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".

John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos and R. (...) Jeffrey, 5th ed., Cambridge University Press, 2007), Fixing Frege (Princeton University Press, 2005), Mathematics, Models, and Modality (Cambridge University Press, 2007), Philosophical Logic (Princeton University Press, 2009), Truth (with A. G. Burgess, Princeton University Press, 2011), Saul Kripke: Puzzles & Mysteries (Polity Press, 2012), Rigor & Structure (Oxford University Press, 2015), and Set Theory (Cambridge Elements, Forthcoming). In this interview, Professor Burgess talks about how his interests in mathematics and philosophy developed and relate to each other. He then answers questions about specific themes of his philosophical work, with a focus on issues pertaining to philosophy of mathematics. (shrink)

‎A universal schema for diagonalization was popularized by N. S‎. ‎Yanofsky (2003)‎, ‎based on a pioneering work of F.W‎. ‎Lawvere (1969)‎, ‎in which the existence of a (diagonolized-out and contradictory) object implies the existence of a fixed-point for a certain function‎. ‎It was shown that many self-referential paradoxes and diagonally proved theorems can fit in that schema‎. ‎Here‎, ‎we fit more theorems in the universal‎ ‎schema of diagonalization‎, ‎such as Euclid's proof for the infinitude of the primes and new proofs (...) of G. Boolos (1997) for Cantor's theorem on the non-equinumerosity of a set with its powerset‎. ‎Then‎, ‎in Linear Temporal Logic‎, ‎we show the non-existence of a fixed-point in this logic whose proof resembles the argument of Yablo's paradox (1985‎, ‎1993)‎. ‎Thus‎, ‎Yablo's paradox turns for the first time into a genuine mathematico-logical theorem in the framework of Linear Temporal Logic‎. ‎Again the diagonal schema of the paper is used in this proof; and it is also shown that G. Priest's inclosure schema (1997) can fit in our universal diagonal / fixed-point schema‎. ‎We also show the existence of dominating (Ackermann-like) functions (which dominate a given countable set of functions‎, ‎such as primitive recursive functions) in the schema. (shrink)

This paper contains a close analysis of Frege's proofs of the axioms of arithmetic §§70-83 of Die Grundlagen, with special attention to the proof of the existence of successors in §§82-83. Reluctantly and hesitantly, we come to the conclusion that Frege was at least somewhat confused in those two sections and that he cannot be said to have outlined, or even to have intended, any correct proof there. The proof he sketches is in many ways similar to that given in (...) Grundgesetze der Arithmetik, but fidelity to what Frege wrote in Die Grundlagen and in Grundgesetze requires us to reject the charitable suggestion that it was this (beautiful) proof that he had in mind in §§82-83. (shrink)

Fichte assigns ‘intellectual intuition’ a new meaning after Kant. But in 1799, his doctrine of intellectual intuition is publicly deemed indefensible by Kant and nihilistic by Jacobi. I propose to defend Fichte’s doctrine against these charges, leaving aside whether it captures what he calls the ‘spirit’ of transcendental idealism. I do so by articulating three problems that motivate Fichte’s redirection of intellectual intuition from being to acting: (1) the regress problem, which states that reflecting on empirical facts of consciousness leads (...) only to further facts and so cannot yield a first principle; (2) the rhapsody problem, which states that the categories form a haphazard set and so lack necessity unless they derive from a first principle; and (3) the nihilism problem, which states that a first principle cannot lie outside our cognition of it, lest it be the cause of our cognition and, being first, the cause of all our actions, reducing us to machines. Crucially, Fichte’s three motivating problems are in fact aspects of a single problem. Leaving any aspect unsolved spoils putative solutions to the other two. Consequently, Fichte requires a single unified solution to all three, which his doctrine of intellectual intuition provides. (shrink)

The COVID-19 pandemic revealed numerous weaknesses in pandemic preparedness and response, including underfunding, inadequate surveillance, and inequitable distribution of countermeasures. To overcome these weaknesses for future pandemics, WHO released a zero draft of a pandemic treaty in February, 2023, and subsequently a revised bureau's text in May, 2023. COVID-19 made clear that pandemic prevention, preparedness, and response reflect choices and value judgements. These decisions are therefore not a purely scientific or technical exercise, but are fundamentally grounded in ethics. The latest (...) treaty draft reflects these ethical considerations by including a section entitled Guiding Principles and Approaches. Most of these principles are ethical—they establish core values that undergird the treaty. Unfortunately, the treaty draft's set of principles are numerous, overlapping, and show inadequate coherence and consistency. We propose two improvements to this section of the draft pandemic treaty. First, key guiding ethical principles should be clearer and more precise than they currently are. Second, the link between ethical principles and policy implementation should be clearly established and define boundaries on acceptable interpretation, ensuring that signatories abide by these principles. (shrink)

Volume 19, Issue 7, July 2019, Page 28-30.

