Weak enough relevant logics are often closed under depth substitutions. To determine the breadth of logics with this feature, we show there is a largest sublogic of R closed under depth substitutions and that this logic can be recursively axiomatized.

Formal symptoms of relevance usually concern the propositional variables shared between the antecedent and the consequent of provable conditionals. Among the most famous results about such symptoms are Belnap’s early results showing that for sublogics of the strong relevant logic R, provable conditionals share a signed variable between antecedent and consequent. For logics weaker than R stronger variable sharing results are available. In 1984, Ross Brady gave one well-known example of such a result. As a corollary to the main result (...) of the paper, we give a very simple proof of a related but strictly stronger result. (shrink)

In this paper we introduce a novel way of building arithmetics whose background logic is R. The purpose of doing this is to point in the direction of a novel family of systems that could be candidates for being the infamous R#1/2 that Meyer suggested we look for.

I present a version of Kit Fine's stratified semantics for the logic RWQ and define a natural family of related structures called RW hyperdoctrines. After proving that RWQ is sound with respect to RW hyperdoctrines, we show how to construct, for each stratified model, a hyperdoctrine that verifies precisely the same sentences. Completeness of RWQ for hyperdoctrinal semantics then follows from completeness for stratified semantics, which is proved in an appendix. By examining the base category of RW hyperdoctrines, we find (...) reason to be worried about the ontology of stratified models. (shrink)

Here's the thing: when you look at it from just the right angle, it's entirely obvious how semantics for second-order relevant logics ought to go. Or at least, if you've understood how semantics for first-order relevant logics ought to go, there are perspectives like this. What's more is that from any such angle, the metatheory that needs doing can be summed up in one line: everything is just as in the first-order case, but with more indices. Of course, it's no (...) small matter finding the magical angle from which everything becomes obvious. And even having found this perspective, one cannot assume one's audience will find things as obvious as oneself. All that to say this: if the results in the paper below strike you as obvious, pay attention to the perspective that makes that possible. And if they don't, feel free to ignore this preamble in its entirety. (shrink)

We criticize the classical evidentialist approach to religious epistemology as articulated by John DePoe from the perspective of phenomenal conservatism.

It is still a live question in epistemology and philosophy of science as to what exactly evidence is. In my view, evidence consists in experiences called “seemings.” This view is a version of the phenomenal conception of evidence, the position that evidence consists in nonfactive mental states with propositional content. This conception is opposed by sense-data theorists, disjunctivists, and those who think evidence consists in physical objects or publicly observable states of affairs—call it the courtroom conception of evidence. Thomas Kelly (...) has recently argued that the phenomenal conception cannot play all the roles evidence plays and is thus inadequate. Having first explained the nature of seemings, in this essay I utilize Kelly’s own understanding of the four major roles of evidence and argue that the phenomenal conception can play each one. Experience is a good candidate for evidence. (shrink)

In this paper, I will analyze Rawad El Skaf’s (2017 & 2021) account of thought experiments (TEs) in physics. I will argue that El Skaf’s account is strengthened by taking on Amy Kind’s (2016 & 2018) constraints-based approach to the imagination, which highlights the epistemic significance of imaginative processes. First, I will present El Skaf’s step-by-step structure of TEs wherein he discusses their form, content, and epistemic function. Second, I will explain a canonical TE in physics known as the clock-in-the-box. (...) In turn, I will lay out El Skaf’s analysis of the clock-in-the-box TE. Then, I will present Amy Kind’s constraints-based approach to the imagination. I will then offer three critiques of El Skaf’s account and suggest that each critique is resolved by applying a constraints-based approach to his view. Once the hybrid view is laid out, I will discuss incompatible constraints on the imagination, which I call the home and away constraints. I will argue that a thought experimenter (TEer) may overcome this incompatibility by transforming away constraints into home constraints via metaphor. Lastly, I will argue that physics TEs are special since it is an essential feature of theirs that they ask the TEer to consider incompatible constraints on the imagination. (shrink)

