Georg Cantor's absolute infinity, the paradoxical Burali-Forti class Ω of all ordinals, is a monstrous non-entity for which being called a "class" is an undeserved dignity. This must be the ultimate vexation for mathematical philosophers who hold on to some residual sense of realism in set theory. By careful use of Ω, we can rescue Georg Cantor's 1899 "proof" sketch of the Well-Ordering Theorem––being generous, considering his declining health. We take the contrapositive of Cantor's suggestion (...) and add Zermelo's choice function. This results in a concise and uncomplicated proof of the Well-Ordering Theorem. (shrink)

Ortega y Gasset is known for his philosophy of life and his effort to propose an alternative to both realism and idealism. The goal of this article is to focus on an unfamiliar aspect of his thought. The focus will be given to Ortega’s interpretation of the advancements in modern mathematics in general and Cantor’s theory of transfinite numbers in particular. The main argument is that Ortega acknowledged the historical importance of the Cantor’s Set Theory, analyzed it and (...) articulated a response to it. In his writings he referred many times to the advancements in modern mathematics and argued that mathematics should be based on the intuition of counting. In response to Cantor’s mathematics Ortega presented what he defined as an ‘absolute positivism’. In this theory he did not mean to naturalize cognition or to follow the guidelines of the Comte’s positivism, on the contrary. His aim was to present an alternative to Cantor’s mathematics by claiming that mathematicians are allowed to deal only with objects that are immediately present and observable to intuition. Ortega argued that the infinite set cannot be present to the intuition and therefore there is no use to differentiate between cardinals of different infinite sets. (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)

The mathematician Georg Cantor strongly believed in the existence of actually infinite numbers and sets. Cantor’s “actualism” went against the Aristotelian tradition in metaphysics and mathematics. Under the pressures to defend his theory, his metaphysics changed from Spinozistic monism to Leibnizian voluntarist dualism. The factor motivating this change was two-fold: the desire to avoid antinomies associated with the notion of a universal collection and the desire to avoid the heresy of necessitarian pantheism. We document the changes in (...) Cantor’s thought with reference to his main philosophical-mathematical treatise, the Grundlagen (1883) as well as with reference to his article, “Über die verschiedenen Standpunkte in bezug auf das aktuelle Unendliche” (“Concerning Various Perspectives on the Actual Infinite”) (1885). (shrink)

Cantor argued that absolute infinity is beyond mathematical comprehension. His arguments imply that the domain of mathematics cannot be grasped by mathematical means. We argue that this inability constitutes a foundational problem. For Cantor, however, the domain of mathematics does not belong to mathematics, but to theology. We thus discuss the theological significance of Cantor’s treatment of absolute infinity and show that it can be interpreted in terms of negative theology. Proceeding from this interpretation, we refer to (...) the recent debate on absolute generality and argue that the method of diagonalization constitutes a modern version of the vianegativa. On our reading, negative theology can evoke an attitude of humility with respect to the boundedness of the human condition. Along these lines, we think that the foundational problem of mathematics concerning its domain can be addressed through a methodological attitude of humility. (shrink)

Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...) Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. This paper considers how the doctrine of symbolism and the philosophers' different commitments to the laws of logic, especially the Law of Non-Contradiction (LNC), enables these thinkers to articulate a transcendental apophatic approach to divinity. (shrink)

Renaissance philosopher, mathematician, and theologian Nicholas of Cusa (1401-1464) said that there is no proportion between the finite mind and the infinite. He is fond of saying reason cannot fully comprehend the infinite. That our best hope for attaining a vision and understanding of infinite things is by mathematics and by the use of contemplating symbols, which help us grasp "the absolute infinite". By the late 19th century, there is a decisive intervention in mathematics and its philosophy: the philosophical mathematician (...) Georg Cantor (1845-1918) says that between the realm of the finite and the absolute infinite, there is an intermediate realm partaking in properties in a certain sense of both the finite and the infinite: the transfinite realm. Like the finite, the transfinite realm is a realm of mathematical objects, numbers, and knowledge. Like the absolute infinite, the transfinite is a form of infinity insofar as transfinite sets and numbers transcend any finite number. Echoing Cusanus and neo-Platonism, Cantor says that the transfinite sequence of all ordinals is a symbol of the absolutely infinite, that is, God. Moreover, Cantor envisioned his transfinite set theory (Mengenlehre) as providing the analytical methods and techniques necessary for a comprehensive, organic, non-reductive description of nature, a Naturphilosophie. Thus Cantor’s novel mathematics is presented as part of a long tradition, to which Cusanus, Bruno, Spinoza, Leibniz and others belong, in which the infinity and infinite character of organic life forms is appreciated, and is in some sense a mirror or symbol of the divine. The doctrine of symbolism and their different approach to the laws of logic present in both the work of Cusanus and Cantor enables these thinkers to articulate a transcendental apophatic approach to divinity. (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)

