It can often seem like the attitude we hold towards a conditional should be our attitude in the consequent on the supposition of the antecedent. Following by Williamson (Suppose and Tell: The Semantics and Heuristics of Conditionals. Oxford University Press, 2020), we call this The suppositional rule (SR). The Adams-style non-propositional theories of indicatives upholds some key implications of SR, allowing, for instance, our credence in a conditional to be the probability of the consequent given the antecedent. Williamson (Suppose (...) and Tell: The Semantics and Heuristics of Conditionals. Oxford University Press, 2020) has recently provided a series of inconsistency arguments against SR. He thereby intends to undermine non-propositional views as well as other rivals to his favoured material conditional account. I outline a strategy which theorists of all stripes can employ to avoid Williamson’s arguments. I then show how non-propositionalists can implement this strategy. I show how they can uphold SR when it is intuitively compelling, whilst allowing it to fail when it is not. (shrink)

§0. A familiar if obscure idea: an indicative conditional presents its consequent as holding in the actual world on the supposition that its antecedent so holds, whereas a subjunctive conditional merely presents its consequent as holding in a world, typically counterfactual, in which its antecedent holds. Consider this pair.

I argue that taking the Practical Conditionals Thesis seriously demands a new understanding of the semantics of such conditionals. Practical Conditionals Thesis: A practical conditional [if A][ought] expresses B’s conditional preferability given A Paul Weirich has argued that the conditional utility of a state of affairs B on A is to be identified as the degree to which it is desired under indicative supposition that A. Similarly, exploiting the PCT, I will argue that the proper analysis of indicative practical (...) conditionals is in terms of what is planned, desired, or preferred, given suppositional changes to an agent’s information. Implementing such a conception of conditional preference in a semantic analysis of indicative practical conditionals turns out to be incompatible with any approach which treats the indicative conditional as expressing non-vacuous universal quantification over some domain of relevant antecedent-possibilities. Such analyses, I argue, encode a fundamental misunderstanding of what it is to be best, given some condition. The analysis that does the best vis-à-vis the PCT is, instead, one that blends a Context-Shifty account of indicative antecedents with an Expressivistic, or non-propositional, treatment of their practical consequents. (shrink)

The standing tradition in theorizing about meaning, since at least Frege, identifies meaning with propositions, which are, or determine, the truth-conditions of a sentence in a context. But a recent trend has advocated a departure from this tradition: in particular, it has been argued that modal claims do not express standard propositional contents. This non-propositionalism has received different implementations in expressivist semantics and certain kinds of dynamic semantics. They maintain that the key aspect of interpretation of modal claims is the (...) characteristic dynamic effect they have on the context. I argue that pessimism about truth-conditions arises from an overly simplistic picture of content, context and their interaction. While I agree with the critics that an important aspect of modal meaning is the dynamic effect modals have on the context, I argue that they have mischaracterized the nature and the complexity of this effect. A more nuanced account of the interaction between modals and context shows that far from being incompatible with propositional meaning, the dynamic aspect of meaning is precisely what allows us to predict the correct propositional content of an utterance. (shrink)

It is known that indicative and subjunctive conditionals interact differently with a rigidifying "actually" operator. The paper studies this difference in an abstract setting. It does not assume the framework of possible world semantics, characterizing "actually" instead by the type of logically valid formulas to which it gives rise. It is proved that in a language with such features all sentential contexts that are congruential (in the sense that they preserve logical equivalence) are extensional (in the sense that they preserve (...) material equivalence). For a subjunctive conditional, the natural conclusion to draw is that it is non-congruential. It is much harder to defend the claim that an indicative conditional is non-congruential. The pressure to treat the indicative conditional as truth-functional is correspondingly greater. The implications of these results for attempts to interpret the indicative conditional as an epistemic or doxastic operator are assessed. (shrink)

Timothy Williamson has defended the claim that the semantics of the indicative ‘if’ is given by the material conditional. Putative counterexamples can be handled by better understanding the role played in our assessment of indicatives by a fallible cognitive heuristic, called the Suppositional Procedure. Williamson’s Suppositional Conjecture has it that the Suppositional Procedure is humans’ primary way of prospectively assessing conditionals. This paper raises some doubts on the Suppositional Procedure and Conjecture.