For some years now, Michael Bergmann has urged a dilemma against internalist theories of epistemic justification. For reasons I explain below, some epistemologists have thought that Michael Huemer’s principle of Phenomenal Conservatism can split the horns of Bergmann’s dilemma. Bergmann has recently argued, however, that PC must inevitably, like all other internalist views, fall prey to his dilemma. In this paper, I explain the nature of Bergmann’s dilemma and his reasons for thinking that PC cannot escape it before arguing that (...) he is mistaken: PC can indeed split its horns. (shrink)

Consider the set of inferences that are acceptable to use in all our theory building endeavors. Call this set of inferences the universal theory building toolkit, or just ’the toolkit’ for short. It is clear that the toolkit is tightly connected to logic in a variety of ways. Beall, for example, has argued that logic just is the toolkit. This paper avoids making a stand on that issue and instead investigates reasons for thinking that, logic or not, the toolkit is (...) substructural. It is presented as a dialogue for the simple reason that it summarizes a range of dialogues on this subject that the author has had with various folks over the past few years. The method I use to investigate the toolkit is inspired in both philosophical and technical details by Alasdair Urquhart’s work on semantics for relevance logics from the early 1970s. (shrink)

What is the role of affect in moral epistemology? Sentimentalists assert that moral knowledge is rooted in knowledge of specific situational moral truths, which affect is a necessary means for attaining. Rationalists claim moral knowledge is rooted in moral principles, knowledge of which is acquired a priori through reason alone; affect is unnecessary. Note that in this way of framing the debate, the issue concerns solely moral knowledge. Recent epistemology, however, has also highlighted the importance of understanding as an epistemic (...) good separate from knowledge. As such, moral understanding might have value over and above mere moral knowledge. Some philosophers have pointed to the importance moral understanding possesses for reliably doing the right thing, justifying yourself to others, developing virtue, and performing morally worthy action. In this paper, I argue that the sentimentalist account of understanding both specific moral truths and moral principles has significant advantages over, and can ground, the rationalist alternative. (shrink)

In this paper, we examine a number of relevant logics’ variable sharing properties from the perspective of theories of topic or subject-matter. We take cues from Franz Berto’s recent work on topic to show an alignment between families of variable sharing properties and responses to the topic transparency of relevant implication and negation. We then introduce and defend novel variable sharing properties stronger than strong depth relevance—which we call cn-relevance and lossless cn-relevance—showing that the properties are satisfied by the weak (...) relevant logics and , respectively. We argue that such properties address a sort of semantic lossiness of strong depth relevance. (shrink)

Abstractionism in the philosophy of mathematics aims at deriving large fragments of mathematics by combining abstraction principles (i.e. the abstract objects $\S e_1, \S e_2$, are identical if, and only if, an equivalence relation $Eq_\S$ holds between the entities $e_1, e_2$) with logic. Still, as highlighted in work on the semantics for relevant logics, there are different ways theories might be combined. In exactly what ways must logic and abstraction be combined in order to get interesting mathematics? In this paper, (...) we investigate the matter by deriving the axioms of second-order Peano Arithmetic from Frege's Basic Law V (the extension of $F$ is identical with the extension of $G$ if, and only if, $F$ and $G$ are extensionally equivalent) in the presence of a relevant higher-order logic. The results are interesting. Not only must we take on logic as true, and not only must we apply our logic to abstraction principles, but also we have to apply our theory of abstraction back to the logic in order to arrive at arithmetic. Thus, what Abstractionism gives us is not simply what we get from abstraction via logic, but also what we get from logic via abstraction. (shrink)

This paper explores personal identity and persistence through time in the Many Worlds Interpretation (MWI) of quantum mechanics (QM). First, I will motivate the MWI’s relevance in the domain of metaphysics. Second, I will define endurantism. Third, I will explain the foundational physics underlying the MWI which entails branching worlds. Finally, I will argue that the privileged branch view best captures endurantist judgments about personal identity and persistence through time in the many-worlds framework. (Note that this work is in its (...) early draft stages - later versions will be updated and revised). (shrink)

Linnebo and Pettigrew present some objections to category theory as an autonomous foundation. They do a commendable job making clear several distinct senses of ‘autonomous’ as it occurs in the phrase ‘autonomous foundation’. Unfortunately, their paper seems to treat the ‘categorist’ perspective rather unfairly. Several infelicities of this sort were addressed by McLarty. In this note I address yet another apparent infelicity.

