In the early 1900s, Russell began to recognize that he, and many other mathematicians, had been using assertions like the Axiom of Choice implicitly, and without explicitly proving them. In working with the Axioms of Choice, Infinity, and Reducibility, and his and Whitehead’s Multiplicative Axiom, Russell came to take the position that some axioms are necessary to recovering certain results of mathematics, but may not be proven to be true absolutely. The essay traces historical roots of, and motivations for, Russell’s (...) method of analysis, which are intended to shed light on his view about the status of mathematical axioms. I describe the position Russell develops in consequence as “immanent logicism,” in contrast to what Irving (1989) describes as “epistemic logicism.” Immanent logicism allows Russell to avoid the logocentric predicament, and to propose a method for discovering structural relationships of dependence within mathematical theories. (shrink)

Gottfried Leibniz embarked on a research program to prove all the Aristotelic categorical syllogisms by diagrammatic and algebraic methods. He succeeded in proving them by means of Euler diagrams, but didn’t produce a manuscript with their algebraic proofs. We demonstrate how key excerpts scattered across various Leibniz’s drafts on logic contained sufficient ingredients to prove them by an algebraic method –which we call the Leibniz-Cayley (LC) system– without having to make use of the more expressive and complex machinery of first-order (...) quantificational logic. In addition, we prove the classic categorical syllogisms again by a relational method –which we call the McColl-Ladd (ML) system– employing categorical relations studied by Hugh McColl and Christine Ladd. Finally, we show the connection of ML and LC with Boolean algebra, proving that ML is a consequence of LC, and that LC is a consequence of the Boolean lattice axioms, thus establishing Leibniz’s historical priority over George Boole in characterizing and applying (a sufficient fragment of) Boolean algebra to effectively tackle categorical syllogistic. (shrink)

In their Why Machines Will Never Rule the World, Landgrebe and Smith (2023) argue that it is impossible for artificial general intelligence (AGI) to succeed, on the grounds that it is impossible to perfectly model or emulate the “complex” “human neurocognitive system”. However, they do not show that it is logically impossible; they only show that it is practically impossible using current mathematical techniques. Nor do they prove that there could not be any other kinds of theories than those in (...) current use. Even if perfect theories were impossible or unlikely, perfection may not be needed and may even be unhelpful. (shrink)

This précis summarizes the main topics, arguments and conclusions of the book. Many interesting arguments and critiques have, of course, been omitted in order to make this summary appropriately brief.

The sense of form that provides the modern poet with a unique experience of the literary object has been crucial to various attempts to compare poetry to other cultural activities. In maintaining similar conceptions of the relationship between poetry and painting, Arthur Rimbaud and W. C. Williams establish a common basis for interpreting their creative work. And yet their poetry is more crucially concerned with the sudden emergence of visible "worlds" containing verbal objects that integrate a new kind of literary (...) text. This paper discusses the emergence of "aesthetic worlds" in the work of both poets and then examines how a common concern with Baroque form unites them in the phenomenological task of overcoming Cartesian dualism. (shrink)

This chapter is a substantially expanded version of (and so substantially supersedes) “Words Fail Me. (Stanley Cavell’s Life Out of Music)” that appeared in Inheriting Stanley Cavell: Memories, Dreams, Reflections (Bloomsbury, 2020). It offers to read Cavell’s claim that “philosophy, of a certain ambition, tends perpetually to intersect the autobiographical.” Its guiding thought is that a life that finds a home in philosophy from out of its devotion to music (as is true of, among others, Rousseau, Nietzsche, and Wittgenstein, all (...) philosophers Cavell wrote about and cared about) will take on a certain character. In Cavell’s case, his distinctive orientation in philosophy—call this his lifelong coming to terms with his abandoning a life in music—is guided in part by (1) an interest in those moments in experience where words seem to run out, or veer toward nonsense, leaving in their wake touchstones of ecstasy; and (2) an interest in the education of the senses, without which interest we risk their starvation. These twin claims are illustrated through an interweaving of remarks and reminiscences of Cavell on music that culminate in a reading of his last published pieces devoted to music, primarily “Impressions of Revolution.”. (shrink)