Improbable knowing is knowing something even though it is almost certain on one’s evidence at the time that one does not know that thing. Once probabilities on the agent’s evidence are introduced into epistemic logic in a very natural way, it is easy to construct models of improbable knowing, some of which have realistic interpretations, for instance concerning agents like us with limited powers of perceptual discrimination. Improbable knowing is an extreme case of failure of the KK principle, that is, (...) of a case of knowing something even though one does not know at the time that one knows that thing. A generalization of the argument yields cases of improbable rationality, in which it is rational for one to do something even though it is almost certain on one’s evidence at the time that it is not rational for one to do that thing. When the models are elaborated to represent appearances and beliefs as well as knowledge, they turn out to contain Gettier cases. Neglect of the possibility of improbable knowing may cause some sceptical claims and claims of the non-closure of knowledge under competent deduction to look more plausible than they deserve to. A formal appendix explores the closely related question of the conditions under which a reflection principle is violated. The principle says that the evidential probability of a proposition conditional on the evidential probability of that proposition’s being c is itself c. (shrink)

A composite condition is one that consists of the conjunction of a purely internalist condition and a purely external condition; a condition that is not composite is prime. A general method of argument is provided for showing that many mental states, including knowing, are prime. A connection is made with the account of knowledge that Plato gives in the Meno. The primeness of mental states is shown to contribute to their value in the explanation of action by facilitating a kind (...) of generality, which is made precise by use of the probabilistic notion of a correlation coefficient. The account is extended to the explanation of non‐mental events. (shrink)

Williamson proposes that a "suppositional procedure" is a central heuristic we use to evaluate the truth of conditionals, though he also argues that this method often leads us astray. An alternative approach to the link between supposition and conditionals is to claim that we are guided by our antecedent conditional judgements in our supposing, and in particular in our determining which things follow from an initial supposition. This alternative explanation of the close link between conditionals and supposition (...) is developed and compared to Williamson's proposal. (shrink)

We are often conceived as cognitively at home with conditions that are luminous in roughly the sense that whenever they obtain we know or are in a position to know that they obtain; mental states such as feeling cold or pain are often thought to provide examples of luminous conditions. This chapter argues that there are no non‐trivial luminous conditions, and therefore that we suffer from a kind of cognitive homelessness. The argument involves consideration of gradual processes in which small (...) changes are below our level of discrimination. It is related to, but not the same as, sorites paradoxes, for example about how many grains make a heap. The result provides the basis for an objection to the attempt that Michael Dummett has made to characterize linguistic meaning in terms of assertability rather than truth. (shrink)

This chapter contains sections titled: Discrimination between phenomenal characters depends on which experiences present them. This chapter focuses qualities of experiences rather than of bodies. Experiences are treated as particular in the sense of unrepeatable; each is tied to a specific subject in whose life it forms an episode at a specific place and time. The qualities in question are called phenomenal characters, or characters for short. Once proper account is taken of presentation‐sensitivity, it can plausibly be maintained that indiscriminability, (...) as a relation between characters, is transitive, and indeed coincides with identity. The phenomena to which the non‐transitivity argument alludes are compatible with the existence of subjective kinds of quality — characters, for instance. Some positive principles survive the discussion; they entail a necessary and sufficient condition for the identity of characters in terms of presentation‐sensitive indiscriminability. (shrink)

This chapter contains sections titled: This chapter generalizes the technique to other cases, including the identity of species and persons, and makes the appropriate concept of approximation precise. What need to be found are generalizations with worthwhile instances, beyond those already considered. The first section abstracts a formal schema: when a supposed criterion of identity M for objects of some kind turns out to be non‐transitive, the best approximation to the original criterion is a maximal M‐relation. The second section applies (...) the schema to operationally defined quantities, species, and non‐Cantorian cardinal numbers. The third section applies it in more detail to persons. The fourth section considers the case in which M is held to be a sufficient condition rather than a necessary one. The final section analyses the relevant concept of a best approximation. (shrink)

