Timelines is an inquiry into the nature of time, both as an apparent feature of the external physical world and as a fundamental feature of our experience of ourselves in the world. The principal argument of Timelines is that our coventional ideas about time are largely mistaken and that what we think of as independent physical time is actually our calibration of a certain relation between events. Namely, the relation between time-keeping events and the causal sequential differences of physical processes (...) which are real and independent of us. (shrink)

It is observed that most development modalities employed over the years for achieving community development in Africa have not leaved up to expectation in terms of involving the majority of people in the quest for national transformation and development; rather, these modalities tend to complicate the very problems they are set out to solve. The situation is mostly like this because the adopted development strategies have not taken adequate cognizance the essence of effective communication methods and the importance of people’s (...) perspectives and peculiarities in these processes. Mostly, the so-called outsiders and experts in development matters who are physically and socially separated from the people think for them and about their development. This situation is inimical to genuine and sustainable development. It is important therefore to note that development can only be meaningful and sustainable when it is people generated; involving people’s real needs and their participation in the process of achieving them. It is at this point therefore that community theatre can come handy as it has the potentials to bring people together to discuss issues that disempowered them and participatorily proffer solutions to the negatives. Community theatre can be explored to work with rural and urban people; mostly the rural dwellers who are mostly disempowered. In view of this therefore, this paper posits that community theatre is a method of participatory communication towards achieving social change. (shrink)

In a world befuddled by the concept of ‘fake news’, where words like ‘post-truth’ are common parlance, it is essential that we consider exactly what we think we know, what we do not and how we come to acquire such knowledge. The analysis of truth should come from an unbiased perspective and be critical of the various shibboleths that we take to heart. Appearance and Inference aims to identify the nonsense in as many knowledge-related platitudes or false assumptions as possible (...) in just over a hundred pages. Intentionally short and aphoristic, Appearance and Inference will undoubtedly provoke debate, whether or not its readers have previously considered the nature of knowledge. It is also expected to excite its academically astute readers to develop some of the analyses further. It aims to encourage the reader to think through a number of difficult matters and to exercise their own judgment, instead of supplying answers in a pre-packaged form. Inspired by the aphoristic philosophical style of philosophers such as Wittgenstein and Nietzsche, this is a book on the theory of knowledge, written by a philosopher who has had the benefit of a scientific and forensic training. It is designed for both the professional philosopher and the general reader. (shrink)

[The version of this paper published by Oxford online in 2019 was not copy-edited and has some sense-obscuring typos. I have posted a corrected (but not the final published) version on this site. The version published in print in 2020 has these corrections.] Which is more fundamental, assertion or testimony? Should we understand assertion as basic, treating testimony as what you get when you add an interpersonal addressee? Or should we understand testimony as basic, treating mere assertion -- assertion without (...) testimony -- as what you get when you subtract that interpersonal relation? In this chapter, I’ll argue for the subtractive approach and for the more general thesis that its treatment of the interpersonal element in assertion makes understanding that interpersonal element the key to understanding how assertion expresses belief. My theory of belief-expression in assertion treats it as internalizing the transmission of belief in testimony. How we understand that internalizing move depends on how we conceptualize the interpersonal element in testimony. Since what I’ll call the Command Model does not give us the conceptual resources to make this move, we should adopt an alternative that I’ll call the Custodial Model, on which a testifier aims not to convince her addressee but to reason with him – to give him reasons to believe what she tells him grounded in her trustworthiness in thus attempting to influence him. The subtractive approach to assertion thus rests on a key distinction between the aims of reasoning and persuasion. (shrink)

Plotinus’ famous treatise against the Gnostics (33), together with contemporary and thematically related treatises on Intelligible Beauty (31), on Number (34), and on Free Will and the Will of the One (39), can be seen as providing the essential components of a Plotinian defense of polytheism against conceptual moves that, while associated for him primarily with Gnostic sectarians overlapping with Platonic philosophical circles, will become typical of monotheism in its era of hegemony. When Plotinus’ Gnostics ‘contract’ divinity into a single (...) God, they not only devalue the cosmos for its multiplicity and diversity, but also multiply intelligible principles unreasonably. This is because they have foreclosed the distinction, which is to become increasingly explicit in the later antique Platonists, between the intelligible and that which is given existentially, the domain belonging to Plotinus’ indeterminate multiplicity of ‘intelligible Gods’, as opposed to the dialectically determinate number of intelligible principles. Plotinus is prescient in recognizing that incipient monotheism threatens to erase the distinction between philosophy and theology, and between both of these and psychology, the final outcome of which can only be solipsism or nihilism. The defense of polytheism is seen in this fashion to be essential to the preservation of the space for philosophical discourse. (shrink)