Gerald Gaus argued in his 1996 book Justificatory Liberalism that proponents of public reason liberalism should attempt to ground their position in a specific epistemology. Critics of public reason liberalism such as David Enoch have also argued that public reason liberals need to elucidate their epistemic claims. Surprisingly, few public reason liberals have taken up Gaus and Enoch on their challenge. This paper will interact with the epistemological position undergirding the public justification principle, access internalism, arguing that it fails. In (...) its place, I put forward and defend proper functionalism as the better grounding epistemology, and then defend the new theory from possible objections. The result will be a synthesis of Nicholas Wolterstorff’s version of liberalism and an externalist version of convergence public reason liberalism. (shrink)

Evidentialists say that a necessary condition of sound epistemic reasoning is that our beliefs reflect only our evidence. This thesis arguably conflicts with standard Bayesianism, due to the importance of prior probabilities in the latter. Some evidentialists have responded by modelling belief-states using imprecise probabilities (Joyce 2005). However, Roger White (2010) and Aron Vallinder (2018) argue that this Imprecise Bayesianism is incompatible with evidentialism due to “inertia”, where Imprecise Bayesian agents become stuck in a state of ambivalence towards hypotheses. Additionally, (...) escapes from inertia apparently only create further conflicts with evidentialism. This dilemma gives a reason for evidentialist imprecise probabilists to look for alternatives without inertia. I shall argue that Henry E. Kyburg’s approach offers an evidentialist-friendly imprecise probability theory without inertia, and that its relevant anti-inertia features are independently justified. I also connect the traditional epistemological debates concerning the “ethics of belief” more systematically with formal epistemology than has been hitherto done. (shrink)

Kit Fine’s logic of essence and his reduction of modality crucially rely on a principle called the ‘monotonicity of essence’. This principle says that for all pluralities, xx and yy, if some xx belong to some yy, then if it is essential to xx that p, it is also essential to yy that p. I argue that on the constitutive notion of essence, this principle is false. In particular, I show that this principle is false because it says that some (...) propositions are essential to yy even though those propositions are only about some of its members. I then consider modifications to the principle appealing to consequential essence and argue that such a modification is inconsistent with a central. (shrink)

The hard problem of consciousness has held center stage in the philosophy of mind for the past two decades. It claims that the phenomenal character of conscious experiences—what it’s like to be in them—cannot be explained by appeal to the operation of physiological subsystems. The hard problem arises, however, only given the assumption that hylomorphism is false. Hylomorphism claims that structure is a basic ontological and explanatory principle. A human is not a random collection of physical materials, but an individual (...) composed of physical materials with a structure that accounts for what it is and what it can do—the powers it has. What is true of humans is true of their activities as well. The latter are not random physiological changes, but structured ones: we engage in them by coordinating the ways our parts manifest their powers. Structured activities include perceptual experiences. Consequently, everything about a perceptual experience, including its phenomenal character, can be explained by describing the perceiver’s perceptual subsystems, the powers of those subsystems, and the coordination that unifies their activities into the activity of the perceiver as a whole. Conscious experiences thus fit unproblematically into the natural world—just as unproblematically as the phenomenon of life. Even exponents of the hard problem of consciousness agree that there is no hard problem of life. Consequently, if hylomorphism is true, there can be no hard problem of consciousness. To insist that there is such a problem, then, is implicitly to reject hylomorphism. The concept of consciousness that motivates the hard problem is as much a theoretical construct, therefore, as the concept of life that motivates an obstinate vitalist. (shrink)

In this paper, I argue that although Kant’s account of empirical schemata in the Critique of Pure Reason is primarily used to explain the shared content of intuitions and empirical concepts, it is also informed by methodological problems in natural history. I argue that empirical schemata, which are rules for determining the spatiotemporal form of objects, not only serve to connect individual intuitions with concepts, but also concern the very features of objects on the basis of which they were connected (...) and ordered in taxonomic systems based on similarity of form. I then suggest that Kant likely had scientific illustrations in mind in his discussion of empirical images in the Schematism chapter and that his account of schemata can help explain the epistemic function of these images in early modern science. (shrink)

