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.

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)

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)

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)

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)

John Maynard Keynes’s A Treatise on Probability is the seminal text for the logical interpretation of probability. According to his analysis, probabilities are evidential relations between a hypothesis and some evidence, just like the relations of deductive logic. While some philosophers had suggested similar ideas prior to Keynes, it was not until his Treatise that the logical interpretation of probability was advocated in a clear, systematic and rigorous way. I trace Keynes’s influence in the philosophy of probability through a heterogeneous (...) sample of thinkers who adopted his interpretation. This sample consists of Frederick C. Benenson, Roy Harrod, Donald C. Williams, Henry E. Kyburg and David Stove. The ideas of Keynes prove to be adaptable to their diverse theories of probability. My discussion indicates both the robustness of Keynes’s probability theory and the importance of its influence on the philosophers whom I describe. I also discuss the Problem of the Priors. I argue that none of those I discuss have obviously improved on Keynes’s theory with respect to this issue. (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)

Jeff Paris proves a generalized Dutch Book theorem. If a belief state is not a generalized probability then one faces ‘sure loss’ books of bets. In Williams I showed that Joyce’s accuracy-domination theorem applies to the same set of generalized probabilities. What is the relationship between these two results? This note shows that both results are easy corollaries of the core result that Paris appeals to in proving his dutch book theorem. We see that every point of accuracy-domination defines a (...) dutch book, but we only have a partial converse. (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)

The norms of simplicity, convenience, unfussiness, and self-control guide Diogenes the Cynic, Zeno of Citium, Chrysippus, Seneca, Musonius Rufus, Epictetus, and Marcus Aurelius in approaching food. These norms generate the precept that meat and dainties are luxuries, so Stoics should eschew them. Considerations of justice, environmental harm, anthropogenic global climate change, sustainability, food security, feminism, harm to animals, personal health, and public health lead contemporary Stoics to condemn the meat industrial complex, debunk carnism, and select low input, plant-based foods.

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.

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)

A representationalist-friendly introduction to representationalism which covers a number of central problems and objections.

Although the Evans argument against vague identity has been much discussed, proposah for blocking it have not so far satisfied general conditions which any solution ought to meet. Moreover, the relation between ontically vague identity and ontic vagueness more generally has not yet been satisfactorily addressed. I advocate a way of resisting the Evans argument which satisfies the conditions. To show how this approach can vindicate particular cases of ontically vague identity, I develop a framework for describing ontic vagueness in (...) general in terms of multiple actualities. This provides aprìncipled approach to ontically vague identity which is unaffected by the Evans argument. (shrink)

Although the commentary on Aristotle’s problematic discussion of slavery is vast, his discussion of nobility receives little attention. The fragments of his dialogue On Noble Birth constitute his most extensive examination of nobility, and while their similarity to the παμβασιλεύς of the Politics has recently been recognized, their relevance to natural slavery has hitherto gone unnoticed. Yet by declaring that true nobles – particularly the god-like ἀρχηγός – preternaturally possess superhuman characteristics, Aristotle precludes their easy inclusion in the kind “human” (...) in a manner inversely mirroring the preternatural subhumanity of natural slaves. Building on recent scholarship which argues that Aristotle’s “defense” of natural slaves is better understood as an indictment, On Noble Birth becomes most coherent if read as a hypothetical investigation into what would be required for “nobility” to name something true rather than equivocal, with the conclusion that “true nobility” is an empty set. (shrink)

Is there some general reason to expect organisms that have beliefs to have false beliefs? And after you observe that an organism occasionally occupies a given neural state that you think encodes a perceptual belief, how do you evaluate hypotheses about the semantic content that that state has, where some of those hypotheses attribute beliefs that are sometimes false while others attribute beliefs that are always true? To address the first of these questions, we discuss evolution by natural selection and (...) show how organisms that are risk-prone in the beliefs they form can be fitter than organisms that are risk-free. To address the second question, we discuss a problem that is widely recognized in statistics – the problem of over-fitting – and one influential device for addressing that problem, the Akaike Information Criterion (AIC). We then use AIC to solve epistemological versions of the disjunction and distality problems, which are two key problems concerning what it is for a belief state to have one semantic content rather than another. (shrink)