In the paper, certain rational postulates for protocols describing real communicating are introduced.These rational postulates, on the one hand, allow assigning a certain typology of real systems of interactions, which is consistent with the reality of epistemic argumentation in systems of communicating, and on the other one – defining rules of using argumentation in real situations. Moreover, the presented postulates for protocols characterize information networks and administering knowledge in real interactivity systems. Due to the epistemic character of the considerations, the (...) problem undertaken in the paper concerns working out fundamental assumptions that refer to building of epistemic logics. They allow establishing the correctness of the discourse defined by rational postulates of protocols of real communication. In the context of the presented problem there are the following two research questions distinguished: 1) How do we determine the rule of building of real dynamic epistemic logics? and 2) How should we define semantics for these logics? Within the framework of considerations relating to the research questions asked, certain epistemic operators, relativized to types of communicating, are introduced. Basic logical relations between using these operators are established for these operators. The relations are presented by a diagram called the square of epis temic operators. On the basis of these logical relations some axioms for real dynamic epistemic logics are presented. The semantics of real dynamic epistem ic logics is extended by the methods of lower and upper approximation of formula evaluating. This allows defining ‘approximation Kripke models’. The results of conceptualization of knowledge on real premises of epistemic argum entation presented in this paper can be applied to rhetoric in real systems of interaction. (shrink)

In this reading of the Euthyphro, Socrates and Euthyphro are seen less in a primordial conflict between reason and devotion, than as sincere Hellenic polytheists engaged in an inquiry based upon a common intuition that, in addition to the irreducible agency of the Gods, there is also some irreducible intelligible content to holiness. This reading is supported by the fact that Euthyphro does not claim the authority of revelation for his decision to prosecute his father, but rather submits it to (...) elenchus, and that Euthyphro does not embrace the ‘solution’ of theological voluntarism when Socrates explicitly offers it. Since the goal of this inquiry is neither to eliminate the noetic content of the holy, nor to eliminate the Gods’ agency, the purpose of the elenchus becomes the effort to articulate the results of this productive tension between the Gods and the intelligible on the several planes of Being implied by each conception of the holy which is successively taken up and dialectically overturned to yield the conception appropriate to the next higher plane, a style of interpretation characteristic of the ancient Neoplatonists. (shrink)

Perceptual experience is often said to be transparent; that is, when we have a perceptual experience we seem to be aware of properties of the objects around us, and never seem to be aware of properties of the experience itself. This is a introspective fact. It is also often said that we can infer a metaphysical fact from this introspective fact, e.g. a fact about the nature of perceptual experience. A transparency theory fills in the details for these two facts, (...) and bridges the gap between them. We have three aims: to scrutinize Michael Tye’s transparency theory :137–151, 2002; Consciousness revisited: materialism without phenomenal concepts, MIT Press, Cambridge, 2009; Philos Stud 170:39–57, 2014a), introduce a new transparency theory, and advance a meta-theoretical hypothesis about the interest, and import, of transparency theories. (shrink)

The essay explores the systematic relationship in the work of Giordano Bruno (1548-1600) between his monadology, his metaphysics as presented in works such as De la causa, principio et uno, the mythopoeic cosmology of Lo spaccio de la bestia trionfante, and practical works like De vinculis in genere. Bruno subverts the conceptual regime of the Aristotelian substantial forms and its accompanying cosmology with a metaphysics of individuality that privileges individual unity (singularity) over formal unity and particulars over substantial forms without (...) sacrificing a metaphysical perspective on the cosmos. The particular is individuated as a unique site of desire, continually transforming but able to entrain itself and others through phantasmatic ‘bonding’, the new source of regularity in Bruno’s polycentric universe. Bruno thus tries to do justice to the demands of intelligibility as well as transformative eros. The essay concludes with a note on Bruno’s geometry as it relates to his general conception of form. (shrink)

