Crupi et al. propose a generalization of Bayesian confirmation theory that they claim to adequately deal with confirmation by uncertain evidence. Consider a series of points of time t0, . . . , ti, . . . , tn such that the agent’s subjective probability for an atomic proposition E changes from Pr0 at t0 to . . . to Pri at ti to . . . to Prn at tn. It is understood that the agent’s subjective probabilities change (...) for E and no logically stronger proposition, and that the agent updates her subjective probabilities by Jeffrey conditionalization. For this specific scenario the authors propose to take the difference between Pr0 and Pri as the degree to which E confirms H for the agent at time ti , C0,i. This proposal is claimed to be adequate, because. (shrink)

This paper investigates the logic of reasons. Its aim is to provide an analysis of the sentences of the form ‘p is a reason for q’ that yields a coherent account of their logical properties. The idea that we will develop is that ‘p is a reason for q’ is acceptable just in case a suitably defined relation of incompatibility obtains between p and ¬q. As we will suggest, a theory of reasons based on this idea can solve three challenging (...) puzzles that concern, respectively, contraposing reasons, conflicting reasons, and supererogatory reasons, and opens a new perspective on some classical issues concerning non-deductive inferences. (shrink)

This paper develops a probabilistic analysis of conditionals which hinges on a quantitative measure of evidential support. In order to spell out the interpreta- tion of ‘if’ suggested, we will compare it with two more familiar interpretations, the suppositional interpretation and the strict interpretation, within a formal framework which rests on fairly uncontroversial assumptions. As it will emerge, each of the three interpretations considered exhibits specific logical features that deserve separate consideration.

This paper outlines an account of conditionals, the evidential account, which rests on the idea that a conditional is true just in case its antecedent supports its consequent. As we will show, the evidential account exhibits some distinctive logical features that deserve careful consideration. On the one hand, it departs from the material reading of ‘if then’ exactly in the way we would like it to depart from that reading. On the other, it significantly differs from the non-material accounts which (...) hinge on the Ramsey Test, advocated by Adams, Stalnaker, Lewis, and others. (shrink)

According to the view of conditionals named 'inferentialism', a conditional holds when its consequent can be inferred from its antecedent. This paper identifies some major challenges that inferentialism has to face, and uses them to assess three accounts of conditionals: one is the classical strict account, the other two have recently been proposed by Douven and Rott. As will be shown, none of the three proposals meets all challenges in a fully satisfactory way. We argue through novel formal results that (...) a variation of the evidential account of conditionals suggested by Crupi and Iacona is the most promising candidate to develop inferentialism in a coherent formal framework. (shrink)

In this paper, we show (among other things) that the conditional in Frege's Begriffsschrift is ambiguous.

This paper outlines an account of concessive conditionals that rests on two main ideas. One is that the logical form of a sentence as used in a given context is determined by the content expressed by the sentence in that context. The other is that a coherent distinction can be drawn between a reading of ‘if’ according to which a conditional is true when its consequent holds on the supposition that its antecedent holds, and a stronger reading according to which (...) a conditional is true when its antecedent supports its consequent. As we will suggest, the logical form of concessive conditionals can be elucidated by relying on this distinction. (shrink)

Once upon a time, some thought that indicative conditionals could be effectively analyzed as material conditionals. Later on, an alternative theoretical construct has prevailed and received wide acceptance, namely, the conditional probability of the consequent given the antecedent. Partly following critical remarks recently ap- peared in the literature, we suggest that evidential support—rather than conditional probability alone—is key to understand indicative conditionals. There have been motivated concerns that a theory of evidential conditionals (unlike their more tra- ditional counterparts) cannot generate (...) a sufficiently interesting logical system. Here, we will describe results dispelling these worries. Happily, and perhaps surprisingly, appropriate technical variations of Ernst Adams’s classical approach allow for the construction of a logic of evidential conditionals with distinctive fea- tures, which is also well-behaved and reasonably strong. (shrink)

In some recent works, Crupi and Iacona have outlined an analysis of ‘if’ based on Chrysippus’ idea that a conditional holds whenever the negation of its consequent is incompatible with its antecedent. This paper presents a sound and complete system of conditional logic that accommodates their analysis. The soundness and completeness proofs that will be provided rely on a general method elaborated by Raidl, which applies to a wide range of systems of conditional logic.

