An interview with Ed Casey where we discuss the intersections of his philosophical work with current political issues, including the Israel-Palestine conflict.

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)

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)

Abstract: In Vacco v. Quill, 521 U.S. 793 (1997), the Supreme Court for the first time in American case law explicitly applied the principle of double effect to reject an equal protection claim to physician-assisted suicide. Double effect, traced historically to Thomas Aquinas, proposes that under certain circumstances it is permissible unintentionally to cause foreseen evil effects that would not be permissible to cause intentionally. The court rejected the constitutional claim on the basis of a distinction marked out by the (...) principle, i.e., between directly intending the death of a terminally ill patient as opposed to merely foreseeing that death as a consequence of medical treatment. The Court held that the distinction comports with fundamental legal principles of causation and intent. Id. at 802. -/- Critics allege that the principle itself is intrinsically flawed and that, in any event, its employment in Vacco is without legal precedent. I argue in response to contemporary objections that double effect is a valid principle of ethical reflection (Part II); claims to the contrary notwithstanding, double effect analysis is a pervasive, albeit generally unacknowledged principle employed regularly in American case law (Part III); and drawing on the preceding two sections, Vacco's application of the principle of double effect is appropriate (Part IV). -/- My conclusion is that [o]peration of some form of the principle, by whatever name, is inevitable. In an imperfect world where duties and interests collide, the possibility of choices of action foreseen to have both good and evil consequences cannot be avoided. In rare circumstances, ethics and the law require that a person refrain from acting altogether. More often, however, they provide that a determination of whether an actor may pursue a good effect although knowing it will or may unintentionally cause an harmful effect requires a more complex analysis - a double effect analysis. -/- Keywords: Equal protection, double effect, intention, physician-assisted suicide, Constitutional Law, Bioethics. (shrink)

This paper identifies three positions on the relationship between language and experience, the third of which I was not acquainted with before from my reading. It seems absurd.

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)

Moral naturalists are often said to have trouble making sense of inter-communal moral disagreements. The culprit is typically thought to be the naturalist’s metasemantics and its implications for sameness of meaning across communities. The most familiar incarnation of this metasemantic challenge is the Moral Twin Earth argument. We address the challenge from the perspective of analytic naturalism, and argue that making sense of inter-communal moral disagreement creates no special issues for this view.

Jeanette Edwards observes a pattern of questions of the form “Why do anthropology fieldwork in location X?” - she only hears the question posed of some places - and she explains this pattern by saying that some places are taken to be obviously legitimate for anthropology fieldwork whereas others are not. I draw distinctions between legitimate and illegitimate, obviously legitimate and not obviously legitimate, and better and worse. The distinctions lead to a different explanation.

Imprecise probabilities are often modelled with representors, or sets of probability functions. In the recent literature, two ways of interpreting representors have emerged as especially prominent: vagueness interpretations, according to which each probability function in the set represents how the agent's beliefs would be if any vagueness were precisified away; and comparativist interpretations, according to which the set represents those comparative confidence relations that are common to all probability functions therein. I argue that these interpretations have some important limitations. I (...) also propose an alternative—the functional interpretation—according to which representors are best interpreted by reference to the roles they play in the theories that make use of them. (shrink)

This document gathers together, in summary form, objections scattered across many papers and multiple online databases. Nevertheless, it omits some objections, notably complicated ones.

This article investigates the problem of the identity of the parts of space in Newton’s natural philosophy, as well as the holistic or structuralist nature of Newton’s ontology of space. Additionally, this article relates the lessons reached in this historical and philosophical investigation to analogous debates in contemporary space-time ontology. While previous contributions, by Nerlich, Huggett, and others, have proven to be informative in evaluating Newton’s claims, it will be argued that the underlying goals of Newton’s views have largely eluded (...) prior analysis and that Newton’s approach is similar, and lends support, to several current structuralist trends in the conception of space-time ontology. (shrink)

Is autonomy – governing yourself – compatible with letting yourself be governed by trust? This paper argues that autonomy is not only compatible with appropriate trust but actually requires it. Autonomy requires appropriate trust because it is undermined by inappropriate mistrust. An autonomous agent treats herself as answerable for her action-guiding commitments, where answerability requires openness to the rational influence of external, critical perspectives on those commitments. This openness to correction makes one vulnerable to manipulation and can be exploited in (...) ways that undermine autonomy instead of supporting it. We argue that autonomy is undermined by inappropriate trust, and that the inappropriateness lies in the agent’s failure to manifest appropriate responsiveness to evidence of untrustworthiness in the one trusted. The problem isn’t that autonomy requires dispensing with trust but that trust must itself be governed by appropriate responsiveness to evidence of untrustworthiness. Our view confronts two challenges. One challenge lies in explaining why you shouldn’t treat your vulnerability to manipulation as a general reason to let your trusting disposition lapse into an untrusting one. We argue that there is no such general reason to let your responsiveness to evidence of untrustworthiness be supplanted by a suspicious disposition to seek and require positive evidence of trustworthiness. A second, and deeper, challenge arises from the fact that in some especially sophisticated cases of manipulation there is no evidence of untrustworthiness to which you could respond. We argue that you cannot rationally cope with even this unresolvable risk of exploited trust by trusting only yourself. (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)

