Philosophical arguments usually are and nearly always should be abductive. Across many areas, philosophers are starting to recognize that often the best we can do in theorizing some phenomena is put forward our best overall account of it, warts and all. This is especially true in esoteric areas like logic, aesthetics, mathematics, and morality where the data to be explained is often based in our stubborn intuitions. -/- While this methodological shift is welcome, it's not without problems. Abductive arguments involve (...) significant theoretical resources which themselves can be part of what's being disputed. This means that we will sometimes find otherwise good arguments which suggest their own grounds are problematic. In particular, sometimes revising our beliefs on the basis of such an argument can undermine the very justification we used in that argument. -/- This feature, which I'll call self-effacingness, occurs most dramatically in arguments against our standing views on the esoteric subject matters mentioned above: logic, mathematics, aesthetics, and morality. This is because these subject matters all play a role in how we reason abductively. This isn't an idle fact; we can resist some challenges to our standing beliefs about these subject matters exactly because the challenges are self-effacing. The self-effacing character of certain arguments is thus both a benefit and limitation of the abductive turn and deserves serious attention. I aim to give it the attention it deserves. (shrink)

It is plausible that there are epistemic reasons bearing on a distinctively epistemic standard of correctness for belief. It is also plausible that there are a range of practical reasons bearing on what to believe. These theses are often thought to be in tension with each other. Most significantly for our purposes, it is obscure how epistemic reasons and practical reasons might interact in the explanation of what one ought to believe. We draw an analogy with a similar distinction between (...) types of reasons for actions in the context of activities. The analogy motivates a two-level account of the structure of normativity that explains the interaction of correctness-based and other reasons. This account relies upon a distinction between normative reasons and authoritatively normative reasons. Only the latter play the reasons role in explaining what state one ought to be in. All and only practical reasons are authoritative reasons. Hence, in one important sense, all reasons for belief are practical reasons. But this account also preserves the autonomy and importance of epistemic reasons. Given the importance of having true beliefs about the world, our epistemic standard typically plays a key role in many cases in explaining what we ought to believe. In addition to reconciling (versions of) evidentialism and pragmatism, this two-level account has implications for a range of important debates in normative theory, including the interaction of right and wrong reasons for actions and other attitudes, the significance of reasons in understanding normativity and authoritative normativity, the distinction between ‘formal’ and ‘substantive’ normativity, and whether there is a unified source of authoritative normativity. (shrink)

Mark Schroeder has argued that all reasonable forms of inconsistency of attitude consist of having the same attitude type towards a pair of inconsistent contents (A-type inconsistency). We suggest that he is mistaken in this, offering a number of intuitive examples of pairs of distinct attitudes types with consistent contents which are intuitively inconsistent (B-type inconsistency). We further argue that, despite the virtues of Schroeder's elegant A-type expressivist semantics, B-type inconsistency is in many ways the more natural choice in developing (...) an expressivist account of moral discourse. We close by showing how to adapt ordinary formality-based accounts of logicality to define a B-type account of logical inconsistency and distinguish it from both semantic and pragmatic inconsistency. In sum, we provide a roadmap of how to develop a successful B-type expressivism. (shrink)

A natural suggestion and increasingly popular account of how to revise our logical beliefs treats revision of logic analogously to the revision of scientific theories. I investigate this approach and argue that simple applications of abductive methodology to logic result in revision-cycles, developing a detailed case study of an actual dispute with this property. This is problematic if we take abductive methodology to provide justification for revising our logical framework. I then generalize the case study, pointing to similarities with more (...) recent and popular heterodox logics such as naïve logics of truth. I use this discussion to motivate a constraint—logical partisanhood—on the uses of such methodology: roughly: both the proposed alternative and our actual background logic must be able to agree that moving to the alternative logic is no worse than staying put. (shrink)

Etiquette and other merely formal normative standards like legality, honor, and rules of games are taken less seriously than they should be. While these standards are not intrinsically reason-providing in the way morality is often taken to be, they also play an important role in our practical lives: we collectively treat them as important for assessing the behavior of ourselves and others and as licensing particular forms of sanction for violations. This chapter develops a novel account of the normativity of (...) formal standards where the role they play in our practical lives explains a distinctive kind of reason to obey them. We have this kind of reason to be polite because etiquette is important to us. We also have this kind of reason to be moral because morality is important to us. This parallel suggests that the importance we assign to morality is insufficient to justify it being substantive. (shrink)