In the Vocation of Man, Fichte makes the striking claim that life is eternal, rational, our true being, and the final cause of nature in general and of death in particular. How can we make sense of this claim? I argue that the public lectures that compose the Vocation are a popular expression of Fichte’s pre-existing commitment to what I call immortalism, the view that life is the unconditioned condition of intelligibility. Casting the I as an absolutely self-active or living (...) power enables his philosophical account of both the intelligibility of objects and of what it means to die. This explains his characterization of the Wissenschaftslehre as a system in which ‘all is act, movement, and life’. In Sect. 1, I explain the context of Jacobi’s use of ‘caput mortuum’ as a term for the thing in itself. In Sects. 2 and 3, I reconstruct two immortalist arguments from Fichte’s Jena period. The first is that the I’s self-activity rules out the existence of the thing in itself and thereby vanquishes ‘death’s head’. The second is that, insofar as the I charges us with the moral perfection of nature, it is the final cause of our entire life, including its end. This is to say that the I puts our every moment into question, even our last. In Sect. 4, I use these immortalist arguments to interpret the striking claim from the Vocation. (shrink)

Biological evolution is a complex blend of ever changing structural stability, variability and emergence of new phe- notypes, niches, ecosystems. We wish to argue that the evo- lution of life marks the end of a physics world view of law entailed dynamics. Our considerations depend upon dis- cussing the variability of the very ”contexts of life”: the in- teractions between organisms, biological niches and ecosys- tems. These are ever changing, intrinsically indeterminate and even unprestatable: we do not know ahead of (...) time the ”niches” which constitute the boundary conditions on selec- tion. More generally, by the mathematical unprestatability of the ”phase space”, no laws of mo- tion can be formulated for evolution. We call this radical emergence, from life to life. The purpose of this paper is the integration of variation and diversity in a sound concep- tual frame and situate unpredictability at a novel theoretical level, that of the very phase space. Our argument will be carried on in close comparisons with physics and the mathematical constructions of phase spaces in that discipline. The role of symmetries as invariant preserving transformations will allow us to under- stand the nature of physical phase spaces and to stress the differences required for a sound biological theoretizing. In this frame, we discuss the novel notion of ”enablement”. Life lives in a web of enablement and radical emergence. This will restrict causal analyses to differential cases. Mutations or other causal differ- ences will allow us to stress that ”non conservation princi- ples” are at the core of evolution, in contrast to physical dynamics, largely based on conservation principles as sym- metries. Critical transitions, the main locus of symmetry changes in physics, will be discussed, and lead to ”extended criticality” as a conceptual frame for a better understanding of the living state of matter. (shrink)

It has recently been argued that reproductive genetic manipulation technologies like mitochondrial replacement and germline CRISPR modifications cannot be said to save anyone’s life because, counterfactually, no one would suffer more or die sooner absent the intervention. The present article argues that, on the contrary, reproductive genetic manipulations may be life-saving (and, from this, have therapeutic value) under an appropriate population health perspective. As such, popular reports of reproductive genetic manipulations potentially saving lives or preventing disease are not necessarily mistaken, (...) though such terminology still requires further empirical validation. (shrink)

As opposed to a ‘one size fits all’ approach, precision medicine uses relevant biological, medical, behavioural and environmental information about a person to further personalize their healthcare. This could mean better prediction of someone’s disease risk and more effective diagnosis and treatment if they have a condition. Big data allows for far more precision and tailoring than was ever before possible by linking together diverse datasets to reveal hitherto-unknown correlations and causal pathways. But it also raises ethical issues relating to (...) the balancing of interests, viability of anonymization, familial and group implications, as well as genetic discrimination. This article analyses these issues in light of the values of public benefit, justice, harm minimization, transparency, engagement and reflexivity and applies the deliberative balancing approach found in theEthical Framework for Big Data in Health and Research to a case study on clinical genomic data sharing. Please refer to that article for an explanation of how this framework is to be used, including a full explanation of the key values involved and the balancing approach used in the case study at the end. Our discussion is meant to be of use to those involved in the practice as well as governance and oversight of precision medicine to address ethical concerns that arise in a coherent and systematic manner. (shrink)