Continuing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Methexis 21, 2008, pp. 131-143), the present article treats of the basic characteristics of intelligible-intellective (or noetico-noeric) multiplicity and its roots in henadic individuality. Intelligible-intellective multiplicity (the hypostasis of Life) is at once a universal organization of Being in its own right, and also transitional between the polycentric henadic manifold, in which each individual is immediately productive of absolute Being, and (...) the formal intellective organization, which is monocentrically and diacritically disposed. Intelligible-intellective multiplicity is generated from the dyadic relationship of henads to their power(s), the phase of henadic individuality expressed in the second intelligible triad, and is mediated, unlike the polycentric manifold, but not by identity and difference, like the intellective organization. Instead, the hypostasis of Life is constituted by ideal motility and spatiality, figural dispositions, and the intersubjective relations depicted in the divine symposium of Plato's Phaedrus. (shrink)

Completing the systematic henadological interpretation of Proclus' Platonic Theology begun in "The Intelligible Gods in the Platonic Theology of Proclus" (Méthexis 21, 2008, pp. 131-143) and "The Second Intelligible Triad and the Intelligible-Intellective Gods" (Methexis 23, 2010, pp. 137-157), the present article concerns the conditions of the emergence of fully mediated, diacritical multiplicity out of the polycentric henadic manifold. The product of the activity of the intellective Gods (that is, the product of the intellective activity of Gods as such), in (...) resolving the contradiction between existential uniqueness and universalizable potencies in the divine natures, also grounds the human exercise of phi- losophical cognition in the founding self-analysis of divine individuals. (shrink)

Can a reason to believe testimony derive from the addressee’s trust itself or only from reliability in the speaker that the trust perhaps causes? I aim to cast suspicion on the former view, defended by Faulkner, in favor of the latter – despite agreeing with Faulkner’s emphasis on the second-personal normativity of testimonial assurance. Beyond my narrow disagreement with Faulkner lie two broader issues. I argue that Faulkner misappropriates Bernard Williams’s genealogy of testimony when he makes use of Williams’s genealogical (...) argument in his own preferred assurance view of testimony. Though Williams doesn’t clearly articulate it, there is a deep reason why Williams’s genealogy cannot underwrite an argument for trust-based testimonial reasons. Can a genealogical argument underwrite any version of the assurance view? I sketch an assurance view of testimonial reasons that rejects Faulkner’s thesis that such reasons could be grounded in trust. Then I examine what it would take for that assurance view to receive genealogical vindication. (shrink)

According to the iterative conception of set, each set is a collection of sets formed prior to it. The notion of priority here plays an essential role in explanations of why contradiction-inducing sets, such as the Russell set, do not exist. Consequently, these explanations are successful only to the extent that a satisfactory priority relation is made out. I argue that attempts to do this have fallen short: understanding priority in a straightforwardly constructivist sense threatens the coherence of the empty (...) set and raises serious epistemological concerns; but the leading realist interpretations---ontological and modal interpretations of priority---are deeply problematic as well. I conclude that the purported explanatory virtues of the iterative conception are, at present, unfounded. (shrink)

Among the most popular strategies for justifying political obligations are those that appeal to the principle of fairness. These theories face the challenge, canonically articulated by Robert Nozick, of explaining how it is that persons are obligated to schemes when they receive goods that they do not ask for but cannot reject. John Simmons offers one defense of the principle of fairness, arguing that people could be bound by obligations of fairness if they voluntarily accept goods produced by a cooperative (...) scheme. Simmons, however, thinks that such a theory will do little work in justifying political obligations, since virtually no one voluntarily accepts state goods. This paper attempts to advance just such a theory by arguing that states are in fact genuine cooperative schemes and that Simmons is overly pessimistic in his appraisal of whether the majority of citizens accept the goods provided by their states. (shrink)