A striking feature of the traditional armchair method of philosophy is the use of imaginary examples: for instance, of Gettier cases as counterexamples to the justified true belief analysis of knowledge. The use of such examples is often thought to involve some sort of a priori rational intuition, which crude rationalists regard as a virtue and crude empiricists as a vice. It is argued here that, on the contrary, what is involved is simply an application of our general cognitive capacity (...) to handle counterfactual conditionals, which is not exclusively a priori and is not usefully conceived as a form of rational intuition. It is explained how questions of metaphysical possibility and necessity are equivalent to questions about counterfactuals, and the epistemology of the former (in particular, the role of conceiving or imagining) is a special case of the epistemology of the latter. A non-imaginary Gettier case is presented in order to show how little difference it makes. (shrink)

A striking feature of the traditional armchair method of philosophy is the use of imaginary examples: for instance, of Gettier cases as counterexamples to the justified true belief analysis of knowledge. The use of such examples is often thought to involve some sort of a priori rational intuition, which crude rationalists regard as a virtue and crude empiricists as a vice. It is argued here that, on the contrary, what is involved is simply an application of our general cognitive capacity (...) to handle counterfactual conditionals, which is not exclusively a priori and is not usefully conceived as a form of rational intuition. It is explained how questions of metaphysical possibility and necessity are equivalent to questions about counterfactuals, and the epistemology of the former (in particular, the role of conceiving or imagining) is a special case of the epistemology of the latter. A non-imaginary Gettier case is presented in order to show how little difference it makes. (shrink)

There is an argument which seems to show that if all truths are knowable then all truths are known. It may be viewed as a "reductio ad absurdum" of certain forms of antirealism. However, The claim has been made elsewhere that the argument fails against antirealists who employ constructivist rather than classical logic. The paper defends and amplifies this claim against criticisms by crispin wright and others. Relations between knowability and time are discussed. Suggestions are also made about the proper (...) form of the constructivist semantics for the conditional, Involving a non-Platonistic version of the distinction between types and tokens of proofs. (shrink)

Among the topics to whose discussion Diego Marconi has contributed outstandingly over the years, two of the most notable are the nature of lexical competence and the status of the law of non-contradiction. The topics are linked by the popular idea that adherence to basic logical laws is a necessary condition of understanding logical words, in particular that adherence to the law of non-contradiction is a necessary condition of understanding words for negation. For example, it may be proposed...

Timothy Williamson contends that our primary cognitive heuristic for prospectively assessing conditionals, i.e., the suppositional procedure, is provably inconsistent. Our diagnosis is that stipulations about the nature of suppositional rejection are the likely source of these results. We show that on at least one alternative, and quite natural, understanding of the suppositional attitudes, the inconsistency results are blocked. The upshot is an increase in the reliability of our suppositional heuristics across a wider range of contexts. One interesting consequence of the (...) increased reliability is a proportional decrease in the plausibility of an error-theory that Williamson employs against widespread intuitions about the truth values of counterpossible conditionals. (shrink)

The paper comments on David Rosenthal’s claim that saying “p” is performance-conditionally equivalent to saying “I believe that p”. It is argued, by way of counterexamples, that the proposed performance-conditional equivalence does not hold in this generality. The paper further proposes that avowal expressivism gives necessary conditions for the performance-conditional equivalence: it holds only if the speaker’s utterance of “p” is a non-explicit expressive act expressive of the belief that p and the utterance of “I believe that p” is an (...) explicit expressive act expressive of the very same belief. If that is correct, the performance-conditional equivalence thesis provides an argument against Rosenthal’s preferred avowal descriptivism and in favor of avowal expressivism. (shrink)

Many think that expressivists have a special problem with negation. I disagree. For if there is a problem with negation, I argue, it is a problem shared by those who accept some plausible claims about the nature of intentionality. Whether there is any special problem for expressivists turns, I will argue, on whether facts about what truth-conditions beliefs have can explain facts about basic inferential relations among those beliefs. And I will suggest that the answer to this last question is, (...) on most plausible attempts at solving the problem of intentionality, ‘no’. (shrink)

One of the most familiar arguments for expressivist metaethics is the claim that the rival theory, moral realism, cannot provide a satisfying explanation of why moral properties supervene on natural properties. Non-cognitivism, however, has its own problems explaining supervenience. Expressivists try to establish supervenience either by second-order disapproval of type-inconsistent moral evaluations or by pragmatic considerations. But disapproval of inconsistency is merely a contingent attitude that people happen to have; and pragmatic justification does not allow for appraisers to take their (...) own moral attitudes seriously enough. What has been overlooked is a third alternative. The metaethical theory that can best account for supervenience is neither realist nor non-cognitivist but an objectivist version of constructivism. On the constructivist theory, right and wrong are determined by the principles that people would (hypothetically) consent to under ideal conditions. Type-consistency is a required feature of any principles regulating our conduct, if they are to be freely agreed to by ideally rational people. (shrink)