Recent authors, emphasizing Newman’s distaste for natural theology—especially William Paley’s design argument—have urged us to follow Newman’s lead and reject design arguments. But I argue that Newman’s own argument for God’s existence (his argument from conscience) fails without a supplementary design argument or similar reason to think our faculties are truth-oriented. In other words, Newman appears to need the kind of argument he explicitly rejects. Finding Newman’s rejection of natural theology to stem primarily from factors other than worries about cogency, (...) however, I further argue that there is little reason not to pursue design arguments in order to save the argument from conscience. (shrink)

In this paper, we provide a semantics for a range of positive substructural logics, including both logics with and logics without modal connectives. The semantics is novel insofar as it is meant to explicitly capture the computational flavor of these logics, and to do so in a way that builds in both nondeterministic and nonconcurrent computational processes.

The role of certitude in our mental lives is, to put it mildly, controversial. Many current epistemologists (including epistemologists of religion) eschew certitude altogether. Given his emphasis on certitude, some have maintained that John Henry Newman was an infallibilist about knowledge. In this paper, we argue that a careful examination of his thought (especially as seen in the Grammar of Assent) reveals that he was an epistemic fallibilist. We first clarify what we mean by fallibilism and infallibilism. Second, we explain (...) why some have read Newman as an infallibilist. Third, we offer two arguments that Newman is at least a fallibilist in a weak sense. In particular, the paradox he seeks to resolve in the Grammar and his dispute with John Locke both indicate that he is at least a weak fallibilist. We close with a consideration of whether Newman is a fallibilist in a much stronger sense as well. (shrink)

We report the results of a study that investigated the views of researchers working in seven scientific disciplines and in history and philosophy of science in regard to four hypothesized dimensions of scientific realism. Among other things, we found that natural scientists tended to express more strongly realist views than social scientists, that history and philosophy of science scholars tended to express more antirealist views than natural scientists, that van Fraassen’s characterization of scientific realism failed to cluster with more standard (...) characterizations, and that those who endorsed the pessimistic induction were no more or less likely to endorse antirealism. (shrink)

In this paper, I’ll present two objections against Robert Kane’s (2024) libertarian account of free will. First, to accommodate deliberative libertarian views, Kane must reconceptualize how indeterminism operates in deliberation. Second, in light of a discussion concerning the time indeterminism terminates in deliberation, we do not have good reason to prefer Kane’s account over deliberative views. I leave it open as to which view better captures libertarian free will. I only wish to show that deliberative views are no less plausible (...) than Kane’s account. NOTE THAT THIS WORK IS UNPUBLISHED/IN PROGRESS. A better version is coming soon :) . (shrink)

According to ‘orthodox’ epistemology, it has recently been said, whether or not a true belief amounts to knowledge depends exclusively on truth-related factors: for example, on whether the true belief was formed in a reliable way, or was supported by good evidence, and so on. Jason Stanley refers to this as the ‘intellectualist’ component of orthodox epistemology, and Jeremy Fantl and Matthew McGrath describe it as orthodox epistemology’s commitment to a ‘purely epistemic’ account of knowledge — that is, an account (...) of knowledge where only truth-related factors figure in whether or not a person knows. In the first part of this paper I try to clarify the intellectualist thesis and to distinguish what I take to be its two main strains. In the remainder of the paper I then take a more critical turn and argue that even if, as a matter of fact, traditional epistemology has endorsed intellectualism in both of its strains, this is a mistake on the part of the tradition. At least one way of understanding intellectualism should be rejected and its practicalist counterpart should be accepted instead. (shrink)

In this chapter, Logan Paul Gage examines the only real attempt to disprove God’s existence by a New Atheist: Richard Dawkins’s “Ultimate 747 Gambit.” Central to Dawkins’s argument is the claim that God is more complex than what he is invoked to explain. Gage evaluates this claim using the main extant notions of simplicity in the literature. Gage concludes that on no reading does this claim survive scrutiny. Along the way, Dawkins claims that there are no good positive arguments (...) for God’s existence. Gage attempts to show that Dawkins’s argument depends upon distinctively philosophical assumptions that do not appear to withstand scrutiny. (shrink)