Artykuł, opublikowany po raz pierwszy w 1979 r., jest jednym z najczęściej cytowanych tekstów filozoficznych z drugiej połowy XX wieku. Tekst Bernarda Williamsa zainicjował kilka ważnych debat, toczących się do dziś w etyce i filozofii działania. Zaproponowana przez niego interpretacja pojęcia racji działania jest, z jednej strony, niezwykle wpływowa, ale z drugiej bardzo niejednoznaczna i często krytykowana. Williams broni stanowiska, które z czasem zaczęto określać jako internalizm racji: pewne względy są racjami działania dla danego podmiotu tylko wtedy, gdy mają ścisły (...) związek z "subiektywnym układem motywacyjnym" tego podmiotu, czyli z jakimiś aspektami jego psychiki, charakteru, celów, pragnień, planów, relacji z innymi itd. Stwierdzenie, że ktoś ma rację, by coś zrobić (a jeśli uznajemy, że jest to racja przeważająca - to, że powinien to coś zrobić), znaczy więc wedle tego stanowiska tyle, że ten ktoś jest w stanie być motywowany, by to coś zrobić. W przeciwieństwie do tego stanowisko określane obecnie ako eksternalizm racji głosi, że pewne względy mogą być racjami działania dla danego podmiotu także wtedy, gdy odwołują się do niezależnych od jego układu motywacyjnego własności świata. Williams wychodzi od modelu działania nawiązującego do koncepcji Hume'owskiej, następnie przedstawia jego bardziej rozbudowaną wersję, omawia rolę namysłu, naturę potrzeb, a także przedstawia argument za internalizmem racji, określany jako argument z wyjaśniania działania. Głosi on, że nawet gdyby istniały zewnętrzne racje działania, niezwiązane z subiektywnym układem motywacyjnym danego podmiotu, to odwołanie się do nich nie byłoby w stanie wyjaśnić, dlaczego dany podmiot postąpił tak, a nie inaczej, gdyż "nic nie jest w stanie wyjaśnić (zamierzonych) działań podmiotu za wyjątkiem czegoś, co motywuje go działania". (shrink)

مدخل عن فلسفة جيل دولوز وفليكس غواتاري في الدولة والعنف.

Lewis (1973) gave a short argument against conditional excluded middle, based on his treatment of ‘might’ counterfactuals. Bennett (2003), with much of the recent literature, gives an alternative take on ‘might’ counterfactuals. But Bennett claims the might-argument against CEM still goes through. This turns on a specific claim I call Bennett’s Hypothesis. I argue that independently of issues to do with the proper analysis of might-counterfactuals, Bennett’s Hypothesis is inconsistent with CEM. But Bennett’s Hypothesis is independently objectionable, so we should (...) resolve this tension by dropping the Hypothesis, not by dropping CEM. (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)

Worlds where things divide forever ("gunk" worlds) are apparently conceivable. The conceivability of such scenarios has been used as an argument against "nihilist" or "near-nihilist" answers to the special composition question. I argue that the mereological nihilist has the resources to explain away the illusion that gunk is possible.

It is widely thought in philosophy and elsewhere that parsimony is a theoretical virtue in that if T1 is more parsimonious than T2, then T1 is preferable to T2, other things being equal. This thesis admits of many distinct precisifications. I focus on a relatively weak precisification on which preferability is a matter of probability, and argue that it is false. This is problematic for various alternative precisifications, and even for Inference to the Best Explanation as standardly understood.

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)

Turner argues that computer programs must have purposes, that implementation is not a kind of semantics, and that computers might need to understand what they do. I respectfully disagree: Computer programs need not have purposes, implementation is a kind of semantic interpretation, and neither human computers nor computing machines need to understand what they do.

The ancient Stoics believed that virtue is the only true good and as such both necessary and sufficient for happiness. Accordingly, they classified food as among the things that are neither good nor bad but "indifferent." These "indifferents" included health, illness, wealth, poverty, good and bad reputation, life, death, pleasure, and pain. How one deals with having or lacking these things reflects one’s virtue or vice and thus determines one’s happiness or misery. So, while the Stoics held that food in (...) itself contributes nothing to a person’s happiness, how one obtains, prepares, and serves it, and both what and how one eats, all reveal a person’s character as good or bad. Thus, understanding the purpose of food, the necessity of frugality, and the virtue of temperance are all important in Stoicism. This paper traces the ethical views on food from Zeno of Citium and Chrysippus to Seneca, Musonius Rufus, Epictetus, and Marcus Aurelius. They agree that the wise and temperate know that simple, inexpensive foods in moderate amounts produced locally are easy to get and prepare, healthy for the body, and good for the mind. Thus, Stoicism dictates frugality of diet and the rejection of ambitious eating, gluttony, luxuries, delicacies, and gustatory extravagance. Some Stoics favor vegetarianism. All Stoics think it wise to limit eating and drinking to strict bodily need and to eradicate all food anxieties. (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)