Fabric plays a key role in modern society, used widely in fashion and home decor. Different fabrics, including synthetics like polyester, have unique properties that determine their applications. Stains, caused by foreign substances, are categorized into four types: enzymatic, oxidizable, greasy, and particulate. Stain removal often involves chemical-based products, which can be harmful. This study shows that Lemon Peel Extract (Citrus Limon L.) can remove oxidizable and particulate stains. With titrimetric and colorimetric analysis, it was found that 54.83% of particulate (...) and 54.14% of oxidizable stains were removed. Promoting natural alternatives like lemon peel extract helps reduce harmful chemicals, supporting a healthier and more sustainable lifestyle. (shrink)

Many of those working on moral responsibility assume that "once blameworthy, always blameworthy." They believe that blameworthiness is like diamonds: it is forever. We argue that blameworthiness is not forever; rather, it can diminish through time. We begin by showing that the view that blameworthiness is forever is best understood as the claim that personal identity is sufficient for diachronic blameworthiness. We argue that this view should be rejected because it entails that blameworthiness for past action is completely divorced from (...) the distinctive psychological features of the person at the later time. This is because on none of the leading accounts of personal identity does identity require the preservation of any distinctive psychological features, but merely requires some form of continuity. The claim that blameworthiness is forever should therefore be rejected. We then sketch an account of blameworthiness over time, and consider two objections. (shrink)

Nghiên cứu nhằm khám phá mối quan hệ giữa phong cách lãnh đạo (chuyển đổi và chuyển giao) với sự gắn kết nhân viên thông qua phương pháp nghiên cứu định tính. Thay vì sử dụng bảng hỏi và phân tích thống kê, nghiên cứu này dựa trên phân tích nội dung phỏng vấn sâu và quan sát tham gia. Kết quả nghiên cứu chỉ ra rằng, lãnh đạo chuyển đổi đóng vai trò quan trọng hơn trong việc thúc đẩy (...) gắn kết nhân viên so với lãnh đạo chuyển giao. Kết quả này gợi mở hướng đến việc kết hợp các phong cách lãnh đạo để tối ưu hóa gắn kết nhân viên. (shrink)

This study explores the impact of regional comprehensive factors on talent acquisition using the ASA (Attraction-Selection-Attrition) theory within the context of the automotive industry, employing a structural equation modeling approach. Analyzing data from 308 respondents, the study identifies significant relationships between regional development pole, industry agglomeration, and regional incentives with various dimensions of talent acquisition, including attraction, selection, and retention. The findings reveal that regional development pole and incentives positively influence talent management processes, whereas industry agglomeration has a detrimental effect. (...) These insights are essential for formulating strategies to enhance talent acquisition and retention in the automotive industry by leveraging regional development and incentive mechanisms while addressing the challenges posed by industrial agglomeration. (shrink)

There is a New Idea in epistemology. It goes by the name of ‘knowledge first,’ and it is particularly associated with Timothy Williamson’s book Knowledge and Its Limits. In slogan form, to put knowledge first is to treat knowledge as basic or fundamental, and to explain other states—belief, justification, maybe even content itself—in terms of knowledge, instead of vice versa. The idea has proven enormously interesting, and equally controversial. But deep foundational questions about its actual content remain relatively unexplored. We (...) think that a wide variety of views travel under the banner of ‘knowledge first’ (and that the slogan doesn’t help much with differentiating them). Furthermore, we think it is far from straightforward to draw connections between certain of these views; they are more independent than they are often assumed to be. Our project here is exploratory and clarificatory. We mean to tease apart various ‘knowledge first’ claims, and explore what connections they do or do not have with one another. Our taxonomy is offered in §2, and connections are explored in §3. The result, we hope, will be a clearer understanding of just what the knowledge first theses are. We conclude, in §4, with some brief suggestions as to how we think the various theses might be evaluated. (shrink)