Abstract I analyse the relationship between the Ramsey Test (RT) for the acceptance of indicative conditionals and the so-called problem of decision-instability. In particular, I argue that the situations which allegedly bring about this problem are troublesome just in case the relevant conditionals are evaluated by non-suppositional versions, e.g. causal/evidential, of the test. In contrast, a suppositional RT, by highlighting the metacognitive nature of the evaluation of indicative conditionals, allows an agent to run a simulation of such evaluation, without yet (...) committing her to the acceptance of such conditionals. I conclude that a suppositional interpretation of RT is superior to its nonsuppositional counterparts and by briefly showing that a suppositional RT is compatible with a deliberational decision theory. (shrink)

In this chapter I consider the prospects of globalizing expressivism. Expressivism is a position in the philosophy of language that questions the central role of representation in a theory of meaning or linguistic function. An expressivist about a domain D of discourse proposes that utterances of sentences in D should not be seen, at the level of analysis as representing how things are, but as expression of non-representational states. So, in the domain of value-utterances, the standard idea is that speakers (...) are expressing affective-states, such as approval or disapproval focused on objects or conditions. Global expressivism is the thesis that for all domains of discourse, we treat utterances, at the level of analysis, as expressing non-representational states. I set out several conceptions of how one might formulate this programme. The first involves minimalism about truth and semantic content – and only partially gives up representationalism (viz., the thesis that some utterances express representational states). The second is Price’s conception, which incorporates minimalism, Brandomian inferentalism, and concepts from Carnap, but still clings to representationalism. I then arrive at my favoured third conception, which does not employ minimalism or inferentialism, and eliminates vestiges of representationalism. It does the latter by embracing expressivism about meaning-attribution. Having set out key aspects of the approach I then address the question of metaphysics. What metaphysical conception of reality goes with global expressivism so understood? I argue it implies a form of metametaphysical nihilism. This is that idea that reality lacks any ultimate nature. (shrink)

According to a persistent objection against metaethical expressivism, this view is committed to a strong version of internalism which is unable to account for cases where a person’s moral judgment and motivation come apart. Recently, leading expressivists have argued that they can meet this objection by maintaining that moral judgments consist in non-cognitive states that motivate in normal conditions. In this paper, it is maintained that an important dimension of internalism has, on the whole, gone unnoticed: Internalist claims vary depending (...) on whether moral judgments and motivation are understood as dispositional states or occurrent states. This variation can be invoked in an argument showing that expressivists are indeed committed to versions of internalism that make it impossible to account for cases in which moral judgment and motivation diverge. (shrink)

Williamson ( 2007 ) argues that philosophers acquire no philosophical knowledge at all by semantic understanding alone. He further argues that the most important method used for achieving philosophical knowledge is through the ‘imaginative simulation’ process some of whose products are neither a priori nor a posteriori but ‘armchair’ knowledge. We argue in this paper that the way Williamson argues against the claim that semantic understanding alone is enough to achieve philosophical knowledge can be paralleled by an exactly similar argument (...) against his view that imaginative simulation alone is enough to achieve philosophical knowledge. Because of the parallel argument, we conclude that Williamson’s argument against semantic understanding shows at most that it is fallible, if used alone, as a method for achieving philosophical knowledge. We also point out a blind spot in Williamson’s argument for his epistemology of modality: a reliable method for achieving knowledge about subjunctive conditionals is not necessarily a reliable method for achieving knowledge about modal statements even if every modal statement is logically equivalent to some subjunctive conditional. Finally, we argue that, with a suitable understanding of ‘understanding the meaning,’ Williamson’s armchair knowledge is nothing but the a priori knowledge of those good-old-days philosophy. (shrink)