A uniform theory of conditionals is one which compositionally captures the behavior of both indicative and subjunctive conditionals without positing ambiguities. This paper raises new problems for the closest thing to a uniform analysis in the literature (Stalnaker, Philosophia, 5, 269–286 (1975)) and develops a new theory which solves them. I also show that this new analysis provides an improved treatment of three phenomena (the import-export equivalence, reverse Sobel-sequences and disjunctive antecedents). While these results concern central issues in the study (...) of conditionals, broader themes in the philosophy of language and formal semantics are also engaged here. This new analysis exploits a dynamic conception of meaning where the meaning of a symbol is its potential to change an agent’s mental state (or the state of a conversation) rather than being the symbol’s content (e.g. the proposition it expresses). The analysis of conditionals is also built on the idea that the contrast between subjunctive and indicative conditionals parallels a contrast between revising and consistently extending some body of information. (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.

Many accounts of structural rationality give a special role to logic. This paper reviews the problem case of clear-eyed logical uncertainty. An account of rational norms on belief that does not give a special role to logic is developed: doxastic probabilism.

In his recent book, John Norton has created a theory of inference to the best explanation, within the context of his "material theory of induction". I apply it to the problem of scientific explanations that are false: if we want the theories in our explanations to be true, then why do historians and scientists often say that false theories explained phenomena? I also defend Norton's theory against some possible objections.

This article proposes a new interpretation of mutual information. We examine three extant interpretations of MI by reduction in doubt, by reduction in uncertainty, and by divergence. We argue that the first two are inconsistent with the epistemic value of information assumed in many applications of MI: the greater is the amount of information we acquire, the better is our epistemic position, other things being equal. The third interpretation is consistent with EVI, but it is faced with the problem of (...) measure sensitivity and fails to justify the use of MI in giving definitive answers to questions of information. We propose a fourth interpretation of MI by reduction in expected inaccuracy, where inaccuracy is measured by a strictly proper monotonic scoring rule. It is shown that the answers to questions of information given by MI are definitive whenever this interpretation is appropriate, and that it is appropriate in a wide range of applications with epistemic implications. _1_ Introduction _2_ Formal Analyses of the Three Interpretations _2.1_ Reduction in doubt _2.2_ Reduction in uncertainty _2.3_ Divergence _3_ Inconsistency with Epistemic Value of Information _4_ Problem of Measure Sensitivity _5_ Reduction in Expected Inaccuracy _6_ Resolution of the Problem of Measure Sensitivity _6.1_ Alternative measures of inaccuracy _6.2_ Resolution by strict propriety _6.3_ Range of applications _7_ Global Scoring Rules _8_ Conclusion. (shrink)

In this paper, I argue that Kant has a far more communitarian theory of aesthetic life than is usually acknowledged. I focus on two aspects of Kant’s theory that might otherwise be taken to support an individualist reading, namely, Kant’s emphasis on aesthetic autonomy and his characterization of judgments of taste as involving demands for agreement. I argue that the full expression of autonomy in fact requires being a member of an aesthetic community and that within such a community, judgments (...) of taste are issued as invitations to others to engage their faculties towards the goal of shared aesthetic appreciation. (shrink)

This essay explores the creation and evolution of life and consciousness through the lens of a biological framework for understanding the universe. The theory posits that the patterns inherent in biological systems mirror the underlying mathematical principles of the cosmos. Thus, every pattern that manifests from the universe’s “parent-pattern” contains a fundamental biological-pattern inherent to its function, revealing the objective nature and purpose of that thing. Examples include the way ocean currents resemble a circulatory system and how socioeconomic phenomena mimic (...) cellular order. These correspondences suggest that life and consciousness are products of the universe’s biologically-patterned processes, and understanding these patterns is crucial for humanity's survival, especially as human society and environment becomes more complex—requiring a truer understanding of reality reality and how to organize themselves within it. The paper further argues that historical and philosophical concepts, such as Atman and Brahman in the Upanishads, Pnimiyut and Chitzoniyut in Kabbalah (Judaism), Batin and Zahir in Sufism (Islam), and many more align with this framework. The essay emphasizes that aligning human society with these biological patterns, as seen in biomimicry, is necessary for continued survival and harmony with the universe. The essay provides scientific studies and analogies supporting these ideas, illustrating how biological patterns are reflected across different domains of knowledge. (shrink)

William S. Lewis examines the contribution to philosophy of science made by Lefebvre, in the context of his membership of the French Communist Party.