Categorial logic, as its name suggests, applies the techniques and machinery of category theory to topics traditionally classified as part of logic. We claim that these tools deserve attention from a greater range of philosophers than just the mathematical logicians. We support this claim with an example. In this paper we show how one particular tool from categorial logic---hyperdoctrines---suggests interesting metaphysics. Hyperdoctrines can provide semantics for quantified languages, but this account of quantification suggests a metaphysical picture quite different from the (...) one suggested by standard model-theoretic semantics. (shrink)

Exploitation and Economic Justice in the Liberal Capitalist State offers the first new, liberal theory of economic justice to appear in more than 30 years. The theory presented is designed to offer an alternative to the most popular liberal egalitarian theories of today and aims to be acceptable to both right and left libertarians too.

A brief introduction to a diverse and interesting group of papers in contemporary epistemology.

In a time when conservatives believe that the traditional family is under increasing fire, some think an appeal to Darwinian science may be the answer. I argue that these conservatives are wrong to maintain that Darwinian theory can serve as the intellectual foundation for the traditional conception of the family. Contra Larry Arnhart and James Q. Wilson, a Darwinian philosophy of nature simply lacks the stability the traditional family requires; it cannot support the traditional conception of human nature and the (...) normativity it was thought to contain. If conservatives are to maintain these traditional ideas, the theoretical foundation must lie elsewhere. (shrink)

Artificial intelligence (AI) and machine learning (ML) models have undoubtedly become useful tools in science. In general, scientists and ML developers are optimistic – perhaps rightfully so – about the potential that these models have in facilitating scientific progress. The philosophy of AI literature carries a different mood. The attention of philosophers remains on potential epistemological issues that stem from the so-called “black box” features of ML models. For instance, Eamon Duede (2023) argues that opacity in deep learning models (DLMs) (...) is epistemically problematic in the context of justification, though not in the context of discovery. -/- In this paper, I aim to show that a similar epistemological concern is echoed in the epistemology of imagination literature. It is traditionally held that, given its black box features, reliance on the imagination is epistemically problematic in the context of justification, though not in the context of discovery. The constraints-based approach to the imagination answers the epistemological concern by providing an account of how we can rely on the imagination in the context of justification by way of constraints. I argue by analogy that a similar approach can be applied to the opaque DLM case. Ultimately, my goal is to explore just how far this analogy extends, and whether a constraints-based approach to opaque DLMs can answer the epistemological concern surrounding their black box features in the context of justification. -/- (Note that this paper is IN PROGRESS and UNPUBLISHED). (shrink)

Truthmaker monism is the view that the one and only truthmaker is the world. Despite its unpopularity, this view has recently received an admirable defence by Schaffer :307–324, 2010b). Its main defect, I argue, is that it omits partial truthmakers. If we omit partial truthmakers, we lose the intimate connection between a truth and its truthmaker. I further argue that the notion of a minimal truthmaker should be the key notion that plays the role of constraining ontology and that truthmaker (...) monism is not necessary for an appropriate solution to the problem of finding truthmakers for negative truths. I conclude that we should reject truthmaker monism once and for all. (shrink)

Behavioural flexibility is often treated as the gold standard of evidence for more sophisticated or complex forms of animal cognition, such as planning, metacognition and mindreading. However, the evidential link between behavioural flexibility and complex cognition has not been explicitly or systematically defended. Such a defence is particularly pressing because observed flexible behaviours can frequently be explained by putatively simpler cognitive mechanisms. This leaves complex cognition hypotheses open to ‘deflationary’ challenges that are accorded greater evidential weight precisely because they offer (...) putatively simpler explanations of equal explanatory power. This paper challenges the blanket preference for simpler explanations, and shows that once this preference is dispensed with, and the full spectrum of evidence—including evolutionary, ecological and phylogenetic data—is accorded its proper weight, an argument in support of the prevailing assumption that behavioural flexibility can serve as evidence for complex cognitive mechanisms may begin to take shape. An adaptive model of cognitive-behavioural evolution is proposed, according to which the existence of convergent trait–environment clusters in phylogenetically disparate lineages may serve as evidence for the same trait–environment clusters in other lineages. This, in turn, could permit inferences of cognitive complexity in cases of experimental underdetermination, thereby placing the common view that behavioural flexibility can serve as evidence for complex cognition on firmer grounds. (shrink)

In this chapter, we argue for a phenomenal conservative perspective on religious epistemology and attempt to answer some common criticisms of this perspective.