To suppose X means to pretend to change one's belief for the sake of the argument to include X. How to do so is a decision problem: of the many ways to modify one's beliefs to include X, one should choose the one that best fits with one's epistemic goals. I examine the role of suppositional reasoning in the evaluation of purported scientific explanations of various sorts, based on Hempel and Oppenheim's deductive-nomological and inductive-statistical explanations. First, I present for each (...) type of explanation the suppositional reasoning conditions it must satisfy. For example, the dipping of blue litmus paper in acid explains why it turned red only if, when one supposes that the litmus paper was not dipped in acid, one must also give up the belief that it turned red. Second, I argue that a specific decision making method should be used to determine how one is to change one's beliefs for the sake of the argument in each case. Third, I evaluate in detail whether purported explanations, both intuitively explanatory and intuitively non-explanatory satisfy these conditions. Fourth, I show that the suppositional reasoning conditions for explanations, when evaluated correctly, systematically solve the many counterexamples to the original Hempel-Oppenheim model. (shrink)

Lewis/Stalnaker semantics has it that all counterpossibles (i.e., counterfactual conditionals with impossible antecedents) are vacuously true. Non-vacuism, by contrast, says the truth-values of counterpossibles are affected by the truth-values of the consequents. Some counterpossibles are true, some false. Williamson objects to non-vacuism. He asks us to consider someone who answered ‘11’ to ‘What is 5 + 7?’ but who mistakenly believes that he answered ‘13’. For the non-vacuist, (1) is false, (2) true: (1) If 5 + 7 were 13, x (...) would have got that sum right (2) If 5 + 7 were 13, x would have got that sum wrong Williamson is not persuaded by the initial intuitiveness of such examples: ... they tend to fall apart when thought through. For example, if 5 + 7 were 13 then 5 + 6 would be 12, and so (by another eleven steps) 0 would be 1, so if the number of right answers I gave were 0, the number of right answers I gave would be 1. (2006) That’s the whole argument—much of it implicit. Alan Baker’s critique (2007) of Brogaard and Salerno (2007) prompts us to say something less abbreviated about a less abbreviated form of Wiliamson’s argument. Then we further develop our (2007) counterfactual analysis of essense. (shrink)

Geach's problem, the problem of accounting for the fact that judgements expressed using moral terms function logically like other judgements, stands in the way of most noncognitive analyses of moral judgements. The non-cognitivist must offer a plausible interpretation of such terms when they appear in conditionals that also explains their logical interaction with straightforward moral assertions. Blackburn and Gibbard have offered a series of accounts each of which interprets such conditionals as expressing higher order commitments. Each then invokes norms for (...) the coherent acceptance of attitudes to explain why we hold certain combinations inconsistent. Against these accounts the paper presses two related objections: (1) The norms needed to do the explanatory work cannot be strong enough to do that work without also ruling clearly consistent attitudes inconsistent. And (2), the norms of rational attitude acceptance do not neatly track the distinction between consistent and inconsistent attitudes. (shrink)

Conditional logics were originally developed for the purpose of modeling intuitively correct modes of reasoning involving conditional—especially counterfactual—expressions in natural language. While the debate over the logic of conditionals is as old as propositional logic, it was the development of worlds semantics for modal logic in the past century that catalyzed the rapid maturation of the field. Moreover, like modal logic, conditional logic has subsequently found a wide array of uses, from the traditional (e.g. counterfactuals) to the exotic (e.g. conditional (...) obligation). Despite the close connections between conditional and modal logic, both the technical development and philosophical exploitation of the latter has outstripped that of the former, with the result that noticeable lacunae exist in the literature on conditional logic. My dissertation addresses a number of these underdeveloped frontiers, producing new technical insights and philosophical applications. -/- I contribute to the solution of a problem posed by Priest of finding sound and complete labeled tableaux for systems of conditional logic from Lewis' V-family. To develop these tableaux, I draw on previous work on labeled tableaux for modal and conditional logic; errors and shortcomings in recent work on this problem are identified and corrected. While modal logic has by now been thoroughly studied in non-classical contexts, e.g. intuitionistic and relevant logic, the literature on conditional logic is still overwhelmingly classical. Another contribution of my dissertation is a thorough analysis of intuitionistic conditional logic, in which I utilize both algebraic and worlds semantics, and investigate how several novel embedding results might shed light on the philosophical interpretation of both intuitionistic logic and conditional logic extensions thereof. -/- My dissertation examines deontic and connexive conditional logic as well as the underappreciated history of connexive notions in the analysis of conditional obligation. The possibility of interpreting deontic modal logics in such systems (via embedding results) serves as an important theoretical guide. A philosophically motivated proscription on impossible obligations is shown to correspond to, and justify, certain (weak) connexive theses. Finally, I contribute to the intensifying debate over counterpossibles, counterfactuals with impossible antecedents, and take—in contrast to Lewis and Williamson—a non-vacuous line. Thus, in my view, a counterpossible like "If there had been a counterexample to the law of the excluded middle, Brouwer would not have been vindicated" is false, not (vacuously) true, although it has an impossible antecedent. I exploit impossible (non-normal) worlds—originally developed to model non-normal modal logics—to provide non-vacuous semantics for counterpossibles. I buttress the case for non-vacuous semantics by making recourse to both novel technical results and theoretical considerations. (shrink)