In *Here and There*, Stanley Cavell suggests that music, like speech, implicates the listener, so that our descriptions of music "are to be thought of not as discoveries but as impressions and assignments of meaning." Such impressions express what "makes an impression upon us," "what truly matters to us." Moreover, this aspect of music "is itself more revolutionary than ... any political event of which it could be said to form a part." I offer one indication of that significance by (...) considering a recent challenge to an old claim about the relation between jazz and democracy. Stanley Crouch claims that jazz practice is an emblem of democracy, while Benjamin Givan observes the undemocratic, hierarchical way that jazz musicians work together. But both positions rest on a limited notion of "democracy." I contrast it to the tradition in political thought that requires each citizen to find their own voice if they're to acquire the ability to govern themselves. Consequently, a better emblem of jazz's democratic advance lies in the challenge it presents to the attentive listener. Jazz listening is increasingly characterized by a learned culture of hearing what isn't played, hearing allusions, hearing unspoken interplay. The nature of this "hearing between the lines" parallels the tradition of esoteric writing in the history of political thought. It suggests that jazz's democratic importance is found in the listener's willingness to give voice to what she hears, not knowing whether her experience is shared by others or whether it singles her out, possibly for skepticism or ridicule. (shrink)

There are two distinct approaches to Bayesian modelling in cognitive science. Black-box approaches use Bayesian theory to model the relationship between the inputs and outputs of a cognitive system without reference to the mediating causal processes; while mechanistic approaches make claims about the neural mechanisms which generate the outputs from the inputs. This paper concerns the relationship between these two approaches. We argue that the dominant trend in the philosophical literature, which characterizes the relationship between black-box and mechanistic approaches to (...) Bayesian cognitive science in terms of the dichotomy between instrumentalism and realism, is misguided. We propose that the two distinctions are orthogonal: black-box and mechanistic approaches to Bayesian modelling can each be given either an instrumentalist or a realist interpretation. We argue that the current tendency to conflate black-box approaches with instrumentalism and mechanistic approaches with realism stems from unwarranted assumptions about the nature of scientific explanation, the ontological commitments of scientific theories, and the role of abstraction and idealization in scientific models. We challenge each of these assumptions to reframe the debates over Bayesian modelling in cognitive science. (shrink)

Catalan translation, introductory study and notes on W. K. Clifford’s “The Ethics of Belief”. Published in Clifford, W.K. “L’ètica de la creença”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 129–150. // Catalan translation, introductory study and notes on William James’s “The Will to Believe”. Published in James, William. “La voluntat de creure”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 151–172. [Introductory study published in Oya, Alberto. “Introducció. El debat entre W. K. Clifford i (...) class='Hi'>William James”. Quaderns de Filosofia, vol. III, n. 2 (2016), pp. 123–127]. (shrink)

This essay disambiguates the relationship between phenomenology and explanation, whereby we uncover a fundamentally new way to understand the function of phenomenology within the sciences. These objectives are accomplished in two stages. First, we propose an original way to interpret Husserl's claim that his phenomenology is non-explanatory. We demonstrate, contra accepted interpretations, that Husserl did not think phenomenology is non-explanatory, because it is descriptive or because it does not deal with causes. Instead, we demonstrate that Husserl concluded that phenomenology is (...) non-explanatory, because it engages in a dialectical process of conceptual clarification. To substantiate this interpretation, we examine how Husserl understood the function of explanation in three different tiers of standard science and how he grasped the role of phenomenology in pure logic. Having properly clarified Husserl's conclusion—that phenomenology is non-explanatory—we then execute our second task, namely to challenge just that idea. We argue that Husserl has—despite his claims to the contrary—de facto and inadvertently described his phenomenology as an explanatory nomological science. Our paper therefore not only clears up a longstanding misinterpretation of Husserl, but opens a new area of debate concerning the status of phenomenology within the scientific nexus. (shrink)