Government’s use of imprisonment raises distinctive moral issues. Even if government has broad authority to make and to enforce law, government may not be entitled to use imprisonment as a punishment for all the criminal laws it is entitled to make. Indeed, there may be some serious crimes that it is wrong to punish with imprisonment, even if the conditions of imprisonment are humane and even if no adequate alternative punishments are available.

According to the analysis of concessive conditionals suggested by Crupi and Iacona, a concessive conditional $$p{{\,\mathrm{\hookrightarrow }\,}}q$$ p ↪ q is adequately formalized as a conjunction of conditionals. This paper presents a sound and complete axiomatic system for concessive conditionals so understood. The soundness and completeness proofs that will be provided rely on a method that has been employed by Raidl, Iacona, and Crupi to prove the soundness and completeness of an analogous system for evidential conditionals.

The New Evil Demon Problem is supposed to show that straightforward versions of reliabilism are false: reliability is not necessary for justification after all. I argue that it does no such thing. The reliabilist can count a number of beliefs as justified even in demon worlds, others as unjustified but having positive epistemic status nonetheless. The remaining beliefs---primarily perceptual beliefs---are not, on further reflection, intuitively justified after all. The reliabilist is right to count these beliefs as unjustified in demon worlds, (...) and it is a challenge for the internalist to be able to do so as well. (shrink)

In common with traditional forms of epistemic internalism, epistemological disjunctivism attempts to incorporate an awareness condition on justification. Unlike traditional forms of internalism, however, epistemological disjunctivism rejects the so-called New Evil Genius thesis. In so far as epistemological disjunctivism rejects the New Evil Genius thesis, it is revisionary. -/- After explaining what epistemological disjunctivism is, and how it relates to traditional forms of epistemic internalism / externalism, I shall argue that the epistemological disjunctivist’s account of the intuitions underlying the New (...) Evil Genius thought experiment is at best incomplete. As presented, therefore, epistemological disjunctivism is unable to accommodate the core guiding intuitions of epistemic internalism. Given the stated aim of not being revisionary on this score, the view is at a dialectical disadvantage over the traditional forms of epistemic internalism the position is meant to replace. Unfortunately, therefore, at present, the impasse between internalism and externalism remains. (shrink)

This chapter will review selected aspects of the terrain of discussions about probabilities in statistical mechanics (with no pretensions to exhaustiveness, though the major issues will be touched upon), and will argue for a number of claims. None of the claims to be defended is entirely original, but all deserve emphasis. The first, and least controversial, is that probabilistic notions are needed to make sense of statistical mechanics. The reason for this is the same reason that convinced Maxwell, Gibbs, and (...) Boltzmann that probabilities would be needed, namely, that the second law of thermodynamics, which in its original formulation says that certain processes are impossible, must, on the kinetic theory, be replaced by a weaker formulation according to which what the original version deems impossible is merely improbable. Second is that we ought not take the standard measures invoked in equilibrium statistical mechanics as giving, in any sense, the correct probabilities about microstates of the system. We can settle for a much weaker claim: that the probabilities for outcomes of experiments yielded by the standard distributions are effectively the same as those yielded by any distribution that we should take as a representing probabilities over microstates. Lastly, (and most controversially): in asking about the status of probabilities in statistical mechanics, the familiar dichotomy between epistemic probabilities (credences, or degrees of belief) and ontic (physical) probabilities is insufficient; the concept of probability that is best suited to the needs of statistical mechanics is one that combines epistemic and physical considerations. (shrink)