Throughout his career, Schelling assigns knowledge of the absolute first principle of philosophy to intellectual intuition. Schelling's doctrine of intellectual intuition raises two important questions for interpreters. First, given that his doctrine undergoes several changes before and after his identity philosophy, to what extent can he be said to “hold onto” the same “sense” of it by the 1830s, as he claims? Second, given that his doctrine of intellectual intuition restricts absolute idealism to what he calls a “science of reason”, (...) which he says cannot prove the absolute’s existence, what other doctrine does he require in order to prove this? I will answer these questions by tracing the shifts in Schelling’s doctrine of intellectual intuition from the 1790s to the 1830s and drawing out its evolving methodological role within his science of intelligibility. (shrink)

Two attitudes are possible: one, that the world is an absolute jungle and that the exercise of coercive power by rulers is only a manifestation of this; and the other, that it is both necessary and right that there should be this exercise of power, that through it the world is much less of a jungle than it could possibly be without it, so that one should in principle be glad of the existence of such power, and only take exception (...) to its unjust exercise. (shrink)

This paper offers a short extension of the dialogue between Anselm and the Fool that is contained in "The Ontological Argument Simplified" by Gary Matthews and Lynne Rudder Baker. My extension of the dialogue ends with the Fool proclaiming that "what looks like an argument of elegant simplicity turns out to be no argument at all".

This chapter intervenes in recent debates in Kant scholarship about the possibility of a general logical alien. Such an alien is a thinker whose laws of thinking violate ours. She is third-personal as she is radically unlike us. Proponents of the constitutive reading of Kant’s conception of general logic accordingly suggest that Kant rules out the possibility of such an alien as unthinkable. I add to this an often-overlooked element in Kant’s thinking: there is reason to think that he grants—and (...) in fact presupposes—the possibility of a transcendental logical alien. Such an alien is a knower whose laws of experience purport to violate ours. She is first-personal as she is radically like us. In other words, she is us, insofar as we are alienated from ourselves and our experience. I go on to draw an analogy between her, a dogmatist, and another transcendental alien, an evil agent. Just as a dogmatist is alienated from her (our) experiential laws, an evil agent is alienated from her (our) moral law. These forms of theoretical and practical self-conceit require self-knowledge in the form of a critique of speculative or practical reason. In bringing this point out, I aim to shift from the question of whether logical laws constitute our thinking to the question of whether grasping our experiential and moral laws as our laws constitutes our reason. (shrink)

The concept of facticity denotes conditions of experience whose necessity is not logical yet whose contingency is not empirical. Although often associated with Heidegger, Fichte coins ‘facticity’ in his Berlin period to refer to the conclusion of Kant’s metaphysical deduction of the categories, which he argues leaves it a contingent matter that we have the conditions of experience that we do. Such rhapsodic or factical conditions, he argues, must follow necessarily, independent of empirical givenness, from the I through a process (...) of ‘genesis.’ I reconstruct Fichte’s argument by tracing the origin of his neologism, presenting his Jena critique of Kant’s rhapsodic appeal to the forms of judgment, and illustrating the Jena period’s continuity with the Berlin period’s genetic method, while noting a methodological shift whereby Fichte directs his critique against his own doctrine of intellectual intuition in order to eliminate its ‘factical terms.’. (shrink)

Fichte argues that the conclusion of Kant’s transcendental deduction of the categories is correct yet lacks a crucial premise, given Kant’s admission that the metaphysical deduction locates an arbitrary origin for the categories. Fichte provides the missing premise by employing a new method: a genetic deduction of the categories from a first principle. Since Fichte claims to articulate the same view as Kant in a different, it is crucial to grasp genetic deduction in relation to the sorts of deduction that (...) Kant offers. I propose to interpret genetic deduction as the simultaneous fulfillment of two tasks: answering the question quid facti by deriving the categories from the I and answering the question quid juris by establishing our entitlement to the categories as conditions of experience. While the second task represents Fichte’s agreement with Kant’s transcendental deduction, the first reflects his correction of Kant’s metaphysical deduction. (shrink)