In the Critique of Judgment, Kant claims that genius is a talent for art, but not for science. Despite his restriction of genius to the domain of fine art, several recent interpreters have suggested that genius has a role to play in Kant’s account of cognition in general and scientific practice in particular. In this paper, I explore Kant’s reasons for excluding genius from science as well as the reasons that one might nevertheless be tempted to think that his account (...) allows room for the scientific genius. I then argue that Kant’s concerns are not only epistemic, but also moral, and together, they give us good reason for resisting the veneration of genius. (shrink)

مدخل عن فلسفة جيل دولوز وفليكس غواتاري في الدولة والعنف.

Husserl’s early picture of explanation in the sciences has never been completely provided. This lack represents an oversight, which we here redress. In contrast to currently accepted interpretations, we demonstrate that Husserl does not adhere to the much maligned deductive-nomological (DN) model of scientific explanation. Instead, via a close reading of early Husserlian texts, we reveal that he presents a unificationist account of scientific explanation. By doing so, we disclose that Husserl’s philosophy of scientific explanation is no mere anachronism. It (...) is, instead, tenable and relevant. We discuss how Husserl and other contemporary thinkers draw theoretical inspiration from the same source—namely, Bernard Bolzano. Husserl’s theory of scientific explanation shares a common language and discusses the same themes as, for example, Phillip Kitcher and Kit Fine. To advance our novel reading, we discuss Husserl’s investigations of grounding, inter-lawful explanation, intra-mathematical explanation, and scientific unification. (shrink)

This article investigates the claim that some truths are fundamentally or really true — and that other truths are not. Such a distinction can help us reconcile radically minimal metaphysical views with the verities of common sense. I develop an understanding of the distinction whereby Fundamentality is not itself a metaphysical distinction, but rather a device that must be presupposed to express metaphysical distinctions. Drawing on recent work by Rayo on anti-Quinean theories of ontological commitments, I formulate a rigourous theory (...) of the notion. In the final sections, I show how this package dovetails with ' interpretationist' theories of meaning to give sober content to thought that some things — perhaps sets, or gerrymandered mereological sums — can be 'postulated into existence'. (shrink)

A standard line in the contemporary philosophical literature has it that physical theories are equivalent only when they agree on their empirical content, where this empirical content is often understood as being encoded in the equations of motion of those theories. In this article, we question whether it is indeed the case that the empirical content of a theory is exhausted by its equations of motion, showing that (for example) considerations of boundary conditions play a key role in the empirical (...) equivalence (or otherwise) of theories. Having argued for this, we show that philosophical claims made by Weatherall (2016) that electromagnetism in the Faraday tensor formalism is equivalent to electromagnetism in the vector potential formalism, and by Knox (2011) that general relativity is equivalent to teleparallel gravity, can both be called into question. We then show that properly considering the role of boundary conditions in theory structure can potentially restore these claims of equivalence and close with some remarks on the pragmatics of adjudications on theory identity. (shrink)

This essay explains Donald Hoffman's Interface Theory of Perception using The Biological Framework for a Mathematical Universe proposed by Ronald Williams. According to Hoffman, what we perceive is more like a “desktop interface with icons representing complex underlying processes, rather than a direct window into the true nature of the world." The theory of a biological framework for a mathematical universes suggests that these complex underlying processes of “the desktop interface with icons” contain correspondences to biological systems. For example, “the (...) desktop icons” of the ocean’s arctic currents and the melting and freezing of Antartica contain “complex underlying processes” which mirror the processes of a circulatory system and beating heart. While indeed we do interpret reality from a superficial perspective as Hoffman suggests, our cognitive abilities are enhanced enough to recognize correspondences to these patterns pertaining to these biological systems which reveal the true nature of the world/universe/reality and thus highlight our evolved perceptual systems which can enable us how to recognize these patterns and organize ourselves to them in order to best survive it. Another example of a “desktop icon” is human society—the order and properties of human society contain “complex underlying processes” that are analogous to the order and properties of cellular society—thus “socioeconomic problems” can be understood through cellular economic problems. Moreover, the solution to the cellular economic problem is the solution to the socioeconomic problem. (shrink)