Neutral monism is a position in metaphysics defended by Mach, James, and Russell in the early twentieth century. It holds that minds and physical objects are essentially two different orderings of the same underlying neutral elements of nature. This paper sets out some of the central concepts, theses and the historical background of ideas that inform this doctrine of elements. The discussion begins with the classic neutral monism of Mach, James, and Russell in the first part of the paper, then (...) considers recent neo-Russellian versions in the second half. The chances for a revival of neutral monism are probably slight; its key ideas and starting points lie far from those in contemporary philosophy of mind. A better route might be through the philosophy of science and a deeper understanding of causation. (shrink)

“Critical-Rationalist Libertarianism” (CRL) was replied to in “Libertarianism Without Argument” (the reply). Various points in that text are here given responses. Both critical rationalism and how it applies to libertarianism are elucidated and elaborated. This response will proceed by quoting the reply where relevant (virtually all of it) and then responding immediately after the quotations, following the order of the reply’s very brief “critique” (605 words).

In this introduction, before summarizing the contents of the volume, the authors characterize materialism as it is understood within the philosophy of mind, and they identify three respects in which materialism is on the wane.

Intersectionality has become the primary analytic tool that feminist and anti-racist scholars deploy for theorizing identity and oppression. This paper exposes and critically interrogates the assumptions underpinning intersectionality by focusing on four tensions within intersectionality scholarship: the lack of a defined intersectional methodology; the use of black women as quintessential intersectional subjects; the vague definition of intersectionality; and the empirical validity of intersectionality. Ultimately, my project does not seek to undermine intersectionality; instead, I encourage both feminist and anti-racist scholars to (...) grapple with intersectionality's theoretical, political, and methodological murkiness to construct a more complex way of theorizing identity and oppression. (shrink)

We lay out the fatalist’s argument, making sure to clarify which dialectical moves are available to the libertarian. We then offer a more robust presentation of Ockhamism, responding to obvious objections and teasing out the implications of the view. At this point, we discuss presentism and eternalism in more detail. We then present our argument for the claim that the libertarian cannot take Ockham’s way out of the fatalism argument unless she rejects presentism. Finally, we consider and dispense with objections (...) to our argument. In the end, it ought to be clear that the libertarian must make a choice between Ockham’s way out and presentism. (shrink)

Skipper and Millstein analyze natural selection and mechanism, concluding that natural selection is not a mechanism in the sense of the new mechanistic philosophy. Barros disagrees and provides his own account of natural selection as a mechanism. This discussion identifies a missing piece of Barros's account, attempts to fill in that piece, and reconsiders the revised account. Two principal objections are developed: one, the account does not characterize natural selection; two, the account is not mechanistic. Extensive and persistent variability causes (...) both of these difficulties, so further attempts to describe natural selection as a mechanism are also unlikely to succeed. (shrink)

The link between human nature and human flourishing is undeniable. "A healthy tree cannot bear bad fruit, nor can a diseased tree bear good fruit" (Matt. 7:18). The ontology of the human person will, therefore, ground the nature of human flourishing and thereby sanctification. Spiritual formation is the area of Christian theology that studies sanctification, the Spirit-guided process whereby disciples of Jesus are formed into the image of Jesus (Rom. 8:28-29; 2 Cor. 3:18; 2 Peter 3:18). Until the nineteenth century, (...) there was an overwhelming consensus among Christian thinkers that some form of mind-body (or soul-body) dualism is true of human beings. Recently, that consensus has eroded, and with it the availability of a shared body of knowledge about spiritual formation. Some Christian physicalists argue that dualism is incompatible with central elements of spiritual formation. Neuroscientist Warren Brown and psychologist Brad Strawn offer the only substantive account of spiritual formation from the view of Christian physicalism and its accompanying objections to dualism. It is on their arguments that this chapter focuses. We argue that Brown and Strawn fail to support their incompatibility thesis. Additionally, we argue that Christian physicalism stands in tension with important philosophical and theological foundations of Christian spiritual formation. In doing so we offer a specific form of dualism, the bodily soul view, and explain how this view illuminates the importance of embodiment, our neurological and social development, and hence the important physical aspects of Christian spiritual formation. (shrink)

