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)

There is a natural story about what logic is that sees it as tied up with two operations: a ‘throw things into a bag’ operation and a ‘closure’ operation. In a pair of recent papers, Jc Beall has fleshed out the account of logic this leaves us with in more detail. Using Beall’s exposition as a guide, this paper points out some problems with taking the second operation to be closure in the usual sense. After pointing out these problems, I (...) then turn to fixing them in a restricted case and modulo a few simplifying assumptions. In a followup paper, the simplifications and restrictions will be removed. (shrink)

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 1988, Kit Fine published a semantic theory for quantified relevant logics. He referred to this theory as stratified semantics. While it has received some attention in the literature, 1–20, 1992; Mares & Goldblatt, Journal of Symbolic Logic 71, 163–187, 2006), stratified semantics has overall received much less attention than it deserves. There are two plausible reasons for this. First, the only two dedicated treatments of stratified semantics available are, 27–59, 1988; Mares, Studia Logica 51, 1–20, 1992), both of which (...) are quite dense and technically challenging. Second, there are a number of prima facie reasons to be worried about stratified semantics. The purpose of this paper is to revitalize research on stratified semantics. I will do so by giving a ‘user friendly’ presentation of the semantics, and by giving reasons to think that the prima facie reasons to be worried about it are too simplistic. (shrink)

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)

Relevant logics infamously have the property that they only validate a conditional when some propositional variable is shared between its antecedent and consequent. This property has been strengthened in a variety of ways over the last half-century. Two of the more famous of these strengthenings are the strong variable sharing property and the depth relevance property. In this paper I demonstrate that an appropriate class of relevant logics has a property that might naturally be characterized as the supremum of these (...) two properties. I also show how to use this fact to demonstrate that these logics seem to be constructive in previously unknown ways. (shrink)

The concepts of particular and universal have grown so familiar that their significance has become difficult to discern, like coins that have been passed back and forth too many times, worn smooth so their values can no longer be read. On the Genealogy of Universals seeks to overcome our sense of over-familiarity with these concepts by providing a case study of their evolution during the late nineteenth century and early twentieth century, a study that shows how the history of these (...) concepts is bound up with the origins and development of analytic philosophy itself. Understanding how these concepts were taken up, transfigured, and given up by the early analytic philosophers, enables us to recover and reanimate the debate amongst them that otherwise remains Delphic. This book begins from the early, originating texts of analytic philosophy that have hitherto baffled commentators, including Moore's early papers, and engages afresh with the neglected contributions of philosophical figures that historians of analytic philosophy have mostly since forgotten, including Stout and Whitehead. This sheds new light upon the relationships of Moore to Russell, Russell to Wittgenstein, and Wittgenstein to Ramsey. (shrink)

A brief introduction to the life and key work of Rudolf Carnap with special attention to his work on inductive logic.

A brief introduction to the life and work of William Paley, including a discussion of the structure of his famous design argument.

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.

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)

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)

We argue that Lewis would have rejected recent appeals to the notions of ‘metaphysical dependency’, ‘grounding’ and ‘ontological priority’, because he would have held that they’re not needed and they’re not intelligible. We argue our case by drawing upon Lewis’s views on supervenience, the metaphysics of singletons and the dubiousness of Kripke’s essentialism.

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

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)

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

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

This paper presents a new semantics for the weak relevant logic DW that makes the role of the infamous Routley star more explicable. Central to this rewriting is combining aspects of both the American and Australian plan for understanding negations in relevance logics.

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)

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)

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)

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)

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.

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.

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)

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)

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)

Is second-order logic logic? Famously Quine argued second-order logic wasn't logic but his arguments have been the subject of influential criticisms. In the early sections of this paper, I develop a deeper perspective upon Quine's philosophy of logic by exploring his positive conception of what logic is for and hence what logic is. Seen from this perspective, I argue that many of the criticisms of his case against second-order logic miss their mark. Then, in the later sections, I go beyond (...) Quine to develop a novel case that quantification into polyadic predicate position, understood as requiring quantifiers to range over relations, isn't intelligible. (shrink)

In an unpublished speech from 1991, David Lewis told his audience that he counted ‘the metaphysician Carnap ’ amongst his historical ancestors. Here I provide a novel interpretation of the Aufbau that allows us to make sense of Lewis’s claim. Drawing upon Lewis’s correspondence, I argue it was the Carnap of the Aufbau whom Lewis read as a metaphysician, because Carnap’s appeal to the notion of founded relations in the Aufbau echoes Lewis’s own appeal to the metaphysics of natural properties. (...) I further maintain that Lewis was right to read Carnap this way and that the notion of a founded relation has a legitimate claim to be both logical and metaphysical. I also argue that Carnap’s initial response to Goodman’s puzzle about ‘grue’ relies upon a metaphysics of simple properties which also prefigures Lewis’s own response to Goodman invoking natural properties. (shrink)

In this essay, I describe my journey to Catholicism and explain one of the many reasons I became Catholic--namely, an argument from the canon of Scripture.

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.

We criticize the approach of covenantal epistemology to religious epistemology as articulated by Scott Oliphint from the perspective of phenomenal conservatism.

We criticize the proper functionalist approach to religious epistemology as articulated by Tyler McNabb from the perspective of phenomenal conservatism.

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)

In this chapter, Gage and McAllister respond to various objections to the phenomenal conservative position in religious epistemology. In particular, they respond to the objections that seemings are the ultimate source of justification, that PC makes epistemic justification too easy, that PC involves conceptual circularity, and that PC lacks an objective connection to truth.

We critique MacIntyre's traditions-based perspectivalist approach to religious epistemology as articulated by Erik Baldwin from the perspective of phenomenal conservatism.

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)

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

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)

This paper is intended to persuade an uncommitted audience that free will is illusory. I examine free will through the lens of three interpretations of quantum theory: dynamical collapse theories, hidden variable theories, and many-worlds theories. Dynamical collapse theories, hereon called collapse theories, are the primary focus of this work since they are the most widely accepted in the current philosophy of physics climate. The core postulations and mechanics of the collapse theories are articulated. Accompanying these postulations are a few (...) assumptions regarding the role quantum mechanics may have in one’s decisions. The postulations and assumptions together lead to the conclusion that agents are not free in the collapse theory framework. Then, I anticipate and respond to the following objections. First, that agents are at least partially free through their ability to control and change personal dispositions. Second, that the psychological level is the most appropriate scale for discussions regarding freedom. Finally, I extend my argument against free will to the hidden variables and many-worlds theories. (Note that this work is in its early draft stages - later versions will be updated and revised). (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)

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)