As a retired professor, I join in the growing concerns among educators, and others, about plagiarism, especially now that AI tools like ChatGPT are so readily available. However, I feel more caution is needed, regarding temptations to rely on supposed automatic detection tools, like Turnitin, to solve the problems. Students can be unfairly accused if such tools are used unreflectingly. The Toronto Star's online version of this published Op Ed is available at the link shown below. The version attached here (...) is a pre-print, which also includes annotations for my references, which are not displayed in the published version. (shrink)

It is now well-known that Newton–Cartan theory is the correct geometrical setting for modelling the quantum Hall effect. In addition, in recent years edge modes for the Newton–Cartan quantum Hall effect have been derived. However, the existence of these edge modes has, as of yet, been derived using only orthodox methodologies involving the breaking of gauge-invariance; it would be preferable to derive the existence of such edge modes in a gauge-invariant manner. In this article, we employ recent work by Donnelly (...) and Freidel in order to accomplish exactly this task. Our results agree with known physics, but afford greater conceptual insight into the existence of these edge modes: in particular, they connect them to subtle aspects of Newton–Cartan geometry and pave the way for further applications of Newton–Cartan theory in condensed matter physics. (shrink)

Decisions are made under uncertainty when there are distinct outcomes of a given action, and one is uncertain to which the act will lead. Decisions are made under indeterminacy when there are distinct outcomes of a given action, and it is indeterminate to which the act will lead. This paper develops a theory of (synchronic and diachronic) decision-making under indeterminacy that portrays the rational response to such situations as inconstant. Rational agents have to capriciously and randomly choose how to resolve (...) the indeterminacy relevant to a given choice-situation, but such capricious choices once made constrain how they will choose in the future. The account is illustrated by the case of self-interested action in situations where it is indeterminate whether you yourself will survive to benefit or suffer the consequences. The conclusion emphasizes some distinctive anti-hedging predictions of the account. (shrink)

We argued that explanatoriness is evidentially irrelevant in the following sense: Let H be a hypothesis, O an observation, and E the proposition that H would explain O if H and O were true. Then our claim is that Pr = Pr. We defended this screening-off thesis by discussing an example concerning smoking and cancer. Climenhaga argues that SOT is mistaken because it delivers the wrong verdict about a slightly different smoking-and-cancer case. He also considers a variant of SOT, called (...) “SOT*”, and contends that it too gives the wrong result. We here reply to Climenhaga’s arguments and suggest that SOT provides a criticism of the widely held theory of inference called “inference to the best explanation”. (shrink)

This paper explores the evolution of consciousness and subjectivity through a biological framework for understanding the universe. It posits that functional patterns in biological systems mirror cosmic mathematical principles, defining our objective reality. Similar to wave and Fibonacci patterns in different physical phenomena, biological patterns are intrinsic to all things and can be quantified using Dedre Gentner’s approach to analogy. For example, Earth’s ocean currents and the melting and freezing of Antarctica resemble the circulatory system and heart, while the production (...) of music from instruments is analogous to ribosomal protein synthesis. Shelves, tables, and chairs function like cytosol by holding objects in space, and a coffee cup mirrors red blood cell distribution. These analogies reveal a universal order rooted in biology’s functional patterns, essential for shaping the emergence and evolution of life. The paper traces the development of consciousness from its rudimentary cellular states to complex human cognition, highlighting the role of biologically-patterned environments in driving evolutionary changes. Organisms that recognized and organized according to these patterns evolved as “pattern recognition engines” crucial for survival—thus, Life (survival) being the primary measure of consciousness. Humans advanced this capacity, gaining cognitive freedom by insulating themselves from environmental constraints, but faced increased subjectivity complexity. Consciousness, while inherently subjective and necessary for cognitive development, evolves in humans to understand objective reality and its biological nature, so to understand and navigate complexities of subjectivity. Ultimately, the paper asserts consciousness is the ability to recognize and adhere to life-sustaining patterns and principles. Successful adherence deems them worthy of continued existence, while failure leads to demise. Parallels with historical concepts like Atman and Brahman in Hinduism suggest ancient recognition of the correspondence between human and universal patterns. This ancient understanding, coupled with modern scientific evidence, reveals the interconnectedness and intrinsic biological nature of reality. (shrink)

