/he is guided by God, but because of his/her selfless ability to attend to the world beyond oneself and intuit its moral and metaphysical truth. (shrink)

This paper presents a formalization of the classical proof of completeness in Henkin-style developed by Troelstra and van Dalen for intuitionistic logic with respect to Kripke models. The completeness proof incorporates their insights in a fresh and elegant manner that is better suited for mechanization. We discuss details of our implementation in the Lean theorem prover with emphasis on the prime extension lemma and construction of the canonical model. Our implementation is restricted to a system of intuitionistic propositional logic with (...) implication, conjunction, disjunction, and falsity given in terms of a Hilbert-style axiomatization. As far as we know, our implementation is the first verified Henkin-style proof of completeness for intuitionistic logic following Troelstra and van Dalen's method in the literature. (shrink)

This paper provides an analysis of Rudolph Otto's understanding of the structures of human consciousness making possible the appropriation of revelation. Already in his dissertation on Luther's understanding of the Holy Spirit, Otto was preoccupied with how the " outer " of revelation could be united to these inner structures. Later, in his groundbreaking Idea of the Holy, Otto would explore the category of the numinous, an element of religious experience tied to the irrational element of the holy. This paper (...) first provides a brief account of Otto's account of the holy, especially its numinous, irrational elements. Second, the paper analyzes Otto's understanding of the structures of consciousness grounding the experience of the numinous and allowing the irrational element to be " schematized " by the rational element. Otto's exposition of these structures is heavily influenced by his reception of Kant's analysis of the two stems of human cognition, namely understanding and sensibility, and their possible relation to a common root, which Otto identified with what the mystics called the ground of the soul. Yet it is in Otto's reception of Kant's Critique of Judgment that all of these ideas find their completion, and it is here where we must look to understand the relation between the religious a priori and Otto's category of the numinous. Kant's aesthetic idea is a singular representation given in intuition; it is infinitely saturated and as such intimates the ideas of God, the soul, and the world as a whole. I show how Otto appropriates Kant's aesthetic idea and its relation to ideas of reason in order to make sense of how an empirically given revelation, for instance, an experience of the numinous, can connect with the inner structures of consciousness and thereby have the singular import that it does. (shrink)