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 is on Aristotle's conception of the continuum. It is argued that although Aristotle did not have the modern conception of real numbers, his account of the continuum does mirror the topology of the real number continuum in modern mathematics especially as seen in the work of Georg Cantor. Some differences are noted, particularly as regards Aristotle's conception of number and the modern conception of real numbers. The issue of whether Aristotle had the notion of open versus (...) closed intervals is discussed. Finally, it is suggested that one reason there is a common structure between Aristotle's account of the continuum and that found in Cantor's definition of the real number continuum is that our intuitions about the continuum have their source in the experience of the real spatiotemporal world. A plea is made to consider Aristotle's abstractionist philosophy of mathematics anew. (shrink)

It has been noticed that self-referential, ambiguous definitional formulas are accompanied by complementary self-referential antinomy formulas, which gives rise to contradictions. This made it possible to re-examine ancient antinomies and Cantor’s Diagonal Argument (CDA), as well as the method of nested intervals, which is the basis for evaluating the existence of uncountable sets. Using Georg Cantor’s remark that every real number can be represented as an infinite digital expansion (usually decimal or binary), a simplified system for verifying (...) the definitions of real numbers, subsets, and strings was created - the Cantor Criterion, which allows faulty definitions to be pointed out. For the CDA, the connection of formulas defining objects (real numbers, subsets, strings) from outside the list with supplementary formulas was demonstrated - their indirect and indispensable nature testifies to the lack of unambiguity and gives rise to contradictions for Cantor’s antinomic formulas. Thus, Cantor’s theorem about the higher power of the set of all subsets, using the reductio ad absurdum proof, lost its power and it was indicated that it is necessary to correct the scheme of the Axiom of Specification, which was introduced precisely to exclude antinomies from set theory by excluding from the use of self-referential antinomies and ambiguous supplementary formulas coupled with them identified by the H hypothesis. The method of nested intervals was investigated and it was shown that every real number can be defined by the limit of nested intervals and a countable list of real numbers obtained from a countable pool of all Jules Richard’s texts. (shrink)

This book tries to present math to the millions and does a pretty good job. It is simple and sometimes witty but often the literary allusions intrude and the text bogs down in pages of relentless math--lovely if you like it and horrid if you don´t. If you already know alot of math you will still probably find the discussions of general math, geometry, projective geometry, and infinite series to be a nice refresher. If you don´t know any and don´t (...) have a natural talent for it, you will find it very dense or impossible. Being somewhere in the middle I skimmed thru most of it and slowed down when it got interesting. If you have only a little time I would suggest the last chapter ´The Abyss` about Georg Cantor and transfinite arithmetic. -/- At points they wax philosophical and ask the perennial question: is math is out there in the world or in here in our heads. Why not ask this about art or music or literature or computer programs or philosophy itself? In a very general way math must come from the same place that words and ideas and images come from---our brain evolved to make them and they must in many ways (every way?) reflect the structure of our brains, which reside in our DNA, which was shaped by natural selection, which was shaped by the geology of the earth and the structure of our universe, which comes from particle physics which comes from the laws of nature which are just there. -/- I have written extensively on the nature of math and language and mind and how they are all one in my many other reviews so please see them if these topics interest you. Those interested in all my writings in their most recent versions may consult my e-book Philosophy, Human Nature and the Collapse of Civilization - Articles and Reviews 2006-2016 662p (2016). -/- All of my papers and books have now been published in revised versions both in ebooks and in printed books. -/- Talking Monkeys: Philosophy, Psychology, Science, Religion and Politics on a Doomed Planet - Articles and Reviews 2006-2017 (2017) https://www.amazon.com/dp/B071HVC7YP. -/- The Logical Structure of Philosophy, Psychology, Mind and Language in Ludwig Wittgenstein and John Searle--Articles and Reviews 2006-2016 (2017) https://www.amazon.com/dp/B071P1RP1B. -/- Suicidal Utopian Delusions in the 21st century: Philosophy, Human Nature and the Collapse of Civilization - Articles and Reviews 2006-2017 (2017) https://www.amazon.com/dp/B0711R5LGX -/- . (shrink)

A surprising feature of the White Rose anti-Nazi resistance pamphlets is their appeal to a foundational classical Chinese text, the Laozi (otherwise known as the Daodejing), to buttress their critique of fascism and authoritarianism. I argue that from the perspective of a 1942 educated readership, the act of quoting the Laozi functioned as a subtle and pointed nod to anti-fascist intellectuals in pre-war Germany, many of whom had interpreted the Laozi as an anti-authoritarian and pacifist text. To a sympathetic reader, (...) the Laozi therefore constituted an apt reference point for critiquing National Socialism. I then introduce a complication for this wartime reading of the Laozi from the perspective of its ambiguous reception in ancient Chinese political thought. I more specifically discuss an ancient line of interpretation of the Laozi that points in the direction of authoritarianism — in stark tension with the White Rose message of passive resistance and popular revolt. (shrink)

The context for biological emergence is modular hierarchical structures; their existence is what enables functional complexity to arise. Because of the openness of organisms to their environment, complete initial data (position, momentum) of all particles making up their structure is insufficient to determine future outcomes, because unpredictable new matter, energy, and information impacts each organism from the exterior. Consequently, through Darwinian evolution, life has developed processes to handle this issue functionally on short time scales as well on longer developmental timescales. (...) Symbolism and technology are the transforming factors handling this issue at the social levels, which is where the most sophisticated outcomes of openness occur. Considering the cosmological context, the issue is, should the universe itself be regarded as an open system over time? I make the case that is indeed so, because radically new outcomes occur such as the existence of aircraft, iPads, and the internet, which could not plausibly have been encoded in some form of data on the Last Scattering Surface in the expanding universe. (shrink)

My aim in this paper is to show how the functionalist standards assumed in the AI debate are, in fact, the assumptions of a capitalist, ableist society writ large. The already established argument against the proposed humanity of AI systems implies a wider critique of the entire ideology of functionalism under which the notion of intelligent machines has taken root.