Suppose that an altruistic agent who is uncertain between evidential and causal decision theory finds herself in a situation where these theories give conflicting verdicts. We argue that even if she has significantly higher credence in CDT, she should nevertheless act in accordance with EDT. First, we claim that the appropriate response to normative uncertainty is to hedge one's bets. That is, if the stakes are much higher on one theory than another, and the credences you assign to each of (...) these theories are not very different, then it is appropriate to choose the option that performs best on the high-stakes theory. Second, we show that, given the assumption of altruism, the existence of correlated decision makers will increase the stakes for EDT but leave the stakes for CDT unaffected. Together these two claims imply that whenever there are sufficiently many correlated agents, the appropriate response is to act in accordance with EDT. (shrink)

The harmonious free play of the imagination and understanding is at the heart of Kant’s account of beauty in the Critique of the Power of Judgement, but interpreters have long struggled to determine what Kant means when he claims the faculties are in a state of free play. In this article, I develop an interpretation of the free play of the faculties in terms of the freedom of attention. By appealing to the different way that we attend to objects in (...) aesthetic experience, we can explain how the faculties are free, even when the subject already possesses a concept of the object and is bound to the determinate form of the object in perception. (shrink)

Commentators of the judicial decisions of Justice Holmes have often situated the decisions inside the doctrines of freedom of expression and the rules and tests approach to legal analysis. This Paper situates his judgments in the context of a political theory. Drawing from his articles, lectures and correspondence, the Paper highlights Holmes’ reaction to the idealism and rationalism of the intellectual current before him. His view of human nature, conditioned by his war experience, is elaborated. The Paper especially examines his (...) theory of political struggle with the process-oriented view that the dominant social groups invariably become the political elite. The Paper then connects his theory of human nature to his legal doctrines, the role of the judiciary, the nature of the state, and a legal right. (shrink)

It is well known that the probabilistic relation of confirmation is not transitive in that even if E confirms H1 and H1 confirms H2, E may not confirm H2. In this paper we distinguish four senses of confirmation and examine additional conditions under which confirmation in different senses becomes transitive. We conduct this examination both in the general case where H1 confirms H2 and in the special case where H1 also logically entails H2. Based on these analyses, we argue that (...) the Screening-Off Condition is the most important condition for transitivity in confirmation because of its generality and ease of application. We illustrate our point with the example of Moore’s “proof” of the existence of a material world, where H1 logically entails H2, the Screening-Off Condition holds, and confirmation in all four senses turns out to be transitive. (shrink)

Critical Review of Searle's Minds, Brains and Science.

In this essay I argue the extent to which meaning and judgment in aesthetics figures in Wittgenstein’s later conception of language, particularly in his conception of how philosophy might go about explaining the ordinary functioning of language. Following a review of some biographical and textual matters concerning Wittgenstein’s life with music, I outline the connection among (1) Wittgenstein’s discussions of philosophical clarity or perspicuity, (2) our attempts to give clarity to our aesthetic experiences by wording them, and (3) the clarifying (...) experience of the dawning of an aspect, which Wittgenstein pictures as the perception of an internal relation. By examining Wittgenstein’s use of “internal relation” from the Tractatus to his later writings, I come to challenge the still prevalent understanding of Wittgenstein’s appeals to grammar as an appeal to something given (e.g., to a set of grammatical rules). Instead, as I argue, Wittgensteinian appeals to grammatical criteria should be understood as modeled by the form of justification found in our conversations about art. (shrink)