This dissertation seeks to demonstrate that Proclus articulates a metaphysics not merely compatible with his polytheism, but to which in fact polytheism is integral. For Proclus the One Itself, which according to the First Hypothesis of the Parmenides neither is, nor is one, is instead as each henad, that is, as each God. The henads or Gods thus form a multiplicity unlike any other. Ontic multiplicities always exhibit mediation, in accord with a logic subordinating the many to the one. Correlatively, (...) ontic unity is formal unity, structured by a logic of wholes and parts. These are the dominant characteristics of the realm of Being. The huperousios, or "supra-essential" domain of the Gods, by contrast, is that of a multiplicity of absolute individuals with no totalizing principle over them and no reciprocal relations between them, insofar as either of these would diminish that quality which they pre-eminently possess, namely unity. The supreme form of unity in Proclus' universe, therefore, is the individuality possessed by each absolutely unique God. Chapters 1--4 are concerned with elucidating the nature of the Gods as such. ;The last three chapters provide a close reading of the third, fourth and fifth books of Proclus' Platonic Theology, which I read as an account of the emergence of ontic unity out of henadic unity through the Gods' progressive self-diremption by which a space of mediation is constituted through which they come ultimately to be conceivable as a multiplicity like any other. The key stages in this process are the ontic hypostases of Being, Life and Intellect. The first represents the analysis of the "elements" of each God as such; the second represents the positing of the Gods in co-emergent groupings or pantheons; the third the emergence of fully reciprocal relations in the actions of mythic narrative. At the end of this cosmogonic process, the basic intellectual structures have been constituted which allow the formulation of the philosophical system. The relationship between the Gods and Being is thus embodied in that between myth and dialectic, theology and philosophy. (shrink)

This paper treats two questions about the relation between trust and the will. One question, about trust, is whether you can trust ‘at will.’ Can you trust despite acknowledging that you lack evidence of the trustee’s worthiness of your trust? Another question, about the will, is whether you can exercise your will at all without trust – at least, in yourself. I treat the second question as a guide to the first, arguing that the role of trust in the will (...) reveals how you can trust at will. The key lies in distinguishing two ways of being responsive to evidence. On the one hand, you cannot trust someone – whether another person or your own earlier self – whom you judge unworthy of your trust. On the other hand, trust does not require a positive assessment of trustworthiness. I thus take issue with Pamela Hieronymi’s analysis of trust as a “commitment-constituted attitude.” Your trust is indeed constrained by your responsiveness to evidence of untrustworthiness, but you need undertake no commitment akin to or involving a judgment that the trustee is trustworthy. We can see why trust is not a commitment-constituted attitude by seeing how trust itself plays a role in forming a commitment. (shrink)

This is a sketch of the basis and role of consciousness and the minimally required elements and constraints of any setting that may produce consciousness. It proposes that consciousness (as we know it) is a biologically-mediated product of evolved recursive and hierarchically nested representational systems that obey information theoretic principles and Bayesian (probabilistic) feedback and feedforward predictive modeling processes.

This is a conjecture about the conditions and operating structures that are required for the phenomenality of certain mental states. Specifically, full-blown phenomenality is assumed, as contrasted with constrained examples of phenomenal experience such as sensations of color and pain. Propositional attitudes and content, while not phenomenal per se, are standardly concurrent and may condition phenomenal states (e.g., when tied to false beliefs). It is conjectured that full phenomenality natively arises in coherent processes of situated sensory synthesis and representation (with (...) conceptual content) that are looped, mereologically whole and multi-dimensional. And that phenomenal states are typically phase-states within a parameterized conjoint structure of world and experiencer processes that are causally modulated across Markov blankets (which are conditionally independent and may be nested: cf. M. Kirchoff, et. al., 2017, 2018; and T. Burge, 2010, re: anti-individualism). Though they may, it is not accepted that phenomenally conscious states must be targets of higher-order representations (cf. A. Byrne, 2004). (shrink)

This essay explores the possibility of constructing a structural realist interpretation of spacetime theories that can resolve the ontological debate between substantivalists and relationists. Drawing on various structuralist approaches in the philosophy of mathematics, as well as on the theoretical complexities of general relativity, our investigation will reveal that a structuralist approach can be beneficial to the spacetime theorist as a means of deflating some of the ontological disputes regarding similarly structured spacetimes.

Very little attention has been paid towards examining John Rawls’s liberal principle of legitimacy as a self-standing theory. Nevertheless, it offers a highly original way of thinking about state legitimacy. In this paper, I will offer a sketch of what such an account might look like. At its heart is the idea that the legitimacy of the state resides not in the consent of the governed, nor in the state’s conformity with the appropriate principles of justice, but rather in citizens’ (...) endorsement of the state and its underlying constitutional principles on the basis of their own comprehensive conceptions of justice. Such an account offers a stable middle ground between popular alternatives, and has a way of not just solving, but dissolving, the problem of legitimacy. (shrink)