This essay presents an alternative to contemporary substantivalist and relationist interpretations of quantum gravity hypotheses by means of an historical comparison with the ontology of space in the seventeenth century. Utilizing differences in the spatial geometry between the foundational theory and the theory derived from the foundational, in conjunction with nominalism and platonism, it will be argued that there are crucial similarities between seventeenth century and contemporary theories of space, and that these similarities reveal a host of underlying conceptual issues (...) that the substantival/relational dichotomy fails to distinguish. (shrink)

This essay examines the metaphysical foundation of Leibniz’s theory of space against the backdrop of the subtantivalism/relationism debate and at the ontological level of material bodies and properties. As will be demonstrated, the details of Leibniz’ theory defy a straightforward categorization employing the standard relationism often attributed to his views. Rather, a more careful analysis of his metaphysical doctrines related to bodies and space will reveal the importance of a host of concepts, such as the foundational role of God, the (...) holism of both geometry and the material world’s interconnections, and the viability and adequacy of a property theory in characterizing his natural philosophy of space. (shrink)

In this article, responding to assertions that the principle of double effect has no place in legal analysis, I explore the overlap between double effect and negligence analysis. In both, questions of culpability arise in situations where a person acts with no intent to cause harm but where reasonable foreseeability of unintended harm exists. Under both analyses, the determination of whether such conduct is permissible involves a reasonability test that balances that foreseeable harm against the good intended by the actor's (...) conduct. In both, absent a finding that the foreseeable harm is unreasonable in light of that intended good, no liability will be imposed upon the actor. Even conceding, however, such general similarity between double effect and negligence analysis - disagreement over the proper interpretation of the reasonability criterion at play in negligence poses an additional challenge for the attempt to correlate negligence with double effect. Economic efficiency interpretations of negligence, for example, purportedly based on the Learned Hand Formula and the RESTATEMENT (SECOND) OF THE LAW OF TORTS, propose that culpability depends upon a utilitarian balancing of good effects of conduct (utility) versus its harmful foreseeable consequences (magnitude of risk of injury). Based on such an interpretation of negligence, however, contrasts between actors' states of mind, and normative differences between kinds of goods and harms, ultimately fade into the background and become irrelevant as essential conditions for properly assessing liability. This article elaborates and defends the view that double effect analysis lies at the heart of negligence theory. Part I elucidates in more detail the principle of double effect and describes its prima facie operation in negligence analysis. Part II considers and rejects the economic efficiency interpretation that has been offered as a theory of negligence, overcoming the challenge that such an interpretation presents for the effort to locate double effect analysis in the law. Part III illustrates and confirms the overlap between double effect and negligence by consideration of a series of case applications. The Article proposes that the weighing of conflicting values in double effect analysis and negligence is not achieved - as proposed by law and economics theory with respect to negligence - by imposing a consequentialist-utilitarian reduction of all value to a single concept of good and eliminating the relevance of traditional state of mind distinctions between intention and foreseeability. Instead, each mode of analysis recognizes that distinct culpability determinations flow naturally and plausibly from an appreciation of the traditional legal distinctions made between various types of goods and harms, and upon whether such goods and harms come about as result of an actor's intention or mere foreseeability. Keywords: Double effect, negligence, intention, foreseeability, choice, law and economics, utilitarianism, consequentialism, weighing of values. (shrink)

An assurance theory of trust begins from the act of assurance – whether testimonial, advisorial or promissory – and explains trust as a cognate stance of resting assured. My version emphasizes the risks and rewards of trust. On trust’s rewards, I show how an assurance can give a reason to the addressee through a twofold exercise of ‘normative powers’: (i) the speaker thereby incurs an obligation to be sincere; (ii) if the speaker is trustworthy, she thereby gives her addressee the (...) reason. Each claim is controversial; my contribution lies in how I defend them together, linking the sincerity obligation to the provision of reasons. On trust’s risks, I defend a popular thesis about the nature of trust – that trust differs from mere reliance in how it risks betrayal – against the objection that the thesis ‘moralizes’ trust. Such betrayal need not be moral, I argue, because it may derive entirely from how the assurance purports to provide a reason. (shrink)

In this paper I make some distinctions, which I hope are of help for Laura Valentini and others. Are the recommendations of a theory of what the government should do possible and are they feasible? Is the project of the theorist possibility-sensitive and is the project feasibility-sensitive?