A discussion of several tensions between Thomistic philosophy and modern Darwinian theory as well as several recent Thomistic criticisms of intelligent design.

Consider the set of inferences that are acceptable to use in all our theory building endeavors. Call this set of inferences the universal theory building toolkit, or just ’the toolkit’ for short. It is clear that the toolkit is tightly connected to logic in a variety of ways. Beall, for example, has argued that logic just is the toolkit. This paper avoids making a stand on that issue and instead investigates reasons for thinking that, logic or not, the toolkit is (...) substructural. It is presented as a dialogue for the simple reason that it summarizes a range of dialogues on this subject that the author has had with various folks over the past few years. The method I use to investigate the toolkit is inspired in both philosophical and technical details by Alasdair Urquhart’s work on semantics for relevance logics from the early 1970s. (shrink)

This is an extension of my earlier work, How in the World Are There Many Worlds and it's a lot more interesting! This paper explores personal identity and persistence through time in the many-worlds framework, governed by the Many Worlds Interpretation (MWI) of quantum mechanics (QM). First, I will motivate our consideration of the MWI in this context. Second, I will introduce endurantism, which is one answer to the puzzle concerning persistence through time. Third, I will explain the foundational physics (...) underlying the MWI that lends itself to branching worlds. In turn, I will explain what exactly a world amounts to in this picture. Then, I will present three views on personal identity and persistence through time: the bye-bye Betty view, the every-branch view, and the privileged branch view. I will argue that the privileged branch view is the most attractive of the bunch for determining the best candidate among close continuers. Finally, I will discuss knowledge, attitudes, and moral responsibility within the privileged branch view. (shrink)

Adam Smith is respected as the father of contemporary economics for his work on systemizing classical economics as an independent field of study in The Wealth of Nations. But he was also a significant moral philosopher of the Scottish Enlightenment, with its characteristic concern for integrating sentiments and rationality. This article considers Adam Smith as a key moral philosopher of commercial society whose critical reflection upon the particular ethical challenges posed by the new pressures and possibilities of commercial society remains (...) relevant today. The discussion has three parts. First I address the artificial separation between self-interest and morality often attributed to Smith, in which his work on economics is stripped of its ethical context. Second I outline Smith’s ethical approach to economics, focusing on his vigorous but qualified defence of commercial society for its contributions to prosperity, justice, and freedom. Third I outline Smith’s moral philosophy proper as combining a naturalistic account of moral psychology with a virtue ethics based on propriety in commercial society. (shrink)

This is an extension of my earlier work, The Coast is Not Clear. This paper offers an alternative view in the discussion of passive action between Harry Frankfurt (1978) and Alfred Mele (1997). First, I will describe Frankfurt’s noncausal account of action. Second, I will present counterexamples on behalf of Mele’s causal account. Then, I will introduce the Frankfurt-friendly View (FFV) which captures Frankfurt’s judgments about action while rejecting Frankfurt-style cases. I will explore what constitutes and explains actions in each (...) view. I will then analyze the counterexamples using Mele’s view and the FFV. Finally, I will explain the interpretive differences between the competing views. (Note that this work is not published and in its early draft stages.). (shrink)

Psychedelic experiences are often compared to “transformative experiences” due to their potential to change how people think and behave. This study empirically examines whether psychedelic experiences constitute transformative experiences. Given psychedelics’ prospective applications as treatments for mental health disorders, this study also explores neuroethical issues raised by the possibility of biomedically directed transformation—namely, consent and moral psychopharmacology. To achieve these aims, we used both inductive and deductive coding techniques to analyze transcripts from interviews with 26 participants in psychedelic retreats. Results (...) indicate that psychedelic experiences can constitute transformative experiences. Twenty participants reported experiences or insights that were seemingly inaccessible or impossible to attain if not for the psychoactive effects of psychedelics. All participants besides one reported some change in identity, values, beliefs, desires, and behavior—changes in behavior being the most common. Participants also reported feeling capable deciding to use psychedelics in part due to information seeking prior to their retreats. Finally, several participants reported an enhanced capacity for enacting changes in their lives. Our results underscore both the importance of subjective embodiment to transformation and the role of transformative agency in shaping outcomes of the psychedelic experience. We examine our results relative to neuroethical issues and advocate for centering the person in psychedelic research and neuroethical inquiry about psychedelics to avoid pitfalls associated with psychedelics’ potential as moral psychopharmacological agents. (shrink)