Some conditional involving factive emotives present a prima facie challenge to the thesis that conditionals obey modus ponens. Drawing on recent work by Timothy Williamson, I offer an error-theoretic diagnosis of the phenomenon, one that appeals to a heuristic that we use in suppositional reasoning.

This paper provides finitary jointly necessary and sufficient acceptance and rejection conditions for the logical constants of a first order quantificational language. By introducing the notion of making an assignment as a distinct object level practice—something you do with a sentence—(as opposed to a meta-level semantic notion) and combining this with the practice of (hypothetical and categorical) acceptance and rejection and the practice of making suppositions one gains a structure that is sufficiently rich to fully characterize the class of classical (...) first order theories. The analysis thus provides a way of characterizing classical first order quantification by expressivist means. (shrink)

Recent philosophical debate about the meaning of knowledge claims has largely centered on the question of whether epistemic claims are plausibly thought to be context sensitive. The default assumption has been that sentences that attribute knowledge or justification have stable truth-conditions across different contexts of utterance, once any non-epistemic context sensitivity has been fixed. The contrary view is the contextualist view that such sentences do not have stable truth-conditions but can vary depending on the context of utterance. This debate manifestly (...) presupposes that the meta-epistemological issue of accounting for the meaning of epistemic claims is to be settled by determining the truth-conditions of these claims. I think this presupposition is undermotivated in light of two observations. First, many epistemologists see epistemic claims as evaluative or normative, in some sense. Second, in the meta- ethical debate most philosophers take alternatives to truth-conditional semantics, such as expressivism, as live options when it comes to evaluative or normative claims. As it turns out, I think expressivism doesn’t provide a plausible account of normative concepts across the board. But considering it as an alternative in the meta-epistemological debate points the way to another alternative to truth-conditional semantics. This is a form of inferentialism. In this paper, I try to motivate a move to epistemic inferentialism by showing how it overcomes worries about expressivism and interacts with plausible ideas about the social function epistemic claims play in our commerce with one another and the word. (shrink)

According to many forms of Externalism now popular in the Philosophy of Mind, the contents of our thoughts depend in part upon our physical or social milieu.1 These forms of Externalism leave unchallenged the thesis that the ~non-factive! attitudes we bear towards these contents are independent of physical or social milieu. This paper challenges that thesis. It is argued here that publicly forwarding a content as a supposition for the sake of argument is, under conditions not themselves guaranteeing the (...) existence of that state, sufficient for occupancy of the intentional state of supposing that content. Because a saying may literally create an intentional state, whether one is in such a state does not depend solely upon how things are within one’s skin. Rather, even leaving content fixed, the attitude borne toward that content depends in part upon what norms are in force in one’s milieu. (shrink)