In his Edifying Discourses, Soren Kierkegaard published a sermon entitled ‘The Unchangeableness of God’ in which he reiterated the dogma which dominated Catholic, Protestant and even Jewish expressions of classical supernaturalist theology from the first century A.D. until the advent of process theology in the twentieth century. The dogma that as a perfect being, God must be totally unchanging in every conceivable respect was expressed by Kierkegaard in such ways as: He changes all, Himself unchanged. When everything seems stable and (...) in the overturn of all things, He remains equally unchanged; no change touches Him, not even the shadow of a change; in unaltered clearness He, the father of lights, remained eternally unchanged. 1. (shrink)

Although it makes some progress, McKay & Dennett's (M&D's) proposal is limited because (1) the argument for adaptive misbelief is not new, (2) arguments overextend the evidence provided, and (3) the alleged sufficient conditions are not as prohibitive as suggested. We offer alternative perspectives and evidence, including individual differences research, indicating that adaptive misbeliefs are likely much more widespread than implied.

According to comparativism, degrees of belief are reducible to a system of purely ordinal comparisons of relative confidence. (For example, being more confident that P than that Q, or being equally confident that P and that Q.) In this paper, I raise several general challenges for comparativism, relating to (i) its capacity to illuminate apparently meaningful claims regarding intervals and ratios of strengths of belief, (ii) its capacity to draw enough intuitively meaningful and theoretically relevant distinctions between doxastic states, and (...) (iii) its capacity to handle common instances of irrationality. (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.

Why do a conceptual analysis on a word that we already know how to use? Marilyn Strathern provides some information on garden cities and suburbs which suggests a novel solution to me.

Joseph Raz criticizes John Rawls for a procedure supporting a non-adaptable constitution. This paper considers how a non-adaptable constitution can seem not so counterintuitive and also when.

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)

According to the preference-centric approach to understanding partial belief, the connection between partial beliefs and preferences is key to understanding what partial beliefs are and how they’re measured. As Ramsey put it, the ‘degree of a belief is a causal property of it, which we can express vaguely as the extent to which we are prepared to act on it’ The Foundations of Mathematics and Other Logical Essays, Routledge, Oxon, pp 156–198, 1931). But this idea is not as popular as (...) it once was. Nowadays, the preference-centric approach is frequently dismissed out-of-hand as behaviouristic, unpalatably anti-realist, and/or prone to devastating counterexamples. Cases like Eriksson and Hájek’s :183–213, 2007) preferenceless Zen monk and Christensen’s :356–376, 2001) other roles argument have suggested to many that any account of partial belief that ties them too closely to preferences is irretrievably flawed. In this paper I provide a defence of preference-centric accounts of partial belief. (shrink)

Possible worlds models of belief have difficulties accounting for unawareness, the inability to entertain (and hence believe) certain propositions. Accommodating unawareness is important for adequately modelling epistemic states, and representing the informational content to which agents have in principle access given their explicit beliefs. In this paper, I develop a model of explicit belief, awareness, and informational content, along with an sound and complete axiomatisation. I furthermore defend the model against the seminal impossibility result of Dekel, Lipman and Rustichini, according (...) to which three intuitive conditions preclude non-trivial unawareness on any possible worlds model of belief. (shrink)

This article explains that and how Robert S. Hartman and Brand Blanshard, two of the most insightful philosophers of the 20th Century, were complete rationalists in their approach to philosophical problems, especially those in value theory. They both rejected emotive, subjectivist, and relativistic approaches to ethical values. Both were convinced that “intrinsic goodness” is the most important, meaningful, and basic of all ethical or moral concepts. Just how they understood reasonableness and the task of philosophers is explored. Significant differences between (...) the two on the meaning of “good” are examined. Blanshard’s equating of “intrinsically good” with “fulfillment and pleasure” is critiqued, and Hartman’s alternative to this is presented and defended. (shrink)

Apparently the Western philosophical tradition has (wrongly) preferred speech over writing – so claims Jacques Derrida. In this paper, I consider whether utilitarianism involves such a preference. There are at least two arguments against the claim.

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)

In this paper, I draw attention to a revolution in the metaphysical commitments of Western astrology. Although I do not wish to promote astrology, I propose a rational route to this revolution. But there is a strong argument, from a Popperian perspective, that my proposal fails to establish rationality. I then consider whether we should say that astrology is either false or unfalsifiable, drawing attention to some surprising findings from schizophrenia research. Also, in a footnote I present “Tompkins’ paradox.”.