It is tempting to interpret Marilyn Strathern as saying that the concept of nature is a social construction, because in her essay “No Nature, No Culture: the Hagen Case” she tells us that the Hagen people do not describe the world using this concept. However, I point out an obstacle to interpreting her in this way, an obstacle which leads me to reject this interpretation. Interpreting her in this way makes her inconsistent. The inconsistency is owing to a commitment that (...) she shares with previous British anthropologists, a commitment which points to an incompatibility between two intellectual traditions. (shrink)

This essay examines Hobbes’ philosophy of space, with emphasis placed on the variety of interpretations that his concept of imaginary space has elicited from commentators. The process by which the idea of space is acquired from experience, as well as the role of nominalism, will be offered as important factors in tracking down the elusive content of Hobbes’ conception of imaginary space.

If by “demon” one understands an evil occult being, then its equivalent in the Islamic narrative is the intersection of the category jinn with that of the shayātīn: a demon is a shaytān from among the jinn. The literature in the Islamic tradition on these subjects is vast. In what follows, we will select some key elements from it to provide a brief summary: first on the nature of the jinn, their nature, and their relationship to God and human beings; (...) second, on the origin, nature, and role of Shaytān (Satan himself) and the shayātīn in the moral drama of Islam. Then, we will take a closer look at the relationship between jinn and humankind, according to Islam, and the phenomena of the demonic as it manifests itself in that relation. In the process, I will entertain, tentatively, some philosophical speculation as to the nature of that ultimately mysterious relation and phenomena, drawn from what we find in the religious sources. (shrink)

This paper examines Descartes' problematic relational theory of motion, especially when viewed within the context of his dynamics, the Cartesian natural laws. The work of various commentators on Cartesian motion is also surveyed, with particular emphasis placed upon the recent important texts of Garber and Des Chene. In contrast to the methodology of most previous interpretations, however, this essay employs a modern "spacetime" approach to the problem. By this means, the role of dynamics in Descartes' theory, which has often been (...) neglected in favor of kinematic factors, is shown to be central to finding a solution to the puzzle of Cartesian motion. (shrink)

How far, if at all, do our intrapersonal and our interpersonal epistemic obligations run in parallel? This paper treats the question as addressing the stability of doxastic commitment in the two dimensions. In the background lies an analogy between doxastic and practical commitment. We’ll pursue the question of doxastic stability by coining a doxastic analogue of Gregory Kavka’s much-discussed toxin case. In this new case, you foresee that you will rationally abandon a doxastic commitment by undergoing a shift in the (...) context in which you doxastically deliberate. The case reveals an important stability condition on doxastic commitment that plays no role in cases modeled on Ulysses and the Sirens, the scenario that has shaped previous attempts to draw an analogy between doxastic and practical commitment. The stability condition thereby revealed is not diachronic -- it does not involve a shift in belief -- but we can construct specifically diachronic cases that reveal an important intrapersonal epistemic obligation. This obligation arises when you expect the shift in belief by ‘projecting’ yourself into a future doxastic context -- thus vindicating a restricted, but only this restricted, application of Bas van Fraassen’s Reflection Principle. Despite some important differences, we can use these diachronic cases as a model for interpersonal cases that reveal an important role for doxastic context in the epistemology of disagreement. But the roles played by projection and context in disagreement ensure that there is no general obligation to be responsive to the opinion of an epistemic peer who disagrees with you. (shrink)

Practical commitment is Janus-faced, looking outward toward the expectations it creates and inward toward their basis in the agent’s will. This paper criticizes Kantian attempts to link these facets and proposes an alternative. Contra David Velleman, the availability of a conspiratorial perspective (not yours, not your interlocutor’s) is what allows you to understand yourself as making a lying promise – as committing yourself ‘outwardly’ with the deceptive reasoning that Velleman argues cannot provide a basis for self-understanding. Moreover, the intrapersonal availability (...) of such a third perspective is what enables you to commit yourself ‘inwardly.’ Here I offer an alternative to Christine Korsgaard’s account of practical commitment, on which committing yourself requires identifying yourself with a principle. You needn’t identify yourself with a principle, I argue, because the unity at which you aim when you commit yourself is a unity not with your acting self but with a later perspective, where the relation is one of self-intelligibility, not self-justification, and therefore needn’t be mediated by principles. This ‘twice-future’ perspective – neither your present intending nor your (once-)future acting but a third perspective that looks back on that relation – plays the intrapersonal role played in interpersonal commitment by potential co-conspirators. Kantians are therefore right to link your ability to commit yourself with your ability credibly to express that commitment to others. But the linkage generates a strikingly unKantian result. The nature of agency cannot provide an apriori basis for honesty because what enables you to commit yourself is what also enables you to lie. (shrink)