This paper constructs a model of metaphysical indeterminacy that can accommodate a kind of ‘deep’ worldly indeterminacy that arguably arises in quantum mechanics via the Kochen-Specker theorem, and that is incompatible with prominent theories of metaphysical indeterminacy such as that in Barnes and Williams (2011). We construct a variant of Barnes and Williams's theory that avoids this problem. Our version builds on situation semantics and uses incomplete, local situations rather than possible worlds to build a model. We evaluate the resulting (...) theory and contrast it with similar alternatives, concluding that our model successfully captures deep indeterminacy. (shrink)

Os dois ensaios aqui traduzidos: “Uma visita a uma glândula pineal”, publicado originalmente em 21 de abril de 1713 no número 35 do Guardian e a “A glândula pineal (continuação)”, publicado no dia 25 de abril, no número 39, formam uma unidade não apenas pela referência a ideia de glândula pineal concebida por Descartes como ponto de interação entre a alma e o corpo, mas também pela forma literária e pelo pseudônimo comum. Eles fazem parte de um conjunto de quatorze (...) ensaios atribuídos a George Berkeley, reunidos e publicados pela primeira vez apenas em 1871, no volume III da edição organizada por A. C. Fraser. Os ensaios publicados no Guardian foram escritos durante a permanência de Berkeley em Londres em 1713, quando Jonathan Swift (1667-1745) e Richard Steele (1672-1729), seus conterrâneos, contribuiriam para lhe abrir caminho no ambiente literário inglês. O principal objetivo de Berkeley ao publicar os ensaios foi o de defender o teísmo cristão contra os “livre-pensadores” da época, assumidos como materialistas e ateus. A tradução aqui apresentada foi realizada com base na edição organizada por Luce e Jessop. The Works of George Berkeley Bishop of Cloyne. Luce, A. A. and Jessop, T. E. London and Edimburgh: Nelson, 1948, v. 7, 185-192. (shrink)

The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff. The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer’s philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein’s generalization of the use of geometrical transformations in his Erlangen program. The second aim (...) is to analyze the specific character of Cassirer’s geometrical structuralism formulated in 1910 as well as in subsequent writings. As will be argued, his account of modern geometry is best described as a “methodological structuralism”, that is, as a view mainly concerned with the role of structural methods in modern mathematical practice. (shrink)

This paper argues that participation in an intimate relationship can generate additional or stronger reasons for one to act paternalistically toward the intimate. Moreover, participation in such a relationship can also weaken or cancel some of the presumptive reasons of respect one would otherwise have not to interfere. The paper also reflects, more generally, on the nature of intimate relationships, the normative significance of paternalism, and the normative differences between paternalism in larger-scale institutional contexts and paternalism in closer, interpersonal ones. (...) -/- . (shrink)

Indeterminacy in its various forms has been the focus of a great deal of philosophical attention in recent years. Much of this discussion has focused on the status of vague predicates such as ‘tall’, ‘bald’, and ‘heap’. It is determinately the case that a seven-foot person is tall and that a five-foot person is not tall. However, it seems difficult to pick out any determinate height at which someone becomes tall. How best to account for this phenomenon is, of course, (...) a controversial matter. For example, some (such as Sorensen (2001) and Williamson (2002)) maintain that there is a precise height at which someone becomes tall and such apparent cases of indeterminacy merely reflects our ignorance of this fact. Others maintain that there is some genuine – and not merely epistemic – indeterminacy present is such cases and offer various accounts of how best to account for it. Supervaluationists (such as Keefe (2008)), for example, claim that the indeterminacy with respect to vague terms lies in their not having a single definite extension. Rather, each term is associated with a range of possible precise extensions or precisifications such that it is semantically unsettled which is the correct extension. One precisification of ‘tall’ might allow that anyone over five feet ten inches is tall, whereas another would only allow those over six foot to qualify; but no precisification will take someone who is five foot to be tall, and someone who is seven foot will count as tall on all precisifications. Thus – while someone who is seven foot will be determinately tall and someone who is five foot determinately not so – it will be indeterminate whether someone who stands at five foot eleven inches is tall. -/- Yet, it is important to stress that putative cases of indeterminacy are not limited to vague predicates of this kind. Philosophers have invoked indeterminacy in discussions of topics as diverse as moral responsibility (Bernstein (forthcoming)), identity over time (Williams (2014)), and the status of the future (Barnes and Cameron (2009)). In this paper, we focus on two areas where discussion of various kinds of indeterminacy has been commonplace: physics and fiction. We propose a new model for understanding indeterminacy across these domains and argue that it has some notable advantages when compared to earlier accounts. Treating physics and fiction cases univocally also indicates an interesting connection between indeterminacy in these two areas. (shrink)

