Although we believe the results reported below to have direct philosophical import, we shall for the most part confine our remarks to the realm of mathematics. The reader is referred to [4] for a philosophically oriented discussion, comprehensible to mathematicians, of tense logic.The “minimal” tense logicT0is the system having connectives ∼, →,F(“at some future time”), andP(“at some past time”); the following axioms:(whereGandHabbreviate ∼F∼ and ∼P∼ respectively); and the following rules:(8) fromαandα → β, inferβ,(9) fromα, infer any substitution instance ofα,(10) fromα, (...) inferGα,(11) fromα, inferHα.A tense logic is a systemTwhose language is that ofT0and whose axioms and rules include (1)–(11). The axioms and rules ofTother than (1)–(11) are calledproperaxioms and rules.We shall investigate three systems of semantics for tense logics, i.e. three notions ofstructureand three relations ⊧ which stand between structures and formulas. One reads⊧αas “αis valid in.” A structureis amodelof a tense logicTif every formula provable inTis valid in. A semantics isadequateforTif the set of models ofTin the semantics is characteristic forT, i.e. if wheneverT ∀ αthen there is a modelofTin the semantics such that∀ α. Two structuresand, possibly from different semantics, are calledequivalent(∼) if exactly the same formulas are valid inas in. (shrink)

Some may be of the opinion that one event can begin before another only by virtue of the existence of some event (a “witness”) which wholly precedes the other and does not wholly precede the one (and similarly for “ends before” and “does not abut”). Those would prefer $\mathbb{F}$ 0 to $\mathbb{F}$ as a model for observers' apprehensions of events. Since G is a functor from $\mathbb{M}$ to $\mathbb{F}$ 0, the current construction (restricted to $\mathbb{F}$ 0) remains applicable.This work supports (...) a claim that the psychologically fundamental temporal relationships are “wholly precedes”, “begins before”, “ends before” and “abuts”. But only in a very weak sense. Any other set of relationships which is interdefinable with this one, using only quantifier-free formulas in the definitions, could be used to define a category $\mathbb{F}$ ′ which is indistinguishable from $\mathbb{F}$ (because the same functions preserve and reflect the new relationships). This work equally supports the claim that those relationships are the psychologically fundamental ones, or the claim that it is just “wholly precedes” which is fundamental, and that we perceive “begins before” just by virtue of witnesses. But it refutes the claim that only “wholly precedes” is fundamental, and that we understand “begins before” only because we understand time as a linear ordering. (shrink)

An interpretation of Aristotle's modal syllogistic is proposed which is intuitively graspable, if only formally correst. The individuals to which a term applies, and possibly-applies, are supposed to be determined in a uniform way by the set of individuals to which the term necessarily-applies.

We show that the join of two classical [respectively, regular, normal] modal logics employing distinct modal operators is a conservative extension of each of them.

A set S of degrees is said to be an initial segment if c ≤ d ∈ S→-c∈S. Shoenfield has shown that if P is the lattice of all subsets of a finite set then there is an initial segment of degrees isomorphic to P. Rosenstein [2] (independently) proved the same to hold of the lattice of all finite subsets of a countable set. We shall show that “countable set” may be replaced by “set of cardinality at most that of (...) the continuum.” This result is also an extension of [3, Corollary 2 to Theorem 15], which states that there is a sublattice of degrees isomorphic to the lattice of all finite subsets of 2N. (A sublattice of degrees is a subset closed under ∪ and ∩; an initial segment closed under ∪ is necessarily a sublattice, but not conversely.)It seems worth noting that the proof of the present result was preceded in time by our proof [4] of the analogous theorem for hyperdegrees, and is in fact an adaptation of that proof. Thus the present work has been influenced much more directly by the Gandy-Sacks forcing construction of a minimal hyperdegree [1] than by previous work on initial segments of degrees. (shrink)

Shame is a Jekyll-and-Hyde emotion--it can be morally valuable, but it also has a dark side. Thomason presents a philosophically rigorous and nuanced account of shame that accommodates its harmful and helpful aspects. Thomason argues that despite its obvious drawbacks and moral ambiguity, shame's place in our lives is essential.

It is common to think that we would be morally better people if we never felt envy. Recently, some philosophers have rejected this conclusion by arguing that envy can often be directed toward unfairness or inequality. As such, they conclude that we should not suppress our feelings of envy. I argue, however, that these defenses only show that envy is sometimes morally permissible. In order to show that we would not be better off without envy, we must show how envy (...) is not merely morally permissible, but morally valuable. Here I provide a defense of envy's moral value. I argue that feelings of envy are integral to the value that moral agents place on the goods and talents that they judge to be central to a worthwhile life. (shrink)