My project in Being For is both constructive and negative. The main aim of the book is to take the core ideas of meta-ethical expressivism as far as they can go, and to try to develop a version of expressivism that solves many of the more straightforward open problems that have faced the view without being squarely confronted. In doing so, I develop an expressivist framework that I call biforcated attitude semantics, which I claim has the minimal structural features required (...) in order to solve some of these open problems facing expressivism. I take biforcated attitude semantics to prove that expressivism is a coherent and interesting hypothesis about the semantics of natural languages.So much for the constructive part; having argued that biforcated attitude semantics incorporates the minimal moves required in order to solve a few of the more pressing open questions facing expressivism, I use it in order to productively constrain what an expressivist answer to further open questions must look like. The results, I end up arguing, are ultimately not promising; the very same structural features that expressivists need in order to answer so simple a problem as to explain why ‘P’ and ‘∼P’ are inconsistent sentences lead to a very general problem about how ordinary, non-moral sentences are to end up with the right truth-conditions, and though I show how to finesse this problem for some simple constructions – truth-conditional connectives and the quantifiers – I ultimately argue that it can’t be done for the full range of constructions in natural languages – including terms like modals, tense and binary quantifiers like ‘most’. So even if expressivism is coherent and interesting, it is an extremely unpromising hypothesis about the language that we actually speak.The main theme of the book is that the most fruitful way …. (shrink)

It is often thought that the test for whether an indicative conditional is assertible is to first suppose the antecedent and then check to see if the consequent is probable on that supposition. Call this procedure the “Ramsey Test”. Some influential accounts of indicative conditionals hold that the Ramsey Test works because indicative conditionals are used to express a high credence in the consequent conditional on the antecedent. In this paper I will argue that a different expressivist account, one (...) inspired by Brandom can handle a wider range of phenomena. In particular, it does a better job explaining how conditionals function in modus tollens arguments. I will end by discussing how the account proposed here goes beyond Brandom’s own work on logic and hermeneutics. Of particular importance is the role played by a conversational common ground, distinct from the commitments of the interpreter and interpreted. (shrink)

The aim of this paper is to investigate two related aspects of human reasoning, and use the results to construct an automated theorem prover for the predicate calculus that at least approximately models human reasoning. The result is a non-resolution theorem prover that does not use Skolemization. It involves two central ideas. One is the interest constraints that are of central importance in guiding human reasoning. The other is the notion of suppositional reasoning, wherein one makes a supposition, draws (...) inferences that depend upon that supposition, and then infers a conclusion that does not depend upon it. Suppositional reasoning is involved in the use of conditionals and reductio ad absurdum, and is central to human reasoning with quantifiers. The resulting theorem prover turns out to be surprisingly efficient, beating most resolution theorem provers on some hard problems. (shrink)

Richard Bradley’s landmark book Decision Theory with a Human Face makes seminal contributions to nearly every major area of decision theory, as well as most areas of formal epistemology and many areas of semantics. In addition to sketching Bradley’s distinctive semantics for conditional beliefs and desires, I will explain his theory of conditional desire, focusing particularly on his claim that we should not desire events, either positively or negatively, under the supposition that they will occur. I shall argue, to (...) the contrary, that permitting non-trivial desirabilities for events whose occurrence is known or assumed is both more intuitively plausible and more theoretically fruitful than Bradley’s approach. In the course of the discussion I will contrast Bradley’s broadly evidentialist picture of decision theory with my own more orthodox causal approach. (shrink)

I discuss methodology in epistemology. I argue that settling the facts, even the epistemic facts, fails to settle the questions of intellectual policy at the center of our epistemic lives. An upshot is that the standard methodology of analyzing concepts like knowledge, justification, rationality, and so on is misconceived. More generally, any epistemic method that seeks to issue in intellectual policy by settling the facts, whether by way of abductive theorizing or empirical investigation, no matter how reliable, is inapt. The (...) argument is a radicalization of Moore’s Open Question Argument. I conclude by considering the ramifications of this conclusion for the debate surrounding “Modal Security”, a proposed necessary condition on undermining defeat. (shrink)

This paper develops a probabilistic analysis of conditionals which hinges on a quantitative measure of evidential support. In order to spell out the interpreta- tion of ‘if’ suggested, we will compare it with two more familiar interpretations, the suppositional interpretation and the strict interpretation, within a formal framework which rests on fairly uncontroversial assumptions. As it will emerge, each of the three interpretations considered exhibits specific logical features that deserve separate consideration.