Sometimes a fact can play a role in a grounding explanation, but the particular content of that fact make no difference to the explanation—any fact would do in its place. I call these facts vacuous grounds. I show that applying the distinction between-vacuous grounds allows us to give a principled solution to Kit Fine and Stephen Kramer’s paradox of ground. This paradox shows that on minimal assumptions about grounding and minimal assumptions about logic, we can show that grounding is reflexive, (...) contra the intuitive character of grounds. I argue that we should never have accepted that grounding is irreflexive in the first place; the intuitions that support the irreflexive intuition plausibly only require that grounding be non-vacuously irreflexive. Fine and Kramer’s paradox relies, essentially, on a case of vacuous grounding and is thus no problem for this account. (shrink)

I argue that certain species of belief, such as mathematical, logical, and normative beliefs, are insulated from a form of Harman-style debunking argument whereas moral beliefs, the primary target of such arguments, are not. Harman-style arguments have been misunderstood as attempts to directly undermine our moral beliefs. They are rather best given as burden-shifting arguments, concluding that we need additional reasons to maintain our moral beliefs. If we understand them this way, then we can see why moral beliefs are vulnerable (...) to such arguments while mathematical, logical, and normative beliefs are not—the very construction of Harman-style skeptical arguments requires the truth of significant fragments of our mathematical, logical, and normative beliefs, but requires no such thing of our moral beliefs. Given this property, Harman-style skeptical arguments against logical, mathematical, and normative beliefs are self-effacing; doubting these beliefs on the basis of such arguments results in the loss of our reasons for doubt. But we can cleanly doubt the truth of morality. (shrink)

Neofregeanism and structuralism are among the most promising recent approaches to the philosophy of mathematics. Yet both have serious costs. We develop a view, structuralist neologicism, which retains the central advantages of each while avoiding their more serious costs. The key to our approach is using arbitrary reference to explicate how mathematical terms, introduced by abstraction principles, refer. Focusing on numerical terms, this allows us to treat abstraction principles as implicit definitions determining all properties of the numbers, achieving a key (...) neofregean advantage, while preserving the key structuralist advantage, which objects play the number role does not matter. (shrink)

This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on (...) the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike. (shrink)

I distinguish two ways of developing anti-exceptionalist approaches to logical revision. The first emphasizes comparing the theoretical virtuousness of developed bodies of logical theories, such as classical and intuitionistic logic. I'll call this whole theory comparison. The second attempts local repairs to problematic bits of our logical theories, such as dropping excluded middle to deal with intuitions about vagueness. I'll call this the piecemeal approach. I then briefly discuss a problem I've developed elsewhere for comparisons of logical theories. Essentially, the (...) problem is that a pair of logics may each evaluate the alternative as superior to themselves, resulting in oscillation between logical options. The piecemeal approach offers a way out of this problem andthereby might seem a preferable to whole theory comparisons. I go on to show that reflective equilibrium, the best known piecemeal method, has deep problems of its own when applied to logic. (shrink)

This is an opinionated overview of the Frege-Geach problem, in both its historical and contemporary guises. Covers Higher-order Attitude approaches, Tree-tying, Gibbard-style solutions, and Schroeder's recent A-type expressivist solution.

Anti-realism about the foundations of logic are curiously absent from the literature. This is especially striking given natural analogies with moral anti-realis.

Expressivists explain the expression relation which obtains between sincere moral assertion and the conative or affective attitude thereby expressed by appeal to the relation which obtains between sincere assertion and belief. In fact, they often explicitly take the relation between moral assertion and their favored conative or affective attitude to be exactly the same as the relation between assertion and the belief thereby expressed. If this is correct, then we can use the identity of the expression relation in the two (...) cases to test the expressivist account as a descriptive or hermeneutic account of moral discourse. I formulate one such test, drawing on a standard explanation of Moore's paradox. I show that if expressivism is correct as a descriptive account of moral discourse, then we should expect versions of Moore's paradox where we explicitly deny that we possess certain affective or conative attitudes. I then argue that the constructions that mirror Moore's paradox are not incoherent. It follows that expressivism is either incorrect as a hermeneutic account of moral discourse or that the expression relation which holds between sincere moral assertion and affective or conative attitudes is not identical to the relation which holds between sincere non-moral assertion and belief. A number of objections are canvassed and rejected. (shrink)

I investigate syntactic notions of theoretical equivalence between logical theories and a recent objection thereto. I show that this recent criticism of syntactic accounts, as extensionally inadequate, is unwarranted by developing an account which is plausibly extensionally adequate and more philosophically motivated. This is important for recent anti-exceptionalist treatments of logic since syntactic accounts require less theoretical baggage than semantic accounts.