Kant’s commitment to universalism has been called into question since increasing attention has been paid to his work on race in the last 20 years. This worry can easily be applied to Kant’s work on education: when Kant describes education as allowing humanity to fulfill its Bestimmung (vocation), scholars might reasonably conclude that such a claim only applies certain racial groups. Yet Salomo Friedlaender claims that if Kant’s moral theory is taught to children, “Every person is valued according to her (...) morality and no longer, as in our crude days, according to ‘race’ or national and religious affiliation.” This interpretation of Kant might strike some contemporary Kant scholars as naïvely optimistic, but neo-Kantians were well aware of Kant’s racial claims. By examining how neo-Kantians read Kant’s work on race, I argue that Friedlaender’s interpretation provides a way of reading an unracialized Bestimmung in the pedagogy. (shrink)

Attitudes like shame and contempt seem to be at odds with basic tenets of Kantian moral theory. I argue on the contrary that both attitudes play a central role in Kantian morality. Shame and contempt are attitudes that protect our love of honour, or the esteem we have for ourselves as moral persons. The question arises: how are these attitudes compatible with Kant's claim that all persons deserve respect? I argue that the proper object of shame and contempt is not (...) the humanity within a person, but rather her self-conceit, or the false esteem that competes with love of honour. (shrink)

One way of understanding Kant’s views about moral emotions is the cultivation view. On this view, emotions play a role in Kantian morality provided they are properly cultivated. I evince a sceptical position about the cultivation view. First, I show that the textual evidence in support of cultivation is ambiguous. I then provide an account of emotions in Kant’s theory that explains both his positive and negative views about them. Emotions capture our attention such that they both disrupt the mind’s (...) composure and serve as a surrogate for reason. As such, Kant cannot recommend that we cultivate our emotions. (shrink)

One of the more notorious passages in Kant occurs in the Doctrine of Right where he claims that ‘bloodguilt’ will cling to members of a dissolving society if they fail to execute the last murderer (MM, 6: 333). Although this is the most famous, bloodguilt appears in three other passages in Kant’s writings. These have received little attention in Kant scholarship. In this article, I examine these other passages and argue that bloodguilt functions as a symbol for the demandingness of (...) justice. I then offer a sympathetic interpretation of the passage from the Doctrine of Right. (shrink)

Kant typically is not identified with the tradition of virtue epistemology. Although he may not be a virtue epistemologist in a strict sense, I suggest that intellectual virtues and vices play a key role in his epistemology. Specifically, Kant identifies a serious intellectual vice that threatens to undermine reason, namely enthusiasm (Schwärmerei). Enthusiasts become so enamored with their own thinking that they refuse to subject reason to self-critique. The particular danger of enthusiasm is that reason colludes in its own destruction: (...) enthusiasm occurs when self-conceit and reason’s desire to transcend its boundaries mutually reinforce each other. I conclude by sketching an account of Kantian intellectual virtue that is consistent with Kantian moral virtue. (shrink)

Spite is typically considered a vicious emotion that causes us to engage in petty, vindictive, and sometimes self-destructive behavior. Even though it has this bad reputation, I will argue that spite is a reactive attitude. Spite is emotional defiance of another’s command: to spite you, I will do something exactly because you told me not to. Our liability to feelings of spite presupposes that we recognize others as having practical authority, which is why it qualifies as a reactive attitude. I (...) conclude by offering conditions under which spite can be justified and unjustified. (shrink)

This new essay collection edited by Eric Watkins features distinguished and established scholars, and it will be an attractive volume for those who work in the field. The essays are divided under three headings: Part I contains essays on agency, Part II features essays on freedom, and Part III is dedicated to essays on persons. An essay by Karl Ameriks on Kant’s work “The End of All Things” concludes the collection. Most of the essays in the collection were originally presented (...) in early form at the conference “Agency, Persons, and Kant” in 2016, which was held in honor of Karl Ameriks. Although there are mentions of Ameriks’s work in the essays, the contributions largely do not discuss his work in detail. Rather... (shrink)

Meira Levinson argues for a robust civics education that models the practices of good citizenship. One of the elements of that civics education is teaching students how to take up the perspectives of others. The question arises: how do we teach students and citizens alike to take up the perspectives of others? Here I argue that we can make sense of perspective-taking by appealing to Rawls’s notion of public reason as an ideal. I conclude by arguing that a commitment to (...) the ideal of public reason can help identify and resist oppression and marginalization. (shrink)

Despite the fact that emotions have become an important part of Kant scholarship in the last thirty years and counting, few books are devoted to the topic. Borges's book remedies this lacuna. Kant scholars who are familiar with her work will be happy to see her account of emotions connected to other discussions of Kantian moral psychology.The book begins with a general account of actions, reasons, and causes. Given this background, Borges then raises the question: what role do emotions play (...) in this framework? Chapters 2, 3, and 4 explain how emotions function in Kant's moral psychology. One of the main theses is that Kant has "a very colorful, wide range of emotions, which cannot be captured by one... (shrink)

CHAPTER ONE Paving a Way for a Treatise Identity Those who are not of the philosophical persuasion may find it surprising that the Self appears to be such ...