In this paper, I examine the role of attention in Kant’s aesthetic theory in the Critique of the Power of Judgment. While broadly Kantian aestheticians have defended the claim that there is a distinct way that we attend to objects in aesthetic experience, Kant himself is not usually acknowledged as offering an account of aesthetic attention. On the basis of Kant’s more general account of attention in other texts and his remarks on attention in the Critique of the Power of (...) Judgment, I reconstruct Kant’s account of aesthetic attention. On this account, aesthetic attention is simultaneously directed at the form of an object and at the judging subject’s own mental states as she attends to the object. In the experience of beauty, we specifically attend to the harmonious relation between the faculties of imagination and understanding. (shrink)

Mereonominalism, holonominalism, and part-whole realism represent competing views on the metaphysics of parts and wholes. Mereonominalism claims that what parts exist is a function of the concepts we use in describing composite wholes. Holonominalism claims that what composite wholes exist is a function of the concepts we use in describing things that can qualify as parts. Part-whole realism claims that parts and wholes exist independent of our concepts. I argue that all three views face problems, but that the problem facing (...) part-whole realism can be solved by adopting a version of hylomorphism that takes its cue from Aristotle’s account of form. (shrink)

The theory proposing a biological framework for a mathematical universe hypothesis posits that biological patterns define the fundamental nature of reality. These biological patterns are initially hidden from view, but can only be unveiled and understood through the knowledge of biology’s patterns and structurally mapping correspondences from the biological domain to a target domain. This perspective aligns with the ideas establishing perennial wisdom, a concept that encompasses universal and timeless spiritual truths found across various traditions. By exploring the parallels between (...) perennial wisdom's core ideas and the theory of a biological universe, we can assert that the mystical concepts of Pnimiyut and Chitzoniyut from Kabbalah may have been attempting to express the underlying principles surrounding a biological universe. In this essay, we will delve into the concepts of Pnimiyut and Chitzniyut and their potential connection to the biological nature of the universe. (shrink)

An overview of the ancient philosophers and their philosophical system (divided into the fields of logic, physics, and ethics) comprising the living, organic, enduring, and evolving body of interrelated ideas identifiable as the Stoic perspective.

The question of the cognitive role of fictionality is this: what is the correct cognitive attitude to take to p, when it is fictional that p? We began by considering one answer to this question, implicit in the work of Kendall Walton, that the correct response to a fictional proposition is to imagine that proposition. However, this approach is silent in cases of fictional incompleteness, where neither p nor its negation are fictional. We argue that that Waltonians should embrace a (...) pluralistic account of the cognitive role of fictional incompleteness: in some cases of fictional incompleteness, we are permitted to resolve the incompleteness during our engagement with the target fiction, and in other cases, we are obliged not to resolve the incompleteness. But though pluralism is accommodated by Walton’s wider account of fictionality, it puts tension on his motivating idea that fictionality stands to the imagination as truth stands to belief. And so we develop a rival conception of the cognitive role of fictionality that is built around a different analogy: on this evidentialist approach, (known) fictionality stands to the imagination as evidence stands to credence. (shrink)

We must, therefore, make a study of mechanism; but some introduction is advisable, for cybernetics treats the subject from a new, and therefore unusual, ...

Information can be public among a group. Whether or not information is public matters, for example, for accounts of interdependent rational choice, of communication, and of joint intention. A standard analysis of public information identifies it with (some variant of) common belief. The latter notion is stipulatively defined as an infinite conjunction: for p to be commonly believed is for it to believed by all members of a group, for all members to believe that all members believe it, and so (...) forth. This analysis is often presupposed without much argument in philosophy. Theoretical entrenchment or intuitions about cases might give some traction on the question, but give little insight about why the identification holds, if it does. The strategy of this paper is to characterize a practical-normative role for information being public, and show that the only things that play that role are (variants of) common belief as stipulatively characterized. In more detail: a functional role for “taking a proposition for granted” in non-isolated decision making is characterized. I then present some minimal conditions under which such an attitude is correctly held. The key assumption links this attitude to beliefs about what is public. From minimal a priori principles, we can argue that a proposition being public among a group entails common commitment to believe among that group. Later sections explore partial converses to this result, the factivity of publicity and publicity from the perspective of outsiders to the group, and objections to the aprioricity of the result deriving from a posteriori existential presuppositions. (shrink)