In the Freedom essay, Schelling charges that (1) idealism fails to grasp human freedom’s distinctiveness and that (2) this failure undermines idealism's attempt to refute pantheism, as exemplified by Spinoza. This raises two questions, which I will answer in turn: what, for Schelling, is distinctive of human freedom; and how does the idealists’ failure to grasp it render them unable to refute pantheism? To answer these questions, I will reconstruct Schelling’s argument that freedom has the distinctness of being the unconditioned (...) condition of the world’s intelligibility. My reconstruction will illustrate how Schelling’s notion of freedom as primal will grounds the alleged primacy of practical reason as Kant and Fichte conceive it. I will then consider three objections to Schelling’s argument. Throughout, I will develop the Schellingian idea that freedom is enacted in an unprethinkable decision that cannot be anticipated by any law or principle. (shrink)

Kant’s critique/doctrine distinction tracks the difference between a canon for the understanding’s proper use and an organon for its dialectical misuse. The latter reflects the dogmatic use of reason to attain a doctrine of knowledge with no antecedent critique. In the 1790s, Fichte collapses Kant’s distinction and redefines dogmatism. He argues that deriving a canon is essentially dialectical and thus yields an organon: critical idealism is properly a doctrine of science or Wissenschaftslehre. Criticism is furthermore said to refute dogmatism, by (...) which Fichte means Spinozism. Schelling repudiates Fichte’s position in his Philosophical Letters by reviving Kant’s distinction. First, ‘critique’ for Schelling names a canon that is valid for all systems—including Spinozism—and thus favours none—not even the Wissenschaftslehre. Second, Schelling coins ‘dogmaticism’ to refer to what Kant calls ‘dogmatism’: reason’s uncritical claim to doctrine. Hence, he says all systems—even Fichte’s—are susceptible to the ‘enthusiasm’ of mistaking themselves for doctrines or ‘objects of knowledge’, instead of subjectively valid ‘objects of freedom’. I reconstruct Schelling’s argument for reviving Kant’s distinction, while noting two consequences for German idealism. First, if criticism favours no system, a system’s origin cannot be an act of knowledge, e.g., intellectual intuition, but only an act of endorsement. Second, if dogmaticism entails enthusiasm, a system’s goal cannot be absolute knowledge, but only infinite striving. Hence, by retrieving Schelling’s notion of dogmaticism, we can both gain a better understanding of the Letters and register the impact of a core Kantian distinction on the German idealist project. (shrink)

A precursor to the hard problem of consciousness confronts nihilism. Like physicalism, nihilism collides with the first-personal fact of what perception and action are like. Unless this problem is solved, nature’s inclusion of conscious experience will remain, as Chalmers warns the physicalist, an “unanswered question” and, as Jacobi chides the nihilist, “completely inexplicable". One advantage of Kant’s Copernican turn is to dismiss the question that imposes this hard problem. We need not ask how nature is accompanied by the first-person standpoint (...) because “I think” is an apperceptive form of thinking that must be able to accompany any cognition of nature. Kant’s formal conception of apperception worries Fichte in his Nova Methodo lectures. This conception arguably cannot exhaust the ground of experience, for it does not show why we posit objects “at all". For Fichte, it is our agency that first opens a world of objects, viz., as subjects, means, ends, and obstacles. In what follows, I argue that, for Fichte, the I poses no hard problem because it collides exclusively with nihilistic views like Spinozism, which are refuted by a properly transcendental idealist conception of apperception, according to which the first-person standpoint is the absolute ground of our experience of nature. If transcendental idealism refutes nihilism, nature is no more explicable than that there is something it is like for me to perceive and act. In Section 1, I show why Kantian apperception is necessary for possible experience. In Section 2, I reconstruct Fichte’s argument that a modified conception of apperception refutes guises of nihilism, thereby solving the hard problem of consciousness. In Section 3, I suggest that transcendental idealism undermines Chalmers’ proposed solution to and Dennett’s dismissal of this problem. (shrink)

Sometimes it is indeterminate what an agent morally ought do. This generates a Decision Ought Challenge—to give moral guidance to agents in such a scenario. This article is a field guide to the options for a theory of the decision ought for cases of indeterminacy. Three categories of view are evaluated, and the best representative for each is identified.