While it is widely agreed that Hegel’s philosophy is a philosophy of freedom, the significance and scope of Hegel’s theory of freedom is disputed. Most scholarly work on this topic has been devoted to the socio-political philosophy of the Philosophy of Right. But Hegel also speaks of freedom in a way which extends beyond the concerns of his socio-political thought. This dissertation demonstrates how Hegel’s theory of freedom is more fully grasped when it is understood as a comprehensive philosophy which (...) also involves an ontology (a logic of being) and a phenomenology (a direct experience of this logic). The free state which Hegel outlines in the Philosophy of Right is still only a limited manifestation of a freedom which also pervades other aspects of human experience. A way of thinking which is “free” (in the sense that it does not restrict itself by assuming false methodological limitations) is itself essential to our capacity for rational self-determination. Moreover, this “speculative” perspective has only been achieved through the gradual cultivation (Bildung) of the free personality throughout history. -/- This dissertation therefore investigates why Hegel thinks that freedom is at issue in abstract philosophical thought (in his logical works) as well as in concrete historical phenomena (in the Phenomenology of Spirit). This logic and appearance of freedom explicates Hegel’s statement in the Preface of the Phenomenology that the absolute is not only substance, but also subject. Having shown that both the ancient freedom of the “social substance” and the modern freedom of the “pure I” are untenable on their own terms, Hegel advances a logical and phenomenological theory of freedom in which these one-sided truths are reconciled with each other. The “substantial subject” of Hegelian freedom more fully actualizes the purely subjective freedom of the Enlightenment, enabling true individual self-determination. Freedom appears not just as the right to make arbitrary choices, but as substantial thought and conviction. (shrink)

Reflections and projections upon the history of ontology and its meaning for the future of philosophy.

This study provides a unified theory of properties, relations, and propositions (PRPs). Two conceptions of PRPs have emerged in the history of philosophy. The author explores both of these traditional conceptions and shows how they can be captured by a single theory.

Cicero’s "Academica" offers a particularly rich demonstration of how the unhappy dialectic between stoicism and skepticism engages Roman historical self-consciousness. The Hegelian thesis of philosophy as mediated through historical development is given a clear articulation in the “derivative” Romans, precisely through their reception of a tradition, their experience of philosophy as inseparable from the self-consciousness of historical relation. The dispute happening in the "Academica" between a dogmatic stoicism and academic skepticism thus directly echoes the problems of contemporary 21st century philosophy (...) insofar as the structures of the unhappy consciousness endure in the “academic” give and take between the authority of received doctrine (say, of mainstream post-classical analytic philosophy) and their subversion in skeptical critique. (shrink)

If a political theory of ownership is to be acceptable, it must rationally prescribe one system or model of ownership as opposed to others. Such a prescription would be rational only if strong normative arguments could be mounted to show it more desirable than its competitors. Thus, the prefatory work for such a theory would consist in the construction of viable models of ownership from which a sound choice could be made. This project would, however, be successful only if originating (...) from coherent, evaluatively neutral analyses of the concept of ownership and other related ideas. The point of this essay is to do this prefatory work. (shrink)

In this paper, I propose a framework that supports both free will and anomalous mind-matter interaction (psychokinesis). I begin by considering the argument by the physicist Sean Carroll that the laws of physics as we understand them rule out psychokinesis (and other modes of psi). I find Carroll’s claims problematic, in part due to what I believe are misunderstandings of arguments borrowed from David Hume. I proceed to consider a more dispositional notion of causality (in contrast to one characterized by (...) universal and necessary laws) which I argue is more hospitable to both psychokinesis and free will. I then incorporate recent work from the philosophy of mind and science to arrive at a framework that supports both real volition and psychokinesis, which I argue are intimately linked. This approach is fundamentally dispositional, but grounded in an ontologically prior field of awareness and potentiality. I also consider that the regularities (or causal natures) we observe in our physical world are ultimately supported by what we might term teleological “intentions” within a nonlocal, mind-like quantum ground. (shrink)

Social scientists, political scientists and philosophers debate key concepts such as democracy, power and autonomy. Contested concepts like these pose questions: Are terms such as “democracy” hopelessly ambiguous? How can two theorists defend alternative accounts of democracy without talking past each other? How can we understand debates in which theorists disagree about what democracy is? This paper first discusses the popular strategy to answer these questions by appealing to Rawls’s distinction between concepts and conceptions. According to this approach, defenders of (...) rival conceptions of, e.g. justice can disagree without talking past each other because they share the concept of justice. It is argued that this idea is attractive but limited in application and that it fails to do justice to the dynamic and normative aspects of concept formation. Reflective equilibrium is then suggested as an alternative approach. It replaces the static contrast between a conceptual ‘core’ and competing conceptions by a dynamic perspective of concept formation as a partly normative undertaking: pre-theoretic language use and commitments can provide a shared starting point for developing alternative accounts which yield different concepts of, e.g. justice. This perspective provides a new understanding of how it is possible that different theorists defend rival accounts of, e.g. justice, without talking past each other. (shrink)

This paper argues that debates between the Confucians and Mohists in Classical China anticipate contemporary discussions in political philosophy. Specifically, their debates about our responsibilities to other people are akin to debates between Rawlsans, Cosmopolitans, and Utilitarians about the content of our political obligations to other people, and about the proper scope of application of norms of justice.