This paper offers an alternative view within the discussion of passive action between Harry Frankfurt (1978) and Alfred Mele (1997). The so-called new view presented here is unique in that it captures Frankfurt's judgments on action while, at the same time, denying Frankfurt-style cases. Though Mele's 'coasting' counterexamples severely threaten Frankfurt's view, the new view manages to avoid these objections. I leave it open to which view best characterizes passive action. (Note that this work is in its early draft stages (...) - later versions will be updated and revised). (shrink)

In this paper we argue that political envy is central to unraveling the racial dynamics in Spike Lee's Do The Right Thing. Building upon Sara Protasi’s taxonomy of envy and, in particular, from her analysis of some DTRT scenes, we conduct a more thorough interrogation of how political emotions, most notably envy, shape race relations in the film. We start by summarizing Protasi’s account of envy and then review two alternative accounts of political emotions. After elucidating what envy is and (...) how it becomes politically valenced, we analyze three key scenes that are the most emblematic of political envy: 1) a discussion between three Black characters on the street corner, 2) an exchange between the film’s main character, Mookie, and his racist co-worker, Pino; and 3) the film’s climactic riot sequence. Our analysis of these three scenes, in addition to complementing previous readings of Do The Right Thing, highlight envy’s potential to either impede or promote political action. (shrink)

This essay shows how John Henry Newman reconciled the certitude of faith with a fallibilist epistemology. While Newman holds that many of our beliefs are held with certitude, he does not conceive of all certitude as Cartesian, apodictic certitude. In this way, he walks a middle road between rationalism and fideism.

Contextualism (the view that ‘knowledge’ and its variants are context-sensitive) has been supported in large part through appeal to intuitions about Keith DeRose’s Bank Cases. Recently, however, the contextualist construal of these cases has come under fire from Kent Bach and Jennifer Nagel who question whether the Bank Case subject’s confidence can remain constant in both low- and high-stakes cases. Having explained the Bank Cases and this challenge to them, I argue that DeRose has given a reasonable reply to this (...) initial challenge. However, I proceed to argue that the current stalemate can be broken. Seeking to extend the Bach-Nagel critique, I offer a novel interpretation of the Bank Cases according to which the subject’s evidence changes between low- and high-stakes cases. If I am correct, then, given the amount of support the Bank Cases have been thought to lend contextualism, the case for contextualism is seriously weakened. (shrink)

A brief review of John Polkinghorne's 2011 book Science and Religion in Quest of Truth (Yale University Press).

Nietzsche (1844–1900) struggles with complexity and many-sidedness throughout his life. He is a nuanced thinker who offers fragments instead of a rigid philosophical system, yet he admires the ‘virtuous energy’ with which systematic thinkers, especially the pre-Socratic philosophers, express themselves. His ability to write with comparable energy is hindered by university philosophy, which privileges restraint and consistency. Therefore, he adopts a practice of spontaneous life writing in order to become simple and honest in thought and life. Inspired by figures such (...) as Emerson, Diogenes, and Sterne, he grasps the ‘nearest shoddy words’ and continually produces new insights in disjointed monologues and aphorisms. Nietzsche's vague metaphors, loose language, inconsistency, and hyperbole stem from this practice, and his autobiography, Ecce Homo (1888), is the closest that he ever comes to rekindling the energy of the pre-Socratics. (shrink)

This article aims to provide an elucidation of the doctrine of the Incarnation. A new ‘reduplication strategy’ and ‘compositional model’ is formulated through the utilisation of certain concepts and theses from contemporary metaphysics, which will enable the doctrine of the Incarnation to be explicated in a clear and consistent manner, and the oft-raised objections against it being fully dealt with.

This article aims to provide an explication of the doctrine of the monarchy of the Father. A precisification of the doctrine is made within the building-fundamentality framework provided by Karen Bennett, which enables a further clarification of the central elements of the doctrine to be made and an important objection against it to be answered.