Aristotle argued that you need some wealth to live well. The Stoics argued that you could live well with or without wealth. But the Cynics argued that wealth is a hinderance. For the Cynics, a good life consists in self-sufficiency, or being able to rule and help yourself. You accomplish this by living simply and naturally, and by subjecting yourself to rigorous philosophical exercises. Cynics confronted people to get them to abandon extraneous possessions and positions of power to live better. (...) And while the Cynics were experts in living in this way, their ascetic lifestyles made their message curious to some audiences. This paper reflects on Cynic ascetic practices and the ways others perceived them. (shrink)

Moral enhancement is an ostensibly laudable project. Who wouldn’t want people to become more moral? Still, the project’s approach is crucial. We can distinguish between two approaches for moral enhancement: direct and indirect. Direct moral enhancements aim at bringing about particular ideas, motives or behaviors. Indirect moral enhancements, by contrast, aim at making people more reliably produce the morally correct ideas, motives or behaviors without committing to the content of those ideas, motives and/or actions. I will argue, on Millian grounds, (...) that the value of disagreement puts serious pressure on proposals for relatively widespread direct moral enhancement. A more acceptable path would be to focus instead on indirect moral enhancements while staying neutral, for the most part, on a wide range of substantive moral claims. I will outline what such indirect moral enhancement might look like, and why we should expect it to lead to general moral improvement. (shrink)

In Mind and World, John McDowell argues against the view that perceptual representation is non-conceptual. The central worry is that this view cannot offer any reasonable account of how perception bears rationally upon belief. I argue that this worry, though sensible, can be met, if we are clear that perceptual representation is, though non-conceptual, still in some sense 'assertoric': Perception, like belief, represents things as being thus and so.

Our understanding of Schelling’s internal critique of German idealism, including his late attack on Hegel, is incomplete unless we trace it to the early “Philosophical Letters on Dogmatism and Criticism,” which initiate his engagement with the problem of systematicity—that judgment makes deriving a system of a priori conditions from a first principle necessary, while this capacity’s finitude makes this impossible. Schelling aims to demonstrate this problem’s intractability. My conceptual aim is to reconstruct this from the “Letters,” which reject Fichte’s claim (...) that the Wissenschaftslehre is an unrivalled system. I read Schelling as charging Fichte with misrepresenting a system’s livability or commensurability with our finitude. My historical aim is to provide a framework for understanding Schelling’s Freiheitsschrift, which argues that a system’s liveability depends on its incompleteness or limitation by our finitude. On my reading, Schelling is early and continually committed to systematicity within the bounds of human finitude. (shrink)

The current prevailing view is that participation in biomedical research is above and beyond the call of duty. While some commentators have offered reasons against this, we propose a novel public goods argument for an obligation to participate in biomedical research. Biomedical knowledge is a public good, available to any individual even if that individual does not contribute to it. Participation in research is a critical way to support an important public good. Consequently, all have a duty to participate. The (...) current social norm is that individuals participate only if they have a good reason to do so. The public goods argument implies that individuals should participate unless they have a good reason not to. Such a shift would be of great aid to the progress of biomedical research, eventually making society significantly healthier and longer lived. (shrink)

"It is the purpose of this article to attempt to re-examine the account of Thrasymachus' doctrine in Plato's Republic, and to show how it can form a self-consistent whole. [...] In this paper it is maintained that Thrasymachus is holding a form of [natural right]." Note: Volume 40 = new series 9.

Background Several jurisdictions, including Singapore, Australia, New Zealand and most recently Ireland, have a public interest or public good criterion for granting waivers of consent in biomedical research using secondary health data or tissue. However, the concept of the public interest is not well defined in this context, which creates difficulties for institutions, institutional review boards and regulators trying to implement the criterion. Main text This paper clarifies how the public interest criterion can be defensibly deployed. We first explain the (...) ethical basis for requiring waivers to only be granted to studies meeting the public interest criterion, then explore how further criteria may be set to determine the extent to which a given study can legitimately claim to be in the public interest. We propose an approach that does not attempt to measure magnitude of benefit directly, but rather takes into account metrics that are more straightforward to apply. To ensure consistent and justifiable interpretation, research institutions and IRBs should also incorporate procedural features such as transparency and public engagement in determining which studies satisfy the public interest requirement. Conclusion The requirement of public interest for consent waivers in secondary biomedical research should be guided by well-defined criteria for systematic evaluation. Such a criteria and its application need to be periodically subject to intra-committee and intra-institution review, reflection, deliberation and amendment. (shrink)