This paper draws on the deconstruction(ist) toolbox and specifically on the textual unweaving tactics of supplementarity, exemplarity, and parergonality, with a view to critically assessing institutional (UNESCO’s) and ordinary tourists’ claims to authenticity as regards artifacts and sites of ‘cultural heritage’. Through the ‘destru[k]tion’ of claims to ‘originality’ and ‘myths of origin’, that function as preservatives for canning such artifacts and sites, the cultural arche-writing that forces signifiers to piously bow before a limited string of ‘transcendental signifieds’ is brought to (...) full view. The stench of the aeons is thus forced to evaporate through a post-transcendentalist opening towards originary myths’ original doubles. (shrink)

The paper begins with a clarification of the notions of intuition (and, in particular, modal intuition), modal error, conceivability, metaphysical possibility, and epistemic possibility. It is argued that two-dimensionalism is the wrong framework for modal epistemology and that a certain nonreductionist approach to the theory of concepts and propositions is required instead. Finally, there is an examination of moderate rationalism’s impact on modal arguments in the philosophy of mind -- for example, Yablo’s disembodiment argument and Chalmers’s zombie argument. A less (...) vulnerable style of modal argument is defended, which nevertheless wins the same anti-materialist conclusions sought by these other arguments. (shrink)

In the Protagoras, Socrates argues that all the virtues are the very same knowledge of human wellbeing so that virtue is all one. But elsewhere Socrates appears to endorse that the virtues-such as courage, temperance, and reverence-are different parts of a single whole. Ambiguity interpretations harmonize the conflicting texts by taking the virtue words to be equivocal, such as between theoretical and applied expertise, or between a power and its deeds. I argue that such interpretations have failed in their specifics (...) and in general, as I defend an alternative that takes into account Socrates' higher purpose in testing others, namely to show them their ignorance of virtue. (shrink)

In this article I examine language used to define, express, and exploit “National Socialism”. These different uses vary in time and purpose, and need to be understood in context. The Nazis did not create much of the language most closely associated with National Socialism, but their use of certain language, symbols, and images has been so firmly established that we immediately recognize them even when partially spoken or indirectly referenced. This easy recognition, combined with the emotional charge of anger and (...) horror, lends itself to commercial and political exploitation. I discuss this with examples from scholarly publishing and current events, and also discuss possibilities for crowd manipulation made possible by political use of interactive social networks. (shrink)

The topic of a priori knowledge is approached through the theory of evidence. A shortcoming in traditional formulations of moderate rationalism and moderate empiricism is that they fail to explain why rational intuition and phenomenal experience count as basic sources of evidence. This explanatory gap is filled by modal reliabilism -- the theory that there is a qualified modal tie between basic sources of evidence and the truth. This tie to the truth is then explained by the theory of concept (...) possession: this tie is a consequence of what, by definition, it is to possess (i.e., to understand) one’s concepts. A corollary of the overall account is that the a priori disciplines (logic, mathematics, philosophy) can be largely autonomous from the empirical sciences. (shrink)