We rely on language to know the minds of others, but does language have a role to play in knowing our own minds? To suppose it does is to look for a connection between mastery of a language and the epistemic relation we bear to our inner lives. What could such a connection consist in? To explore this, I shall examine strategies for explaining self-knowledge in terms of the use we make of language to express and report our mental states. (...) Success in these strategies will depend on the view we take of speakers' understanding of the words they use to speak their minds. The key is to avoid circularity in the account of how they know what they mean; for if knowing what one is saying in speaking a language provides a means of knowing one's own mind, it cannot simply be a part of it. I shall look at ways in which we might proceed here, and examine whether the strategy can make room for a genuinely first-person point of view. But first let me try to motivate the problem of self-knowledge. (shrink)

The background to this paper is that in our world of massively increasing personal digital data any control over the data about me seems illusionary – informational privacy seems a lost cause. On the other hand, the production of this digital data seems a necessary component of our present life in the industrialized world. A framework for a resolution of this apparent dilemma is provided if by the distinction between (meaningless) data and (meaningful) information. I argue that computational data processing (...) is necessary for many present-day processes and not a breach of privacy, while collection and processing of private information is often not necessary and a breach of privacy. The problem and the sketch of its solution are illustrated in a case-study: supermarket customer cards. (shrink)

Current challenges in medical practice, research, and administration demand physicians who are familiar with bioethics, health law, and health economics. Curriculum directors at American Association of Medical Colleges-affiliated medical schools were sent confidential surveys requesting the number of required hours of the above subjects and the years in which they were taught, as well as instructor names. The number of relevant publications since 1990 for each named instructor was assessed by a PubMed search.In sum, teaching in all three subjects combined (...) comprises less than two percent of the total hours in the American medical curriculum, and most instructors have not recently published articles in the fields they teach. This suggests that medical schools should reevaluate their curricula and instructors in bioethics, health law, and health economics. (shrink)

We provide a 'verisimilitudinarian' analysis of the well-known Linda paradox or conjunction fallacy, i.e., the fact that most people judge the probability of the conjunctive statement "Linda is a bank teller and is active in the feminist movement" (B & F) as more probable than the isolated statement "Linda is a bank teller" (B), contrary to an uncontroversial principle of probability theory. The basic idea is that experimental participants may judge B & F a better hypothesis about Linda as compared (...) to B because they evaluate B & F as more verisimilar than B. In fact, the hypothesis "feminist bank teller", while less likely to be true than "bank teller", may well be a better approximation to the truth about Linda. (shrink)

This paper proposes to reconstruct Boaventura de Sousa Santos' conception of "epistemologies of the south" both (a) as a critical theory aiming at denouncing the impoverishment of the epistemic field entailed by the normative imposition of a certain model of knowledge (what we call "the monoculture of reason"), and (b) as a long-term political project of a harmonic coexistence of different epistemologies ("an ecology of knowledges").

This paper will compare the concept of nature as it appears in the philosophies of the American pragmatist John Dewey and the Chinese text known as the Zhuangzi, with an aim towards mapping out a heuristic program which might be used to correct various interpretive difficulties in reading each figure. I shall argue that Dewey and Zhuangzi both held more complex and comprehensive philosophies of nature than for which either is typically credited. Such a view of nature turns on the (...) notion of continuity, particularly that between an experiencing organism [Dewey’s “live creature”] and the conditioning environment [Zhuangzi’s “crooked tree”]. Where Dewey’s and Zhuangzi’s ideas about nature converge, one finds similarities in prescriptions made for human action, and in the few places where they differ, one finds mutually complementary insights. (shrink)

The impossibility of an indeterministic evolution for standard relativistic quantum field theories, that is, theories in which all fields satisfy the condition that the generators of space-time translation have spectra in the forward light-cone, is demonstrated. The demonstration proceeds by arguing that a relativistically invariant theory must have a stable vacuum and then showing that stability of the vacuum, together with the requirements imposed by relativistic causality, entails deterministic evolution, if all degrees of freedom are standard degrees of freedom.