The history of philosophy risks a self-opacity whereby we overestimate or underestimate our proximity to prior modes of thinking. This risk is relevant to assessing Hegel’s appropriation by McDowell and Priest. McDowell enlists Hegel for a quietist answer to the problem with assuming that concepts and reality belong to different orders, viz., how concepts are answerable to the world. If we accept Hegel’s absolute idealist view that the conceptual is boundless, this problem allegedly dissolves. Priest enlists Hegel for a dialetheist (...) answer to the problem with assuming that truth and falsity are mutually exclusive, viz., how certain sentences are both true and false. If we accept Hegel’s dialectical view that certain contradictions are necessary, this problem allegedly dissolves. For both McDowell and Priest, we find a true friend in Hegel. I argue that McDowell’s and Priest’s appropriations of Hegel overestimate Hegel’s affinity with quietism and dialetheism. McDowell reads Hegel as a quietist who silences metaphysical claims and the skeptical questions they raise against commonsense, but neglects Hegel’s adaptation of ancient skepticism against commonsense. Priest reads Hegel as a dialetheist who subordinates formal logic to dialectical logic by affirming the truth of certain contradictions, but neglects Hegel’s commitment to resolving contradictions for the sake of truth qua whole. I diagnose their misreadings in terms of what Hegel regards as the three moments of logic and argue that while McDowell jumps to its third moment, Priest stalls at its second moment. According to Hegel’s Encyclopedia Logic, logic has three “moments”: the abstractive moment of the understanding, which “stops short” at fixed categories; the negative moment of dialectic, which discovers the “genuine nature” of the categories, viz., that each “passes over, of itself, into its opposite”; and the positive moment of speculation, which grasps the “unity” of categories through the “dissolution” of their inner opposition. Hegel warns that if these moments are “kept separate from each other […] they are not considered in their truth”. I suggest that quietist and dialetheist readings of Hegel fail to consider truthfully the unified moments of his logic. In his quietist critique of metaphysics, McDowell enlists Hegel to dissolve the problem with assuming the duality of concept and reality. But McDowell helps himself directly to the third moment of logic, where the unity of the categories, and hence the boundlessness of the conceptual, would be fully articulated. Since he arrives at the third moment prematurely, ignoring its prior moments, he obscures its truth (§1). In his dialetheist critique of formal logic, Priest enlists Hegel to dissolve the problem with assuming the duality of truth and falsity. But Priest restricts himself gratuitously to the second moment of logic, where contradictions within the categories are not yet resolved. Since he stalls at the second moment, severed from its final moment, he obscures its truth (§2). I argue we can extricate Hegel from quietist and dialetheist misreadings only if we grasp the truth of the three moments of logic. (shrink)

While philosophers are often concerned with the conditions for moral knowledge or justification, in practice something arguably less demanding is just as, if not more, important – reliably making correct moral judgments. Judges and juries should hand down fair sentences, government officials should decide on just laws, members of ethics committees should make sound recommendations, and so on. We want such agents, more often than not and as often as possible, to make the right decisions. The purpose of this paper (...) is to propose a method of enhancing the moral reliability of such agents. In particular, we advocate for a procedural approach; certain internal processes generally contribute to people’s moral reliability. Building on the early work of Rawls, we identify several particular factors related to moral reasoning that are specific enough to be the target of practical intervention: logical competence, conceptual understanding, empirical competence, openness, empathy and bias. Improving on these processes can in turn make people more morally reliable in a variety of contexts and has implications for recent debates over moral enhancement. (shrink)

This paper argues that McDowell wrongly assumes that “terror”, Cavell’s reaction to the radical contingency of our shared modes of knowing or our “attunement”, expresses a skepticism that is antinomically bound to an equally unacceptable dogmatism because Cavell rather regards terror as a mood that reveals the “truth of skepticism”, namely, that there is no conclusive evidence for necessary attunement on pain of a category error, and that a precedent for McDowell’s misunderstanding is Hegel’s argument for necessary attunement in a (...) system of knowing, whose refutation Schelling holds it is the “merit of skepticism” to provide. (shrink)

Some have objected to human enhancement on the grounds that it violates the autonomy of the enhanced. These objections, however, overlook the interesting possibility that autonomy itself could be enhanced. How, exactly, to enhance autonomy is a difficult problem due to the numerous and diverse accounts of autonomy in the literature. Existing accounts of autonomy enhancement rely on narrow and controversial conceptions of autonomy. However, we identify one feature of autonomy common to many mainstream accounts: reasoning ability. Autonomy can then (...) be enhanced by improving people’s reasoning ability, in particular through cognitive enhancement; given how valuable autonomy is usually taken to be, this gives us extra reason to pursue such cognitive enhancements. Moreover, autonomy-based objections will be especially weak against such enhancements. As we will argue, those who are worried that enhancements will inhibit people’s autonomy should actually embrace those enhancements that will improve autonomy. (shrink)