Μολονότι ο Προυντόν δεν κατέχει πλέον τη θέση αυτή, τον 19ο αιώνα θεωρούνταν, και πιθανόν να ήταν, ο επιδραστικότερος θεωρητικός της δημοκρατικής και σοσιαλιστικής παράταξης. Η επανεμφάνιση στον σύγχρονο θεωρητικό αλλά και τον δημόσιο λόγο μιας σειράς εννοιών και ιδεών, όπως φεντεραλισμός, αμοιβαιότητα, αποκέντρωση, πλουραλισμός, εξισορρόπηση και ριζοσπαστική μεταρρύθμιση, κάνουν απαραίτητη την εκ νέου εξέταση και αξιολόγηση του έργου αυτού του σπουδαίου, αλλά και αντιφατικού, στοχαστή. Τα κείμενα του τόμου συνθέτουν ένα μωσαϊκό το οποίο προσφέρει στον αναγνώστη μια εισαγωγή στο (...) έργο του Προυντόν, μέσα από μια ποικιλία προοπτικών. Ο τόμος συμπληρώνεται από την πρώτη μετάφραση στα ελληνικά κειμένων του Προυντόν για τη διαλεκτική, την κατάργηση της πολιτικής και θρησκευτικής αυθεντίας και την οργάνωση της κοινωνίας στη βάση της αμοιβαιότητας. Ο αναγνώστης θα βρει επίσης ένα αναλυτικό χρονολόγιο για τη ζωή και το έργο του Προυντόν, καθώς και έναν εκτενή οδηγό πλοήγησης στη βιβλιογραφία. (Από την παρουσίαση στο οπισθόφυλλο του βιβλίου) Περιεχόμενα Πρόλογος των επιμελητών ΠΟΛΙΤΙΚΗ ΚΑΙ ΟΙΚΟΝΟΜΙΑ Κώστας Γαλανόπουλος Η φιλοσοφική βάση του μεταρρυθμιστικού αναρχισμού του Προυντόν Βάνα Καραφουλίδου Κοινότητα και ομοσπονδία. Το χαμένο στοίχημα του Προυντόν Γιώργος Δρίτσας Καταμερισμός της εργασίας, μηχανή και ελευθερία στον Προυντόν Αλέξανδρος Σχισμένος Αναρχισμός και αμοιβαιότητα, οικονομισμός και σεξισμός. Αντιφάσεις μεταξύ του επαναστατικού και του συντηρητικού στοιχείου στο έργο του Προυντόν ΚΡΙΤΙΚΗ ΤΗΣ ΙΔΙΟΚΤΗΣΙΑΣ Διονύσης Ε. Δράκος Η σύλληψη της ιδιοκτησίας στο έργο του Προυντόν Λευτέρης Χουντουλίδης Τι είναι ιδιοκτησία; Από την αγωνία των ορισμών στην εργασία των εννοιών του Πιερ-Ζοζέφ Προυντόν Η ΜΕΘΟΔΟΣ ΤΟΥ ΠΡΟΥΝΤΟΝ Νίκος Μαρούπας Αναρχισμός όπως πραγματισμός. Η συμβολή του Προυντόν στη φιλοσοφία της εμπειρίας Γιώργος Φαράκλας Για τη σειραϊκή διαλεκτική Γιώργος Σαγκριώτης Το δικαίωμα του Προυντόν Ο ΠΡΟΥΝΤΟΝ ΣΤΗΝ ΕΠΟΧΗ ΤΟΥ Δημήτρης Φούφουλας Πολεμικές των ονειροπόλων κατά τον μακρό 19ο αιώνα: Ο Προυντόν, ο Λερού και η επαναστατική συγκυρία του 1848 Γιάννης Μήτρου Για την αισθητική του καλλιτεχνικού μέσου. Το αισθητικό και οι κοινωνικές του μετατοπίσεις στον Προυντόν Γιώργος Μιχαηλίδης Η αισθητική επανάσταση. Προυντόν και Βάγκνερ Ο ΠΡΟΥΝΤΟΝ ΣΤΗΝ ΕΠΟΧΗ ΜΑΣ Γιάννης Φλυτζάνης Η πρόσληψη της θεωρίας του Προυντόν από τον Ανρί Λεφέβρ. Η προοπτική μιας ριζοσπαστικής δημοκρατίας και η διαμάχη με τους καταστασιακούς Γιάννης Κτενάς Κοινό, δίκαιο, φεντεραλισμός. Ο Προυντόν των Λαβάλ και Νταρντό Ο ΠΡΟΥΝΤΟΝ ΣΤΗΝ ΙΣΤΟΡΙΑ ΤΩΝ ΙΔΕΩΝ Έντουαρντ Κάσλετον / Edward Castleton Πριν ο Θεός γίνει κακός. Ο Πιερ-Ζοζέφ Προυντόν και η πρόσληψη της γερμανικής φιλοσοφίας στη Γαλλία στα μέσα του 19ου αιώνα ΚΕΙΜΕΝΑ ΤΟΥ ΠΡΟΥΝΤΟΝ Γεγονότα κοινά σε όλες τις επιστήμες Η κοινωνία χωρίς την αυθεντία Απαλοιφή των κυβερνητικών λειτουργιών. Θρησκεύματα Για το συνεταιρισμό, εντός της αμοιβαιότητας Βιβλιογραφία Χρονολόγιο Βιογραφικά συγγραφέων -/- Επιμέλεια: Κώστας Γαλανόπουλος, Γιάννης Κτενάς, Γιώργος Φαράκλας. (shrink)

A close look at Frege's proof in "Foundations of Arithmetic" that every number has a successor. The examination reveals a surprising gap in the proof, one that Frege would later fill in "Basic Laws of Arithmetic".

Past research has identified a number of asymmetries based on moral judgments. Beliefs about what a person values, whether a person is happy, whether a person has shown weakness of will, and whether a person deserves praise or blame seem to depend critically on whether participants themselves find the agent's behavior to be morally good or bad. To date, however, the origins of these asymmetries remain unknown. The present studies examine whether beliefs about an agent's “true self” explain these observed (...) asymmetries based on moral judgment. Using the identical materials from previous studies in this area, a series of five experiments indicate that people show a general tendency to conclude that deep inside every individual there is a “true self” calling him or her to behave in ways that are morally virtuous. In turn, this belief causes people to hold different intuitions about what the agent values, whether the agent is happy, whether he or she has shown weakness of will, and whether he or she deserves praise or blame. These results not only help to answer important questions about how people attribute various mental states to others; they also contribute to important theoretical debates regarding how moral values may shape our beliefs about phenomena that, on the surface, appear to be decidedly non-moral in nature. (shrink)