What is so special and mysterious about the Continuum, this ancient, always topical, and alongside the concept of integers, most intuitively transparent and omnipresent conceptual and formal medium for mathematical constructions and the battle field of mathematical inquiries ? And why it resists the century long siege by best mathematical minds of all times committed to penetrate once and for all its set-theoretical enigma ? -/- The double-edged purpose of the present study is to save from the transfinite deadlock of (...) higher set theory the jewel of mathematical Continuum -- this genuine, even if mostly forgotten today raison d'etre of all set-theoretical enterprises to Infinity and beyond, from Georg Cantor to W. Hugh Woodin to Buzz Lightyear, by simultaneously exhibiting the limits and pitfalls of all old and new reductionist foundational approaches to mathematical truth: be it Cantor's or post-Cantorian Idealism, Brouwer's or post-Brouwerian Constructivism, Hilbert's or post-Hilbertian Formalism, Goedel's or post-Goedelian Platonism. -/- In the spirit of Zeno's paradoxes, but with the enormous historical advantage of hindsight, we claim that Cantor's set-theoretical methodology, powerful and reach in proof-theoretic and similar applications as it might be, is inherently limited by its epistemological framework of transfinite local causality, and neither can be held accountable for the properties of the Continuum already acquired through geometrical, analytical, and arithmetical studies, nor can it be used for an adequate, conceptually sensible, operationally workable, and axiomatically sustainable re-creation of the Continuum. -/- From a strictly mathematical point of view, this intrinsic limitation of the constative and explicative power of higher set theory finds its explanation in the identified in this study ultimate phenomenological obstacle to Cantor's transfinite construction, similar to topological obstacles in homotopy theory and theoretical physics: the entanglement capacity of the mathematical Continuum. (shrink)

My paper discusses the philosophical interrelationship between perfection, truth, and knowledge. The connection that exists between these three concepts underscores the argument of my paper that they are all one and the same thing. -/- The concepts of perfection, truth and knowledge are analysed in that order. I analyse perfection and demonstrate the practicalities of my arguments. Truth is then scrutinized and defined to illustrate its intimate relationship with perfection leading to the conclusion that knowledge being ‘truth that is perfect’. (...) -/- In dealing with the theory of knowledge, I take into account the justification of knowledge and highlighted arguments that I found to be insufficient. I derive a premise to refute and replace both the traditional and contemporary views of knowledge. -/- In the paper presented, I consider views of some prominent philosophers including; Locke, Russell, Plato, Aristotle and Leibniz. (shrink)

Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because alongside his exquisite in beauty ordinal construction and his fundamental powerset description of the continuum, Cantor has also left to us his obsessive presumption that the universe of sets should be subjected to laws similar to those governing the set of natural numbers, including the universal principles of cardinal comparability (...) and well-ordering -- and implying an ordinal re-creation of the continuum. During the last hundred years, the mainstream set-theoretical research -- all insights and adjustments due to Kurt G\"odel's revolutionary insights and discoveries notwithstanding -- has compliantly centered its efforts on ad hoc axiomatizations of Cantor's intuitive transfinite design. We demonstrate here that the ontological and epistemic sustainability} of this design has been irremediably compromised by the underlying peremptory, Reductionist mindset of the XIXth century's ideology of science. (shrink)

We present here a biblical exegesis of the value of Pi, PI_{Hebrew} = 3.141509 ..., from the well known verse 1 Kings 7:23. This verse is then compared to 2 Chronicles 4:2; the comparison provides independent supporting evidence for the exegesis.