The “free world” was the political rhetoric used during the Cold War in contrast to the “communist” countries. However, the “free world” was manifestly never free: the state considerably interfered with people in their persons and their property. And the “communist” countries were manifestly never communist in the Marxist sense: there was no common ownership of the means of production with the absence of social classes, money, and the state. It would have been more accurate to call them the “authoritarian (...) world” and the “totalitarian world”. Today the “free world” is sometimes still used, but Western countries remain authoritarian in terms of taxation and restrictive legislation. The, by implication, “unfree world” is largely only somewhat more authoritarian. Why does this continuing authoritarianism exist in the West? (shrink)

The aim of this article is to advance the idea according to which the Cartesian Cogito, the ground of modern philosophy and the source of the notion of thinking subject, is tributary of a certain method whose legitimation is grounded in western history. According to this hypothesis, there is a certain tool that plays a fundamental role in the production of this new philosophical notion: the dream. The argument will be developed in four parts. We will first proceed to (i) (...) an analysis of the role of the hypothesis of the dream in the formulation of the notion of res cogitans, what will bring us to (ii) an exploration of the conception of private world supposed by such a hypothesis so as to (iii) clarify the specificity of the Cartesian notion of knowledge, a knowledge that must be acquirable in a dream; in conclusion (iv) we will indicate in a schematic way the historic-cultural anchor of the Cartesian dream where the subject is originated. (shrink)

Certain commentators on Russell's “no class” theory, in which apparent reference to classes or sets is eliminated using higher-order quantification, including W. V. Quine and (recently) Scott Soames, have doubted its success, noting the obscurity of Russell’s understanding of so-called “propositional functions”. These critics allege that realist readings of propositional functions fail to avoid commitment to classes or sets (or something equally problematic), and that nominalist readings fail to meet the demands placed on classes by mathematics. I show that Russell (...) did thoroughly explore these issues, and had good reasons for rejecting accounts of propositional functions as extra-linguistic entities. I argue in favor of a reading taking propositional functions to be nothing over and above open formulas which addresses many such worries, and in particular, does not interpret Russell as reducing classes to language. (shrink)

This article advances the hypothesis that the Fichtean enterprise of grounding all possible experience in a fundamental principle has to fail in order to succeed one of its most important tasks: reformulating the very idea of subjectivity. In order to ground this hypothesis, the paper will be divided in four parts: (i) the first one will analyze the starting point of the work where Fichte lays the foundations of his philosophical project (Grundlage der gesamten Wissenschaftslehre) so as to show that (...) its first principle contains a fundamental ambiguity. We will then (ii) suggest that this very ambiguity reveals itself in the Anstoß, the conceptual tool through which Fichte intends to get rid of the Kantian notion of thing-in- itself. In a third moment (iii), we will explore the effects of this abandonment of the thing-in-itself on the relation between the finite and the infinite, what will bring us to the notion of failure. Finally (iv), we will propose to interpret this failure as a positive driving force of a permanent calling into question of the subject and its language. (shrink)

This paper explores the contrast between two meanings of thinking: (i) one implied by the Cartesian and Kantian philosophy, the two thinkers that have arguably the deepest influence on the constellation of Western philosophical problems and (ii) another implied by the philosophical-anthropological project of the Brazilian anthropologist Eduardo Viveiros de Castro. The thesis here defended is that, in the Cartesian and Kantian philosophy, thinking is related to ruling and legislating over the experience through concepts, while in Viveiros de Castros' theoretical (...) enterprise, thinking is rather to explore the limits of conceptual constructions when confronted with the experience of alterity. (shrink)

The Linda paradox is a key topic in current debates on the rationality of human reasoning and its limitations. We present a novel analysis of this paradox, based on the notion of verisimilitude as studied in the philosophy of science. The comparison with an alternative analysis based on probabilistic confirmation suggests how to overcome some problems of our account by introducing an adequately defined notion of verisimilitudinarian confirmation.