Professor Fletcher challenges the traditional account of the development of tort doctrine as a shift from an unmoral standard of strict liability for directly causing harm to a moral standard based on fault. He then sets out two paradigms of liability to serve as constructs for understanding competing ideological viewpoints about the proper role of tort sanctions. He asserts that the paradigm of reciprocity, which looks only to the degree of risk imposed by the parties to a lawsuit on each (...) other, and to the existence of possible excusing conditions, provides greater protection of individual interests than the paradigm of reasonableness, which assigns liability instrumentally on the basis of a utilitarian calculus. Finally, Professor Fletcher examines stylistic differences between the two paradigms which may explain the modern preference for the paradigm of reasonableness. (shrink)

This paper provides a defense of two traditional theses: the Autonomy of Philosophy and the Authority of Philosophy. The first step is a defense of the evidential status of intuitions (intellectual seemings). Rival views (such as radical empiricism), which reject the evidential status of intuitions, are shown to be epistemically self-defeating. It is then argued that the only way to explain the evidential status of intuitions is to invoke modal reliabilism. This theory requires that intuitions have a certain qualified modal (...) tie to the truth. This result is then used as the basis of the defense of the Autonomy and Authority theses. The paper closes with a defense of the two theses against a potential threat from scientific essentialism. (shrink)

Radical empiricism is the view that a person's experiences (sensory and introspective), or a person's observations, constitute the person's evidence. This view leads to epistemic self-defeat. There are three arguments, concerning respectively: (1) epistemic starting points; (2) epistemic norms; (3) terms of epistemic appraisal. The source of self-defeat is traced to the fact that empiricism does not count a priori intuition as evidence (where a priori intuition is not a form of belief but rather a form of seeming, specifically intellectual (...) as opposed to sensory). Moderate rationalism, by contrast, avoids self-defeat. (shrink)

Purpose – This paper furnishes an inaugural reading of abjective consumption by drawing on Kristeva’s psychoanalytic theory of abjection within the wider terrain of consumer cultural research. It offers a conceptual framework that rests on three pillars, viz. irrationality, meaninglessness, dissolution of selfhood. Design/methodology/approach – Qualitative research design that adopts a documentary ethnographic approach, by drawing on a corpus of 50 documentary episodes from the TV series “My Strange Addiction” and “Freaky Eaters”. Findings – The findings from this analysis point (...) to different orders of mediatized discourse that are simultaneously operative in different actors’ frames (e.g. moralizing, medical), in Goffman’s terms, yet none of which attains to address the phenomenon of abjective consumption to its fullblown extent. Research limitations/implications – Although some degree of bias is bound to be inherent in the data because of their pre-recorded status, they are particularly useful not in the least because this is a “difficult sample” in qualitative methodological terms. Practical implications – The multi-order dimensionalization of abjective consumption opens up new vistas to marketers in terms of adding novel dimensions to the message structure of their communicative programs, in line with the three Lacanian orders. Social implications – The adoption of a consumer psychoanalytic perspective allows significant others to fully dimensionalize the behavior of abjective consumption subjects, by becoming sensitive to other than symbolic aspects that are endemic in consumer behavior. Originality/value – This paper contributes to the extant consumer cultural research literature by furnishing the novel conceptual framework of abjective consumption, as a further elaboration of my consumer psychoanalytic approach to jouissance consumption, as well as by contrasting this interpretive frame vis-à-vis dominant discursive regimes. (shrink)

This paper offers a brand storytelling, that is a narratological account of Covid-19 pandemic’s emergence phase. By adopting a fictional ontological standpoint, the virus’ deploying media story-world is identified with a process of narrative spacing. Subsequently, the brand’s personality is analyzed as a narrative place brand. The narrative model that is put forward aims at outlining the main episodes that make up the virus’ brand personality as process and structural components (actors, settings, actions, relationships). A series of deep or ontological (...) metaphors are singled out as the core DNA of this place brand, by applying metaphorical modeling to the tropical articulation of Covid-19’s narrative. The virus’ kernel is identified with terror, as a menacing force that wipes out existing regimes of signification due to its uncertain motives, origins and operational mode. In this context, familiar urban spaces, cultural practices and intersubjective communications are redefined, repurposed and reprogrammed. This process is called terrorealization, as the desertification and metaphorical sublation of all prior territorial significations. This study contributes to the narrative sub-stream of place branding by approaching a globally relevant sociocultural phenomenon from a brand storytelling perspective. (shrink)

Written in the fourth century BCE, Philebus is likely one of Plato’s last Socratic dialogues. It is also famously difficult to read and understand. A multilayered inquiry into the nature of life, Philebus has drawn renewed interest from scholars in recent years. Yet, until now, the only English-language commentary available has been a work published in 1897. This much-needed new commentary, designed especially for philosophers and advanced students of ancient Greek, draws on up-to-date scholarship to expand our understanding of Plato’s (...) complex work. In his in-depth introduction, George Rudebusch places the Philebus in historical, philosophical, and linguistic context. As he explains, the dialogue deals with the question of whether a good life consists of pleasure or knowing. Yet its exploration of this question is riddled with ambiguity. With the goal of facilitating comprehension, particularly for students of philosophy, Rudebusch divides his commentary into twenty discrete subarguments. Within this framework, he elucidates the significance—and possible interpretations—of each passage and dissects their philological details. In particular, he analyzes how Plato uses inference indicators (that is, the Greek words for “therefore” and “because”) to establish the structure of the arguments, markers difficult to present in translation. A detailed and thorough commentary, this volume is both easy to navigate and conducive to new interpretations of one of Plato’s most intriguing dialogues. (shrink)