Why do promises give rise to reasons? I consider a quadruple of possibilities which I think will not work, then sketch the explanation of the normativity of promising I find more plausible—that it is constitutive of the practice of promising that promise-breaking implies liability for blame and that we take liability for blame to be a bad thing. This effects a reduction of the normativity of promising to conventionalism about liability together with instrumental normativity and desire-based reasons. This is important (...) for a number of reasons, but the most important reason is that this style of account can be extended to account for nearly all normativity—one notable exception being instrumental normativity itself. Success in the case of promises suggests a general reduction of normativity to conventions and instrumental normativity. But success in the cases of promises is already quite interesting and does not depend essentially the general claim about normativity. (shrink)

I argue that we can and should extend Tarski's model-theoretic criterion of logicality to cover indefinite expressions like Hilbert's ɛ operator, Russell's indefinite description operator η, and abstraction operators like 'the number of'. I draw on this extension to discuss the logical status of both abstraction operators and abstraction principles.

It is regrettably common for theorists to attempt to characterize the Humean dictum that one can’t get an ‘ought’ from an ‘is’ just in broadly logical terms. We here address an important new class of such approaches which appeal to model-theoretic machinery. Our complaint about these recent attempts is that they interfere with substantive debates about the nature of the ethical. This problem, developed in detail for Daniel Singer’s and Gillian Russell and Greg Restall’s accounts of Hume’s dictum, is of (...) a general type arising for the use of model-theoretic structures in cashing out substantive philosophical claims: the question of whether an abstract model-theoretic structure successfully interprets something often involves taking a stand on non-trivial issues surrounding the thing. In the particular case of Hume’s dictum, given reasonable conceptual or metaphysical claims about the ethical, Singer’s and Russell and Restall’s accounts treat obviously ethical claims as descriptive and vice versa. Consequently, their model-theoretic characterizations of Hume’s dictum are not metaethically neutral. This encourages skepticism about whether model-theoretic machinery suffices to provide an illuminating distinction between the ethical and the descriptive. (shrink)

Moore’s paradox, the infamous felt bizarreness of sincerely uttering something of the form “I believe grass is green, but it ain’t”—has attracted a lot of attention since its original discovery (Moore 1942). It is often taken to be a paradox of belief—in the sense that the locus of the inconsistency is the beliefs of someone who so sincerely utters. This claim has been labeled as the priority thesis: If you have an explanation of why a putative content could not be (...) coherently believed, you thereby have an explanation of why it cannot be coherently asserted. (Shoemaker 1995). The priority thesis, however, is insufficient to give a general explanation of Moore-paradoxical phenomena and, moreover, it’s false. I demonstrate this, then show how to give a commitment-theoretic account of Moore Paradoxicality, drawing on work by Bach and Harnish. The resulting account has the virtue of explaining not only cases of pragmatic incoherence involving assertions, but also cases of cognate incoherence arising for other speech acts, such as promising, guaranteeing, ordering, and the like. (shrink)

I argue that in order to apply the most common type of criteria for logicality, invariance criteria, to natural language, we need to consider both invariance of content—modeled by functions from contexts into extensions—and invariance of character—modeled, à la Kaplan, by functions from contexts of use into contents. Logical expressionsshould be invariant in both senses. If we do not require this, then old objections due to Timothy McCarthy and William Hanson, suitably modified, demonstrate that content invariant expressions can display intuitive (...) marks of non-logicality. If we do require this, we neatly avoid these objections while also managing to demonstrate desirable connections of logicality to necessity. The resulting view is more adequate as a demarcation of the logical expressions of natural language. (shrink)

I defend normative subjectivism against the charge that believing in it undermines the functional role of normative judgment. In particular, I defend it against the claim that believing that our reasons change from context to context is problematic for our use of normative judgments. To do so, I distinguish two senses of normative universality and normative reasons---evaluative universality and reasons and ontic universality and reasons. The former captures how even subjectivists can evaluate the actions of those subscribing to other conventions; (...) the latter explicates how their reasons differ from ours. I then show that four aspects of the functional role of normativity---evaluation of our and others actions and reasons, normative communication, hypothetical planning, and evaluating counternromative conditionals---at most requires our normative systems being evaluatively universal. Yet reasonable subjectivist positions need not deny evaluative universality. (shrink)