This paper argues for the value of philosophers in a school of social sciences within a university, for fixing what I call disciplinary constitutions. A disciplinary constitution is a statement of “How our discipline works: how we achieve the ends of our discipline.” A lot of people depend on a constitution, but such a thing usually runs into problems and philosophers can identify these problems and propose solutions. I suggest that it is essential for the autonomy of an ambitious school (...) to be able to do such work internally. (shrink)

This article explains that and how values and evaluations are unavoidably and conspicuously present within natural scientists and their sciences—and why they are definitely not “value-free”. It shows how such things can be rationally understood and assessed within the framework of formal axiology, the value theory developed by Robert S. Hartman and those who have been deeply influenced by his reflections. It explains Hartman’s highly plausible and applicable definitions of “good” and related value concepts. It identifies three basic kinds of (...) value objects and human evaluations of these, and it shows how these should be ranked or prioritized in comparative worth. Finally, throughout, it applies all of the above to what is really going on within natural scientists and their sciences. It shows how anyone, scientists included, should proceed in order to make sense of what and how they value. (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.

This paper offers a cheap solution to Laura Valentini’s paradox of ideal theory. An ideal theory cannot be sound by definition, since in the relevant sense of “ideal theory” it involves false propositions.

I present a sense of the term “ideal theory” based on Joseph Raz’s response to the situation of a lifeguard faced with three drowning on one side and two on the other and unable to save all. From what is of value, such a theory builds up a conception of an ideal political state or an aspect of it which we have reason to realize, but ignoring whether it is possible for us to realize this.

John Rawls’s difference principle says that we should change our economy if doing so is better for the worst-off group, on the condition that certain basic rights are secured. This paper presents a kind of case that challenges the principle. If we modify the principle to cope with the challenge, we open the way to a Sorites paradox.

A review of some major topics of debate in normative decision theory from circa 2007 to 2019. Topics discussed include the ongoing debate between causal and evidential decision theory, decision instability, risk-weighted expected utility theory, decision-making with incomplete preferences, and decision-making with imprecise credences.

There is an intuition that the past does not ever change. In their paper ‘The puzzle of the changing past,’ Luca Barlassina and Fabio Del Prete argue that in 2012 the past changed. I show that we are not in a position to accept their argument.

The research was generally motivated by a dearth of studies on joy, and particularly inspired by a book of joy celebrating the inter-spiritual dialogue between the Dalai Lama and Desmond Tutu. Its aim was to investigate whether the direct contemplation of joy would be associated with improvements in psychophysiological coherence, spirituality and various positive emotions and feelings. Integrative quantitative and qualitative findings emerging from a small pilot study, including a convenience sample of six participants with a mean age of 42 (...) years and age range of 25-69 years, supported the research hypothesis. Significant quantitative increases in psychophysiological coherence, spirituality and positive feelings were coherently and consistently supported by participants' individual and collective experiences. Integrative discussion amplified the paradoxical theme of joy through suffering in human emotional and spiritual life. (shrink)

Comparativism is the view that comparative confidences (e.g., being more confident that P than that Q) are more fundamental than degrees of belief (e.g., believing that P with some strength x). In this paper, I outline the basis for a new, non-probabilistic version of comparativism inspired by a suggestion made by Frank Ramsey in `Probability and Partial Belief'. I show how, and to what extent, `Ramseyan comparativism' might be used to weaken the (unrealistically strong) probabilistic coherence conditions that comparativism traditionally (...) relies on. (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 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)

Jeanette Edwards sounds as if she wishes to reject the question “Why did you do fieldwork there?” I propose a metaphysical route to this, which is to say, “The self before fieldwork is not my self,” but this conflicts with the traditional Lockean account of personal identity.

In this chapter, I will make the case that we can accurately describe Ghazali’s position as a natural law theory. Kevin Reinhart (1995), on whose translation of al-Mustaṣfā I will be depending in what follows, has also treated this topic. Though he did not specifically compare Ghazali’s position there with natural law theory, like Hourani (1985) he interprets Ghazali’s position as subjectivist on key points rendering it incompatible with natural law theory. Thus, I will begin with a prima facie case (...) for this incompatibility roughly along the lines one finds in Reinhart, and argue that a closer examination of the relevant text of al-Mustaṣfā along with the parallel section of al-Iqtiṣād, also cited by Hourani, shows that Ghazali’s position is not conclusively subjectivist, but instead is compatible with a natural law theory. I will examine key sections of Ghazali’s Kimiya al-Sa’dāt that quite clearly express a natural law theory of morality. (shrink)

This paper provides an exposition and defence of Lewis' theory of radical interpretation. The first part explains what Lewis' theory was; the second part explains what it wasn't, and in so doing addresses a number of common objections that arise as a result of widespread myths and misunderstandings about how Lewis' theory is supposed to work.

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)

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.