The cultural consumption research landscape of the 21st century is marked by an increasing cross-disciplinary fermentation. At the same time, cultural theory and analysis have been marked by successive ‘inter-’ turns, most notably with regard to the Big Four: multimodality (or intermodality), interdiscursivity, transmediality (or intermediality), and intertextuality. This book offers an outline of interdiscursivity as an integrative platform for accommodating these notions. To this end, a call for a return to Foucault is issued via a critical engagement with the (...) so-called practice-turn. This re-turn does not seek to reconstitute venerably Foucauldianism, but to theorize ‘inters-’ as vanishing points that challenge the integrity of discrete cultural orders in non-convergent manners. The propounded interdiscursivity approach is offered as a reading strategy that permeates the contemporary cultural consumption phenomena that are scrutinized in this book, against a pan-consumptivist framework. By drawing on qualitative and mixed methods research designs, facilitated by CAQDAS software, the empirical studies that are hosted here span a vivid array of topics that are directly relevant to both traditional and new media researchers, such as the consumption of ideologies in Web 2.0 social movements, the ability of micro-celebrities to act as cultural game-changers, the post-loyalty abjective consumption ethos. The theoretically novel approaches on offer are coupled with methodological innovations in areas such as user-generated content, artists’ branding, and experiential consumption. (shrink)

Credit risk, also known as default risk, is the likelihood of a corporation losing money if a business partner defaults. If the liabilities are not met under the terms of the contract, the firm may default, resulting in the loss of the company. There is no clear way to distinguish between organizations that will default and those that will not prior to default. We can only make probabilistic estimations of the risk of default at best. There are two types of (...) credit risk default models in this regard: structural and reduced form models. Structural models are used to calculate the likelihood of a company defaulting based on its assets and liabilities. If the market worth of a company's assets is less than the debt it owes, it will default. Reduced form models often assume an external cause of default, such as a Poisson jump process, which is driven by a stochastic process. They model default as a random event with no regard for the balance sheet of the company. This paper provides a Review of credit risk default models. (shrink)

Despite Lyotard’s proclaimed end of metanarratives in a post-modern predicament, metanarratives appear to be making a comeback. This is the case for antinatalism, a relatively recent ideological formation or moral philosophical perspective that has spawned a new social movement with an active presence in social media. The organizational and structural aspects of NSMs render them amenable to being labeled as ‘post-modern’. In this context, the emergence of ideologies as moral philosophies, such as antinatalism, loom like an outsider, or like a (...) retro fissure in a plastic canvass. The reason is that antinatalism shares the holistic, fundamentalist and totalizing discursive traits of modernist metanarratives that were heralded by Lyotard (1984) as being outmoded in a post-modern condition. Yet, this metanarrative is also different in fundamental aspects from traditional metanarratives. These aspects pertain to its rhetorical self-reflexivity and to its pre-occupation with rooting the propounded arguments in empirical particulars, rather than in a metaphysical or transcendentalist realm. This new form of metanarrative I call metametanarrative as it constitutes a philosophical regression, so to speak, in a pre post-modernist cultural milieu. (shrink)

Critical reflections on Franklin Perkins' Doing What You Really Want: An Introduction to the Philosophy of Mengzi. Raises some questions related to two main themes in the book: (1) Mengzi’s conception of human nature, and (2) Mengzi’s view of harmony and conflict in human life.

Reber and Alcock have recently made a sharp attack on the entire psi literature, and in particular a recent overview by Cardeña of the meta-analyses across various categories of psi. They claim the data are inherently fl awed because of their disconnect with our current understanding of the world. As a result, they ignore the data and identify key scientific principles that they argue clash with psi. In this Commentary, I argue that these key principles are diffi cult to apply (...) in areas where our understanding remains poor, especially quantum mechanics and consciousness. I also explore how the psi data may fi t within these two domains. (shrink)

Why does scholarship on transnational labor regulation (TLR) consistently fails to search for improvements in working conditions, and instead devotes itself to relentless efforts for identifying administrative processes, semantics, and amalgamations of stakeholders? This article critiques TLR from a pro-worker perspective, through the philosophical work of Georg Lukács, and the concepts of reification and commodification. A set of theoretically grounded criteria is developed and these are applied against selected contemporary cases of TLR. In the totality that is capitalism, reification (...) of social relations of production conceals completely the experiences of workers. In TLR, managerialist and process-oriented scholarship is dominant, verifiable outcomes and positive improvements in conditions of employment are not sought, and worse, meaningless procedures are celebrated as positive achievements. (shrink)