This paper has two related goals. First, we develop an expressivist account of negation which, in the spirit of Alan Gibbard, treats disagreement as semantically primitive. Our second goal is to make progress toward a unified expressivist treatment of modality. Metaethical expressivists must be expressivists about deontic modal claims. But then metaethical expressivists must either extend their expressivism to include epistemic and alethic modals, or else accept a semantics for modal expressions that is radically disjunctive. We propose that expressivists look (...) to Amie Thomasson’s work for a general strategy for offering a unified expressivist account of modality. Modals in general, we propose, are devices for expressing metalinguistic commitments within the object language, with deontic, epistemic, and metaphysical modals all expressing different kinds of metalinguistic commitments. (shrink)

I respond to an interesting objection to my 2014 argument against hermeneutic expressivism. I argue that even though Toppinen has identified an intriguing route for the expressivist to tread, the plausible developments of it would not fall to my argument anyways---as they do not make direct use of the parity thesis which claims that expression works the same way in the case of conative and cognitive attitudes. I close by sketching a few other problems plaguing such views.

I show that the model-theoretic meaning that can be read off the natural deduction rules for disjunction fails to have certain desirable properties. I use this result to argue against a modest form of inferentialism which uses natural deduction rules to fix model-theoretic truth-conditions for logical connectives.

I discuss Greg Restall’s attempt to generate an account of logical consequence from the incoherence of certain packages of assertions and denials. I take up his justification of the cut rule and argue that, in order to avoid counterexamples to cut, he needs, at least, to introduce a notion of logical form. I then suggest a few problems that will arise for his account if a notion of logical form is assumed. I close by sketching what I take to be (...) the most natural minimal way of distinguishing content and form and suggest further problems arising for this route. (shrink)

I discuss Greg Restall’s attempt to generate an account of logical consequence from the incoherence of certain packages of assertions and denials. I take up his justification of the cut rule and argue that, in order to avoid counterexamples to cut, he needs, at least, to introduce a notion of logical form. I then suggest a few problems that will arise for his account if a notion of logical form is assumed. I close by sketching what I take to be (...) the most natural minimal way of distinguishing content and form and suggest further problems arising for this route. (shrink)

The development of the theme of the subordination of processes of inquiry is initiated by noting some general features of philosophical reflection as manifested in the Republic and the Parmenides. Philosophy is described as an 'interplay' of literal and figurative discourse. This interplay is illustrated by a characterization of the development that occurred when Parmenides distinguished himself from his prodecessors, the Pythagoreans. The originality of Parmenides lies in his achievement of an ironic ontological discourse, as opposed to the mathematical cosmology (...) of his Italian forebears. The nature of the ontological discourse of philosophy is then further defined by a discussion of the central analogies of the Republic. The polymorphous discourse of philosophy is capable of manifesting not only the distinctions between a variety of forms of language , but also the subordination of less reflective modes of logos to the most reflective. ;The 'myth' of the instant constitutes an ironic parody of axiomatic of systematic employments of discourse and, by implication, and elicitation of the radical incompleteness of all logos. Such recognition of the possibilities and limitations of paradigms is one goal of the philosophical education. The dialogue also indicates that the education of the potential philosopher involves engendering the awareness that different modes of inquiry have different criteria of significance; therefore, even though the inquiry into inquiry as such proves to be more rigorous and profound than other employments of discourse, philosophy does not invalidate these modes. On the contrary, it is by means of the ironic exposure of the limitations of less reflective modes of logos that philosophy realizes its own potential. (shrink)

In a recent paper, Jack Woods advances an intriguing argument against expressivism based on Moore’s paradox. Woods argues that a central tenet of expressivism—which he, following Mark Schroeder, calls the parity thesis—is false. The parity thesis is the thesis that moral assertions express noncognitive, desire-like attitudes like disapproval in exactly the same way that ordinary, descriptive assertions express cognitive, belief-like attitudes. Most contemporary defenders of expressivism seem not only to accept the parity thesis but also to rely (...) on it to distinguish their view from subjectivism, so Woods’s argument against it poses a serious challenge to the view. In this paper, I argue that Woods’s argument is unsuccessful, but show that diagnosing precisely where it goes wrong raises interesting questions for expressivists—and metaethicists more generally—about the transparency of our moral attitudes. (shrink)