This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton judged that space is neither a type of substance/entity nor purely a relation among such substances. A non-substantivalist reading of Newton has been famously defended by Howard Stein, among others; but, as will be demonstrated, these claims are problematic on various grounds, especially as regards Newton’s alleged rejection of the traditional substance/accident dichotomy (...) concerning space. Nevertheless, our analysis of the metaphysical foundations of Newton’s spatial theory will strive to uncover its unique and innovative characteristics, most notably, the distinctive role that Newton’s “immaterialist” spatial ontology plays in his dynamics. (shrink)

This essay explores the vexed issue of individual corporeal substance in Descartes' natural philosophy. Although Descartes' often referred to individual material objects as separate substances, the constraints on his definitions of matter and substance would seem to favor the opposite view; namely, that there exists only one corporeal substance, the plenum. In contrast to this standard interpretation, however, it will be demonstrated that Descartes' hypotheses make a fairly convincing case for the existence of individual material substances; and the key to (...) this new found individuation is a long neglected set of passages in the Principles of Philosophy. (shrink)

How must you think about time when you form an intention? Obviously, you must think about the time of action. Must you frame the action in any broader prospect or retrospect? In this essay I argue that you must: you thereby commit yourself to a specific prospect of a future retrospect – a retrospect, indeed, on that very prospect. In forming an intention you project a future from which you will not ask regretfully, referring back to your follow-through on that (...) intention, “What on earth was I thinking?” I argue that this broader attitude expresses the self-accountability necessary for practical commitment. (shrink)

Guessing the outcome of iterations of even most simple arithmetical functions could be an extremely hazardous experience. Not less harder, if at all possible, might be to prove the veracity of even a "sure" guess concerning iterations : this is the case of the famous 3x+1 conjecture. Our purpose here is to study and conceptualize some intuitive insights related to the ultimate (un)solvability of this conjecture.

The original purpose of the present study, 2011, started with a preprint «On the Probable Failure of the Uncountable Power Set Axiom», 1988, is to save from the transfinite deadlock of higher set theory the jewel of mathematical Continuum — this genuine, even if mostly forgotten today raison d’être of all traditional set-theoretical enterprises to Infinity and beyond, from Georg Cantor to David Hilbert to Kurt Gödel to W. Hugh Woodin to Buzz Lightyear.

This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards space as a form of substance or entity. A non-substantivalist interpretation of Newton’s theory has been famously championed by Howard Stein and Robert DiSalle, among others, while both Stein and the early work of J. E. McGuire have downplayed the influence of Cambridge neo-Platonism on various aspects of Newton’s own spatial (...) hypotheses. Both of these assertions will be shown to be problematic on various grounds, with special emphasis placed on Stein’s influential case for a non-substantivalist reading. Our analysis will strive, nonetheless, to reveal the unique or forward-looking aspects of Newton’s approach, most notably, his critical assessment of substance ontologies, that help to distinguish his theory of space from his neo-Platonic contemporaries and predecessors. (shrink)

The enigma of the Emergence of Natural Languages, coupled or not with the closely related problem of their Evolution is perceived today as one of the most important scientific problems. The purpose of the present study is actually to outline such a solution to our problem which is epistemologically consonant with the Big Bang solution of the problem of the Emergence of the Universe}. Such an outline, however, becomes articulable, understandable, and workable only in a drastically extended epistemic and scientific (...) oecumene, where known and habitual approaches to the problem, both theoretical and experimental, become distant, isolated, even if to some degree still hospitable conceptual and methodological islands. The guiding light of our inquiry will be Eugene Paul Wigner's metaphor of ``the unreasonable effectiveness of mathematics in natural sciences'', i.e., the steadily evolving before our eyes, since at least XVIIth century, ``the miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics''. Kurt Goedel's incompleteness and undecidability theory will be our guardian discerner against logical fallacies of otherwise apparently plausible explanations. John Bell's ``unspeakableness'' and the commonplace counterintuitive character of quantum phenomena will be our encouragers. And the radical novelty of the introduced here and adapted to our purposes Big Bang epistemological paradigm will be an appropriate, even if probably shocking response to our equally shocking discovery in the oldest among well preserved linguistic fossils of perfect mathematical structures outdoing the best artifactual Assemblers. (shrink)

