ABSTRACT: It is argued that the equivalence, which is usually postulated to hold between infinite descent and transfinite induction in the foundations of arithmetic uses the law of excluded middle through the use of a double negation on the infinite set of natural numbers and therefore cannot be admitted in intuitionistic logic and mathematics, and a fortiori in more radical constructivist foundational schemes. Moreover it is shown that the infinite descent used in Dedekind-Peano arithmetic does not correspond to the infinite descent of classical Fermatian arithmetic or number theory. However, from the point of view of classical logic, the principles of complete induction and transfinite induction, the least number principle and infinite descent are all equivalent. We find here a focal point for a foundational critique that aims for a a clarification of philosophical options in the foundations of logic and mathematics.

ABSTRACT: David Braybrooke argues that the core of the natural law theory of Thomas Aquinas survived in the work of Hobbes, Locke, Hume, and Rousseau. Much to my surprise, Braybrooke argues as well that David Copp’s society-centered moral theory is a secular version of this same natural law theory. Braybrooke makes a good case that there is an important idea about morality that is shared by the great philosophers in his group and that this idea is also found in Copp’s work. The idea is captured by the Functionalist Thesis, the thesis that moral propositions are made true by facts about what, given the nature of human beings and their circumstances, enables people to live together in thriving communities. I argue that Copp can accept Braybrooke’s suggestion and use it to improve his formulation of the basic idea of the society-centered theory.

ABSTRACT: I offer a refutation of the standard argument according to which we have no doxastic obligation because we do not have the kind of voluntary control over our beliefs required for having obligations. I then propose an interpretation of the distinction between epistemic and practical reasons for belief which can be generalised to other attitudes such as intention, and seems to imply (i) that mental acts such as judgements and decisions never count as intentional actions, and (ii) that these two sorts of reasons are incommensurable.

ABSTRACT: In Die Frage nach dem Ding, Martin Heidegger characterizes Galileo as an important transitional figure in the struggle to replace the Aristotelian conception of nature with that of Newton. However, Heidegger only attends to Galileo’s modernity and not to those Aristotelian elements still discernible in Galileo’s work. This article fleshes out both aspects in Galileo in light of Heidegger’s discussion. It concludes by arguing that the lacuna in Heidegger’s account of Galileo is the consequence of Heidegger’s own self-conscious modernity − a modernity that he slyly hints at in a remark he makes in FD concerning Galileo and Democritus.

ABSTRACT: In Treatise 1.4.4, on behalf of modern philosophers, Hume described a causal argument that shows that our impressions of secondary qualities do not resemble qualities of objects themselves. However, in their respective arguments, Hume’s philosophical predecessors did not argue causally, but appealed to contrary qualities. I argue that Hume’s presentation was not simply a “gratuitous” stylistic difference, but an important correction of his predecessors in light of his own philosophical discoveries.

ABSTRACT: In the search for a more fine-grained criterion of propositional identity in order to provide an adequate analysis of sense and thought, I propose a revision of the ontology of the Frege and Church theory of types of sense and denotation, and I set up a natural predicative propositional logic that explains their logical form in terms of acts of predication. I also define a more subjective notion of truth according to an agent and a new strong propositional implication. The intensional logic thus set forth explains why human agents possess a minimal rationality. I conclude by proposing a new axiomatisation of a minimal epistemic logic.

ABSTRACT: This paper examines the relationship between the claim that zombies are logically/metaphysically possible and the position that phenomenal consciousness is epiphenomenal. It is often taken that the former entails the latter, and that therefore any implausibility in the notion of conscious epiphenomenalism calls into question the genuine possibility of zombies. Four ways in which the zombist might respond are examined, and I argue that two—those most commonly encountered—are inadequate, but the others—one of which is rarely formulated and the other new—are more forceful. The upshot, nevertheless, is that the zombist may indeed face an unwelcome commitment to conscious epiphenomenalism.

ABSTRACT: This paper suggests that it is largely a want of notional distinctions which fosters the “explanatory gap” that has beset the study of consciousness since T. Nagel’s revival of the topic. Modifying Ned Block’s controversial claim that we should countenance a “phenomenal-consciousness” which exists in its own right, we argue that there is a way to recuperate the intuitions he appeals to without engaging in an onerous reification of the facet in question. By renewing with the full type/token/tone trichotomy developed by C. S. Peirce, we think the distinctness Block (rightly) calls attention to can be seen as stemming not from any separate module lurking within the mind, but rather from our ability to prescind qualities from occurrences.