Joyce (1998) gives an argument for probabilism: the doctrine that rational credences should conform to the axioms of probability. In doing so, he provides a distinctive take on how the normative force of probabilism relates to the injunction to believe what is true. But Joyce presupposes that the truth values of the propositions over which credences are defined are classical. I generalize the core of Joyce’s argument to remove this presupposition. On the same assumptions as Joyce uses, the credences of (...) a rational agent should always be weighted averages of truth value assignments. In the special case where the truth values are classical, the weighted averages of truth value assignments are exactly the probability functions. But in the more general case, probabilistic axioms formulated in terms of classical logic are violated—but we will show that generalized versions of the axioms formulated in terms of non-classical logics are satisfied. (shrink)

In this article we challenge the notion that diversity serves as a good proxy for educational justice. First, we maintain that the story about how diversity might be accomplished and what it might do for students and society is internally inconsistent. Second, we argue that a disproportionate share of the benefits that might result from greater diversity often accrues to those already advantaged. Finally, we propose that many of the most promising and pragmatic remedies for educational injustice are often rejected (...) by liberal proponents of “diversity first” in favor of remedies that in most cases are practically impossible, and often problematic on their own terms. We argue that schools that are by geography and demography not ethnically or socioeconomically diverse still can successfully confront the obstacles that their students face in creating a life they have reason to value. (shrink)

This essay considers what it means to understand natural language and whether a computer running an artificial-intelligence program designed to understand natural language does in fact do so. It is argued that a certain kind of semantics is needed to understand natural language, that this kind of semantics is mere symbol manipulation (i.e., syntax), and that, hence, it is available to AI systems. Recent arguments by Searle and Dretske to the effect that computers cannot understand natural language are discussed, and (...) a prototype natural-language-understanding system is presented as an illustration. (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 number of important religious views entail that the ontological and epistemic relations between religion and morality are tighter than most secular thinkers suppose. We will focus on three theistic metaethical accounts of moral phenomena and moral knowledge: natural law theories, divine command theories, and divine will theories. These three types of accounts are among the most dominant in the philosophical literature on theistic ethics in contemporary anglophone philosophy, perhaps owing to their connection to major Western religions such as Christianity, (...) Islam, and Judaism. It is important to note, however, that they hardly exhaust the conceptual space. Intellectual traditions of other religions such as Hinduism, Buddhism, Sikhism, traditional Chinese religions, and African religions raise distinct philosophical questions about and offer a host of alternative views on the relationship between religion and morality (Jeffrey 2019). We close by offering a few such examples, though it is outside the scope of this chapter to provide a comprehensive survey of available views. (shrink)

This chapter explains how mindmelding — the direct experience by one person of another's conscious states — is in fact possible. The temporal lobes causally interact with the prefrontal lobes by way of fiber bundles that run underneath the cortical surface. This provides the perfect first experiment in mindmelding: to ‘branch’ those fiber bundles and run the other end into the brain of another person. Evidence is provided that these bundles have close connections to consciousness, in that whatever affects them (...) has immediate effects on consciousness. Then, before responding to several objections, the chapter considers another issue brought up by these experiments — the question of the relation between mindmelding and mindreading. Is mindmelding similar to mindreading? Does the existence of a mindreading system help us achieve mindmelding? (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.

This chapter presents the following hypothesis: There is a perfectly sensible conception of the mind, consciousness, the self, what we mean by ‘I,’ how we perceive and know, and how we remember and decide, all of which cohere amongst one another as well as with what we know about the brain, according to which it is possible for one person to experience directly the conscious states of another person. Not only can one person be directly aware of the conscious states (...) of another person, he can be more aware of them than their original owner. He can even be aware of them when their original owner will never be aware of them. Mindmelding is possible, and this possibility removes much of the force from the mind-body problem by removing the impasse caused by the belief in privacy. It removes what some philosophers saw as a need to posit strange metaphysical categories. The subject's sense of self can be separated from the object of her conscious awareness which can be bound to another's sense of self. (shrink)

This article examines one of the sources of David Benatar’s anti-natalism. This is the view that ‘all procreation is [morally] wrong.’ (Benatar and Wasserman, 2015:12) One of its sources is the claim that each of our lives is objectively bad, hence bad whether we think so or not. The question I will pose is whether the constraints of metaphysical naturalism allow for an objective devaluation of human life sufficiently negative to justify anti-natalism. My thesis is that metaphysical naturalism does not (...) have the resources to support such a negative evaluation. Metaphysical naturalism is the view that causal reality is exhausted by nature, the space-time system and its contents. The gist of my argument is that the ideal standards relative to which our lives are supposed to be axiologically substandard cannot be merely subjective expressions of our desires and aversions; they must be (i) objectively binding standards that are (ii) objectively possible in the sense of concretely realizable. The realizability condition, however, cannot be satisfied on metaphysical naturalism; ergo, failure to meet these ideal standards cannot show that our lives are objectively bad. (shrink)

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.