Scientific enterprise is a part and parcel of the contemporaneous to it general human cultural and, even more general, existential endeavor. Thus, the fundamental for us notion of evolution, in the modern sense of this characteristically Occidental term, appeared in the 19-th century, with its everything pervading, irreversible cultural and technological change and the existential turmoil. Similarly, a formerly relatively recherché word emergence, became a widely used scientific term only in the 20-th century, with its cultural, economical, political, and national (...) sagas of emergence and destruction played against a background of the universe emerging from the Big Bang and disappearing into its black holes, if not into its ultimate Big Collapse. Today, the rules of engagement in scientific emergence-evolution games, steadily spreading from natural to cognitive sciences, and beyond, are dominated by the 19-th century concept of natural selection which has inverted the time-arrow of the classical creationist dogma, with its rarely spelled out pessimistic implication that the life is moving from the highest biological organization to an entropic chaos. In its turn, the natural selection’s excessively contagious, “do-it-yourself” optimism might ultimately turn out to be its undoing : the natural selection conjecture, when transposed to such fields as linguistics from the strictly biological scene, with its times of engagement ranging from at most hundred years of life expectancy for an individual organism to at least millions and even billions of years for evolutionary processes to bring this or that organism to existence, becomes for the first time verifiable and even falsifiable. The present paper studies some implications of the well-known but almost universally disregarded tight combinatorial morphological-semantic structure of the verbal system of Biblical Hebrew, to show that this linguistic fossil testifies to the existence of a now extinct Proto-Language whose extremely tight verbal organization and meaningful architecture made it both structurally strikingly similar and expressively vastly superior to humanly designed Assembler languages, – an absolutely novel, paradoxical phenomenon, never before and nowhere else observed and apparently incompatible with the basic tenets of modern linguistic natural selection theories and, at the very least, crying out for new explanatory linguistic paradigms. (shrink)

"The definitive clarification of the nature of the infinite has become necessary, not merely for the special interests of the individual sciences, but rather for the honour of the human understanding itself. The infinite has always stirred the emotions of mankind more deeply than any other question; the infinite has stimulated and fertilized reason as few other ideas have ; but also the infinite, more than other notion, is in need of clarification." (David Hilbert 1925).

Building on theoretical insights and rich experimental data of our preprints, we present here new theoretical and experimental results in three interrelated approaches to the Collatz problem and its generalizations: algorithmic decidability, random behavior, and Diophantine representation of related discrete dynamical systems, and their cyclic and divergent properties.

The problem of the emergence and evolution of natural languages is seen today by many specialists as one of the most difficult problems in the cognitive sciences. We believe that a key to unravelling this enigma is the close relationship of language to mathematics.

Biblical Hebrew, BH, could be seen as primarily a verbal language [1], with an average verse of the Hebrew Bible containing no less than three verbs and with the biggest part of its vocabulary representing morphological derivations from verbal roots, almost entirely triliteral, or triconsonantal, – the feature BH shares with all Semitic and a few other Afro- Asiatic languages. The unique peculiarity of this triconsonantal morphological pervasiveness did not completely escape the attention of previous generations of Western linguists, as (...) shows the following “methodological” warning opening a popular Hebrew grammar edited more than a century ago: «The roots, whatever may have been their original form, are in the Old Testament almost entirely triliteral, ... thus imposing upon the memory a very heavy strain. ... Every verb has to be learned separately; the verbs to go out, to go up, to go down are quite different, having nothing in common with one another and being quite unrelated to the verb to go.» This amusing résumé has the merit to recognize, even if under the guise of an earnestly banal pedagogical clueing in, two extraordinary fundamental linguistic phenomena common to all Semitic languages, the very objects of the present study. (shrink)

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

In the search of new approaches to the problem of emergence and evolution of natural languages, Mathematics, Theoretical Computer Science, as well as Molecular Biology and Neuroscience, both deeply penetrated and profoundly inspired by concepts originated in Mathematics and Computer Science, represent today the richest pools of formal concepts, structures, and methods to borrow and to adapt.

In a world befuddled by the concept of ‘fake news’, where words like ‘post-truth’ are common parlance, it is essential that we consider exactly what we think we know, what we do not and how we come to acquire such knowledge. The analysis of truth should come from an unbiased perspective and be critical of the various shibboleths that we take to heart. Appearance and Inference aims to identify the nonsense in as many knowledge-related platitudes or false assumptions as possible (...) in just over a hundred pages. Intentionally short and aphoristic, Appearance and Inference will undoubtedly provoke debate, whether or not its readers have previously considered the nature of knowledge. It is also expected to excite its academically astute readers to develop some of the analyses further. It aims to encourage the reader to think through a number of difficult matters and to exercise their own judgment, instead of supplying answers in a pre-packaged form. Inspired by the aphoristic philosophical style of philosophers such as Wittgenstein and Nietzsche, this is a book on the theory of knowledge, written by a philosopher who has had the benefit of a scientific and forensic training. It is designed for both the professional philosopher and the general reader. (shrink)