While the idea that philosophy requires self-transformation is historically pervasive, it exerts considerable influence on the post-Kantians who first aim to systematize Kant’s idealism by grounding it on a first principle. In the 1790s, Fichte and Schelling offer competing accounts of the self-transformation that they regard as essential to positing a first principle. Their accounts raise two central questions. First, what makes this kind of self-transformation possible? Second, are there different possible expressions of philosophical self-transformation? In what follows, I will (...) articulate the Fichtean and Schellingian answers to these central questions. For Fichte, the one who summons me to posit a first principle makes possible my philosophical self-transformation, although the latter has an exclusively idealist expression in that I can only genuinely posit the I as first principle, which is to say that philosophical self-transformation depends on mutual recognition and vindicates precisely one philosophical system (Section 1). For Schelling, a brute act of will makes possible my philosophical self-transformation, although the latter has either an idealist or a realist expression in that I can genuinely posit either the I or the not-I as first principle, which is to say that philosophical self-transformation does not depend on mutual recognition and vindicates one of two possible philosophical systems (Section 2). Thus, whereas Fichtean self-transformation is recognitive and non-pluralistic, Schellingian self-transformation is pluralistic and non-recognitive. I conclude with a discussion of how Jacobi poses a challenge to Fichte’s and Schelling’s answers to the two central questions (Section 3). (shrink)

This chapter aims to illuminate ways in which hope was significant in the philosophy of classical Greece. Although ancient Greek philosophies contain few dedicated and systematic expositions on the nature of hope, they nevertheless include important remarks relating hope to the good life, to reason and deliberation, and to psychological phenomena such as memory, imagination, fear, motivation, and pleasure. After an introductory discussion of Hesiod and Heraclitus, the chapter focuses on Plato and Aristotle. Consideration is given both to Plato’s direct (...) comments on hope and to the narrative contexts of his dialogues, with analysis of Plato’s positive and negative representations of hope, hope’s relationship to reason, and Plato’s more psychological approach in the Philebus, where hope finds a place among memory, recollection, pleasure, and pain. The chapter then reviews Aristotle’s discussions of confidence, hope, and courage, observing that although Aristotle does not mention hope as a virtue, he does note its importance to human agency and deliberation and as a foundation for the further development of virtue. The chapter concludes that discussions surrounding hope in ancient Greek philosophy are rich and challenging and can serve as a lively stimulus to further exploration of the concept of hope. (shrink)

This paper is a critical examination of Stephen Neale's *The Philosophical Significance of Godel's slingshot*. I am sceptical of the philosophical significance of Godel’s Slingshot (and of Slingshot arguments in general). In particular, I do not believe that Godel’s Slingshot has any interesting and important philosophical consequences for theories of facts or for referential treatments of definite descriptions. More generally, I do not believe that any Slingshot arguments have interesting and important philosophical consequences for theories of facts or for referential (...) treatments of definite descriptions. Friends of facts and referential treatments of definite descriptions can, and should, proceed with the construction of their theories, blithely ignoring the many Slingshots which now litter the landscape. (Of course, there may be other considerations which should give such theorists pause -- but those are other considerations.). (shrink)

Characterizations of an (∈, ∈)-neutrosophic ideal are considered. Any ideal in a BCK/BCI-algebra will be realized as level neutrosophic ideals of some (∈, ∈)-neutrosophic ideal. The relation between (∈, ∈)-neutrosophic ideal and (∈, ∈)-neutrosophic subalgebra in a BCK-algebra is discussed. Conditions for an (∈, ∈)-neutrosophic subalgebra to be a (∈, ∈)-neutrosophic ideal are provided. Using a collection of ideals in a BCK/BCI-algebra, an (∈, ∈)-neutrosophic ideal is established. Equivalence relations on the family of all (∈, ∈)-neutrosophic ideals are introduced, and (...) related properties are investigated. (shrink)

A gas in a box is perhaps the most important model system studied in thermodynamics and statistical mechanics. Usually, studies focus on the gas, whereas the box merely serves as an idealized confinement. The present article focuses on the box as the central object and develops a thermodynamic theory by treating the geometric degrees of freedom of the box as the degrees of freedom of a thermodynamic system. Applying standard mathematical methods to the thermody- namics of an empty box allows (...) equations with the same structure as those of cosmology and classical and quantum mechanics to be derived. The simple model system of an empty box is shown to have interesting connections to classical mechanics, special relativity, and quantum field theory. (shrink)

Volume 20, Issue 2, February 2020, Page 20-22.