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)

This paper proposes a semantics for free choice permission that explains both the non-classical behavior of modals and disjunction in sentences used to grant permission, and their classical behavior under negation. It also explains why permissions can expire when new information comes in and why free choice arises even when modals scope under disjunction. On the proposed approach, deontic modals update preference orderings, and connectives operate on these updates rather than propositions. The success of this approach stems from its capacity (...) to capture the difference between expressing the preferences that give rise to permissions and conveying propositions about those preferences. (shrink)

Many philosophers argue that Keynes’s concept of the “weight of arguments” is an important aspect of argument appraisal. The weight of an argument is the quantity of relevant evidence cited in the premises. However, this dimension of argumentation does not have a received method for formalisation. Kyburg has suggested a measure of weight that uses the degree of imprecision in his system of “Evidential Probability” to quantify weight. I develop and defend this approach to measuring weight. I illustrate the usefulness (...) of this measure by employing it to develop an answer to Popper’s Paradox of Ideal Evidence. (shrink)

This article focuses on the positive reasons for adopting epiphenomenalism. Some objections that have been answered in more detail in my other work receive some response here, but the main point is to see why epiphenomenalism is an attractive view for those with a generally naturalistic outlook. It distinguishes qualitative events from propositional states and explains why their treatment must be different. The view that our words must 'express our thoughts' is critically examined.

In the literature on supervaluationism, a central source of concern has been the acceptability, or otherwise, of its alleged logical revisionism. I attack the presupposition of this debate: arguing that when properly construed, there is no sense in which supervaluational consequence is revisionary. I provide new considerations supporting the claim that the supervaluational consequence should be characterized in a ‘global’ way. But pace Williamson (1994) and Keefe (2000), I argue that supervaluationism does not give rise to counterexamples to familiar inference-patterns (...) such as reductio and conditional proof. (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)

In this paper, I propose a novel interpretation of the role of the understanding in generating the unity of space and time. On the account I propose, we must distinguish between the unity that belongs to determinate spaces and times – which is a result of category-guided synthesis and which is Kant’s primary focus in §26 of the B-Deduction, including the famous B160–1n – and the unity that belongs to space and time themselves as all-encompassing structures. Non-conceptualist readers of Kant (...) have argued that this latter unity cannot be the product of categorial synthesis. While they are correct that this unity is not the product of any particular act of category-guided synthesis, I argue that conceptualists are right to nevertheless attribute this unity to the understanding. I argue that it is a result of what we can think of as the ‘original’ synthesis of understanding and sensibility themselves – it is a synthesis, moreover, in which the whole is logically prior to the parts. (shrink)

We develop and apply a multi-dimensional account of explanatory depth towards a comparative analysis of inflationary and bouncing paradigms in primordial cosmology. Our analysis builds on earlier work due to Azhar and Loeb (2021) that establishes initial conditions fine-tuning as a dimension of explanatory depth relevant to debates in contemporary cosmology. We propose dynamical fine-tuning and autonomy as two further dimensions of depth in the context of problems with instability and trans-Planckian modes that afflict bouncing and inflationary approaches respectively. In (...) the context of the latter issue, we argue that the recently formulated trans-Planckian censorship conjecture leads to a trade-off for inflationary models between dynamical fine-tuning and autonomy. We conclude with the suggestion that explanatory preference with regard to the different dimensions of depth is best understood in terms of differing attitudes towards heuristics for future model building. (shrink)

Probabilistic support is not transitive. There are cases in which x probabilistically supports y , i.e., Pr( y | x ) > Pr( y ), y , in turn, probabilistically supports z , and yet it is not the case that x probabilistically supports z . Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x , y , and z , if Pr( y | x ) > Pr( y (...) ), Pr( z | y ) > Pr( z ), and the condition in question is satisfied, then Pr( z | x ) > Pr( z ). I argue for a second and weaker condition for transitivity in probabilistic support. This condition, or the principle involving it, makes it easier (than does the condition Shogenji provides) to establish claims of probabilistic support, and has the potential to play an important role in at least some areas of philosophy. (shrink)

The disjunction problem and the distality problem each presents a challenge that any theory of mental content must address. Here we consider their bearing on purely probabilistic causal theories. In addition to considering these problems separately, we consider a third challenge—that a theory must solve both. We call this “the hard problem.” We consider 8 basic ppc theories along with 240 hybrids of them, and show that some can handle the disjunction problem and some can handle the distality problem, but (...) none can handle the hard problem. This is our main result. We then discuss three possible responses to that result, and argue that though the first two fail, the third has some promise. (shrink)