This book offers solutions to two persistent and I believe closely related problems in epistemology. The first problem is that of drawing a principled distinction between perception and inference: what is the difference between seeing that something is the case and merely believing it on the basis of what we do see? The second problem is that of specifying which beliefs are epistemologically basic (i.e., directly, or noninferentially, justified) and which are not. I argue that what makes a belief a (...) perceptual belief, or a basic belief, is not any introspectible feature of the belief but rather the nature of the cognitive system, or "module", that is causally responsible for the belief. Thus, even zombies, who in the philosophical literature lack conscious experiences altogether, can have basic, justified, perceptual beliefs. -/- The theories of perceptual and basic beliefs developed in the monograph are embedded in a larger reliabilist epistemology. I use this theory of basic beliefs to develop a detailed reliabilist theory: Inferentialist Reliabilism, which offers a reliabilist theory of inferential justification and which solves some longstanding problems for other reliabilist views by demanding inferential support for some—but not all—beliefs. The book is an instance of a thoroughgoingly naturalistic approach to epistemology. Many of my arguments have an empirical basis, and the view that I endorse reserves a central role for the cognitive sciences—in particular, cognitive neuroscience—in filling in the details of an applied epistemological theory. (shrink)

This book explores Kant's views on the concept of God and on the attempt to demonstrate God's existence as a means of understanding Kant's work as a whole and of achieving a proper appreciation of the contents of Kant's moral faith.

This masterful work on Kant's Religion within the Boundaries of Mere Reason explores Kant's treatment of the Idea of God, his views concerning evil, and the moral grounds for faith in God. Kant and Religion works to deepen our understanding of religion's place and meaning within the history of human culture, touching on Kant's philosophical stance regarding theoretical, moral, political, and religious matters. Wood's breadth of knowledge of Kant's corpus, philosophical sharpness, and depth of reflection sheds light not only on (...) Kant, but also on the fate of religion and its relation to philosophy in the modern world. (shrink)

This essay attempts to rethink what is here called “the Socratic Moment” in Western philosophy, that is, the unique turn that philosophy takes in the early Socratic dialogues of Plato. The essay begins by contesting the traditional view that the goal of Socratic inquiry is to gain irrefutable knowledge of ethical concepts such as courage, justice, friendship, and the holy for the purposes of future action. It argues instead, through a close reading of key passages from Plato’s Apology and Euthyphro, (...) that Socratic inquiry actually begins with the concept under consideration in order to put the interlocutor themself—their beliefs and their actions—into question. (shrink)

This paper develops an argument against causal decision theory. I formulate a principle of preference, which I call the Guaranteed Principle. I argue that the preferences of rational agents satisfy the Guaranteed Principle, that the preferences of agents who embody causal decision theory do not, and hence that causal decision theory is false.

If we want to find inner peace and wisdom, we needn't move to an ashram or monastery. Our buddha nature--our natural warmth and insight--can be discovered right where we are, in the context of our relationships, our family lives, and in our efforts help and serve others. Popular spiritual teacher Jack Kornfield shares this and other key lessons gleaned from more than forty years of commited study and practice. A student of some of the most revered meditation masters of (...) the twentieth century, Kornfield offers keen observations about the rise of mindfulness practice in the West and shares his insights on finding freedom right where we are. Topics include: How to cultivate loving-kindness, compassion, joy, and equanimity. Conscious parenting. Overcoming the common obstacles to awakening. Spirituality and sexuality. Commiting ourselves to easing the suffering in the world. The way of forgiveness, and much more. (shrink)

Most "art and science" books focus on the science of perspective or the psychology of perception. Hidden Harmony does not. Instead, the book addresses the surprising common ground between physics and art from a novel and personal perspective. Viewing the two disciplines as creative processes, J. R. Leibowitz supplements existing and original research with illustrations to demonstrate that physics and art share guiding aesthetics and compositional demands and to show how each speaks meaningfully to the other. Leibowitz widens our experience (...) and understanding of both domains by exploring how concepts such as balance and re-balance, coherence and unity, and symmetry and "broken" symmetry affect and are affected by artistic vision and scientific principle. He reveals shared themes and understandings in each field and adroitly illustrates the parallels between the dabs of color and layers of images in a work of art and the particles of matter and packets of energy that compose the observable, physical world. Featuring examples of art images and complementary examples of physics concepts, this contemplative work helps us see art and physics as artists and physicists do. (shrink)