Ordinary reasoning about space—we argue—is first and foremost reasoning about things or events located in space. Accordingly, any theory concerned with the construction of a general model of our spatial competence must be grounded on a general account of the sort of entities that may enter into the scope of the theory. Moreover, on the methodological side the emphasis on spatial entities (as opposed to purely geometrical items such as points or regions) calls for a reexamination of the conceptual categories (...) required for this task. Building on material presented in an earlier paper, in this work we offer some examples of what this amounts to, of the difficulties involved, and of the main directions along which spatial theories should be developed so as to combine formal sophistication with some affinity with common sense. (shrink)

Sequel to Part I. In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions and equivalence classes of coextensional properties. Part II addresses Russell’s own various attempts to solve these paradoxes, (...) including strategies that he considered and rejected (limitation of size, the zigzag theory, etc.), as well as his own final views whereupon many purported entities that, if reified, lead to these contradictions, must not be genuine entities, but ‘logical fictions’ or ‘logical constructions’ instead. (shrink)

Attempts to evaluate a belief or argument on the basis of its cause or origin are usually condemned as committing the genetic fallacy. However, I sketch a number of cases in which causal or historical factors are logically relevant to evaluating a belief, including an interesting abductive form that reasons from the best explanation for the existence of a belief to its likely truth. Such arguments are also susceptible to refutation by genetic reasoning that may come very close to the (...) standard examples given of supposedly fallacious genetic reasoning. (shrink)

Extension is probably the most general natural property. Is it a fundamental property? Leibniz claimed the answer was no, and that the structureless intuition of extension concealed more fundamental properties and relations. This paper follows Leibniz's program through Herbart and Riemann to Grassmann and uses Grassmann's algebra of points to build up levels of extensions algebraically. Finally, the connection between extension and measurement is considered.

In these articles, I describe Cantor’s power-class theorem, as well as a number of logical and philosophical paradoxes that stem from it, many of which were discovered or considered (implicitly or explicitly) in Bertrand Russell’s work. These include Russell’s paradox of the class of all classes not members of themselves, as well as others involving properties, propositions, descriptive senses, class-intensions, and equivalence classes of coextensional properties. Part I focuses on Cantor’s theorem, its proof, how it can be used to manufacture (...) paradoxes, Frege’s diagnosis of the core difficulty, and several broad categories of strategies for offering solutions to these paradoxes. (shrink)

The paper presents a paradoxical feature of computational systems that suggests that computationalism cannot explain symbol grounding. If the mind is a digital computer, as computationalism claims, then it can be computing either over meaningful symbols or over meaningless symbols. If it is computing over meaningful symbols its functioning presupposes the existence of meaningful symbols in the system, i.e. it implies semantic nativism. If the mind is computing over meaningless symbols, no intentional cognitive processes are available prior to symbol grounding. (...) In this case, no symbol grounding could take place since any grounding presupposes intentional cognitive processes. So, whether computing in the mind is over meaningless or over meaningful symbols, computationalism implies semantic nativism. (shrink)

This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are specified such (...) that they do not have output states, or they are specified such that they do have output states, but involve contradiction. Repairs though non-effective methods or special rules for semi-decidable problems are sought, but not found. The paper concludes that hypercomputing supertasks are impossible in the actual world and thus no reason for rejection of the Church-Turing thesis in its traditional interpretation. (shrink)

Warning: includes two somewhat graphic images. This paper is an effort to lay out a taxomony of conceptual relations between the domains of the sublime and the religious. -/- .