Despite F. W. J. Schelling’s relative exclusion from the ongoing German idealist renaissance in Anglophone scholarship, recent critical and historical engagement with idealist texts affords an unprecedented opportunity to discover the richness and value of his thinking. This volume provides a wide-ranging presentation of Schelling’s original contribution to and internal critique of the basic insights of German idealism, his role in shaping the course of post-Kantian thought, and his sensitivity and innovative responses to questions of lasting metaphysical, epistemological, ethical, aesthetic, (...) and theological importance. The contributing authors offer compelling reasons to regard Schelling as one of Kant’s most incisive interpreters, a pioneering philosopher of nature, a resolute philosopher of human finitude and freedom, a nuanced thinker of the bounds of logic and self-consciousness, and perhaps Hegel’s most effective critic. (shrink)

Cushman, Young, & Greene (2010) urge the consolidation of moral psychology around a dual-system consensus. On this view, a slow, often-overstretched rational system tends to produce consequentialist intuitions and action-tendencies, while a fast, affective system produces virtuous (or vicious) intuitions and action-tendencies that perform well in their habituated ecological niche but sometimes disastrously outside of it. This perspective suggests a habit-corrected-by-reason picture of moral behavior. Recent research, however, has raised questions about the adequacy of dual-process theories of cognition and behavior, (...) which tend to distinguish categorically between fast, affect-laden, automatic, sometimes-unconscious, nearly-incorrigible mental processes and slow, rational, effortful, conscious, corrigible mental processes. Processes of one alleged type often have properties associated with the contrary type. For instance, rational processes can be emotional, and fast thinking can perform logical operations. In addition, the fast-slow binary transforms a continuous temporal scale into a dichotomous one, losing potentially important information along the way. While these problems are beginning to be addressed in some subfields of psychology, moral psychology has yet to grapple with them. In this theoretical paper, we argue that moral psychology needs a framework that accounts for our knowledge of both temporal and spatial (anatomical) dimensions of the brain basis of moral cognition and virtuous decision-making. We argue that methodologies with very fine-grained temporal granularity, such as electroencephalography (EEG), should be used to complement more frequently used methodologies such as functional magnetic resonance imaging (fMRI). We outline how this might be accomplished using generosity, gratitude, and integrity as a case study. (shrink)

This paper examines the implications and challenges of Odera Oruka’s conversation approach to the study of contemporary African philosophy as enunciated in his “Philosophic sagacity”. In Oruka’s method, African philosophy is conceived as a joint venture and product of both the ancient and modern Africanphilosophers. Consequently, it utilizes interview, discussion and dialogue.

This paper aims to show that Godel's ontological argument can be parodied in much the same kind of way in which Gaunilo parodied Anselm's Proslogion argument. The parody in this paper fails; there is a patch provided in "Reply to Gettings" (Analysis 60, 4, 2000, 363-7).

In §21 of Grundgesetze der Arithmetik asks us to consider the forms: a a2 = 4 and a a > 0 and notices that they can be obtained from a φ(a) by replacing the function-name placeholder φ(ξ) by names for the functions ξ2 = 4 and ξ > 0 (and the placeholder cannot be replaced by names of objects or of functions of 2 arguments).

In some sense, survival seems to be an intrinsic matter. Whether or not you survive some event seems to depend on what goes on with you yourself —what happens in the environment shouldn’t make a difference. Likewise, being a person at a time seems intrinsic. The principle that survival seems intrinsic is one factor which makes personal fission puzzles so awkward. Fission scenarios present cases where if survival is an intrinsic matter, it appears that an individual could survive twice over. (...) But it’s well known that standard notions of “intrinsicality” won’t do to articulate the sense in which survival is intrinsic, since ‘personhood’ appears to be a maximal property. We formulate a sense in which survival and personhood (and perhaps other maximal properties) may be almost intrinsic—a sense that would suffice, for example, to ground fission arguments. It turns out that this notion of almost-intrinsicality allows us to formulate a new version of the problem of the many. (shrink)