Amongst those views sometimes attributed to the later Wittgenstein are included both a deflationary theory of truth, as well as a non-factualism about certain regions of discourse. Evidence in favor of the former attribution, it is thought, can be found in Wittgenstein’s apparent affirmation of the basic definitional equivalence of ‘p’ is true and p in §136 of his Philosophical Investigations. Evidence in favor of the latter attribution, it might then be presumed, can be found in the context of the (...) so-called ‘private language argument’, wherein Wittgenstein provides an expressivist treatment of first-person present tense sensation utterances. In this paper, by contrast, I will argue that Wittgenstein’s later philosophy is best understood as endorsing neither a non-factualism about sensation utterances, nor a deflationism about truth. Wittgenstein should instead be understood as offering a ‘mixed’ view of sensation utterances according to which some while not others are apt for expressivist treatment. Moreover, he should be thought of as identifying truth-conditions with semantic ‘correctness-conditions’, and thus truth with semantic ‘assertibility’. (shrink)

I attempt to identify a problem running through the foundation of R. M. Hare’s ethical prescriptivism and the more recent sentimentalism/ethical expressivism of Simon Blackburn. The non-cognitivism to which Hare and Blackburn’s approaches are committed renders them unable to establish stable contents for basic moral principles and, thus, incapable of conducting a logical analysis of moral terms or statements. I argue that objective-descriptive- natural ethical theories are in a much better position to provide a satisfying account of the logical analysis (...) of moral terms or statements. Such ethical theories can arrive at basic moral principles with stable contents, thus paving the way for the kind of descriptive approach that can accommodate stable truth conditions. This, in turn, provides stable grounds for the logical analysis of moral terms and statements. (shrink)

Some believe that all arguments make an implicit “inference claim” that the conclusion is inferable from the premises (e.g., Bermejo-Luque, Grennan, the Groarkes, Hitchcock, Scriven). I try to show that this is confused. An act of arguing arises because an inference can be attributed to us, not a meta-level “inference claim” that would make the argument self-referential and regressive. I develop six (other) possible explanations of the popularity of the doctrine that similarly identify confusions.

1. In ‘A problem for expressivism’ Frank Jackson and Philip Pettit argue ‘that expressivists do not have a persuasive story to tell about how ethical sentences can express attitudes without reporting them and, in particular, without being true or false’ (1998: 240). Briefly: expressivists say that ethical sentences serve to express non-cognitive attitudes, but that these sentences do not report non-cognitive attitudes. The view that ethical sentences do report non-cognitive attitudes is not Expressivism (and not non-cognitivism), but rather a version (...) of cognitivism. According to (what we’ll call) Subjectivism, a typical ethical sentence like ‘Abortion is wrong’ reports the speaker’s non-cognitive attitude toward abortion; it says, in effect, that abortion is the object of some attitude of the speaker’s. Expressivists, by contrast, say that the sentence expresses a non-cognitive attitude toward abortion, but does not say that the speaker has it. Ayer put it this way: I can say that I am bored by uttering the sentence ‘I am bored’, but I can express boredom, without saying that I am bored, by yawning (Ayer 1952: 109). (shrink)

The recent literature offers several models of the notion of matter of fact supposition1 revealed in the acceptance of the so-called indicative conditionals. Some of those models are qualitative [Collins 90], [Levi 96], [Stalnaker 84]. Other probabilistic models appeal either to infinitesimal probability or two place probability functions. Recent work has made possible to understand which is the exact qualitative counterpart of the latter probabilistic models. In this article we show that the qualitative notion of change that thus arises is (...) hypothetical revision, a notion previously axiomatized in [Arló-Costa 97] and [Arló-Costa & Thomason 96]. This notion is incompatible with AGM as well as with other standard methods of theory change. The way in which matter-of-fact supposition is modeled by hypothetical revision is illustrated via examples. The model is compared with other qualitative accounts of the notion of supposition encoded in two-place probability functions, with models of subjunctive supposition, as well as with some of the well know models of learning. Applications in knowledge representation and in the theory of games and decisions are summarized. (shrink)

My project in Being For is both constructive and negative. The main aim of the book is to take the core ideas of meta-ethical expressivism as far as they can go, and to try to develop a version of expressivism that solves many of the more straightforward open problems that have faced the view without being squarely confronted. In doing so, I develop an expressivist framework that I call biforcated attitude semantics, which I claim has the minimal structural features required (...) in order to solve some of these open problems facing expressivism. I take biforcated attitude semantics to prove that expressivism is a coherent and interesting hypothesis about the semantics of natural languages.So much for the constructive part; having argued that biforcated attitude semantics incorporates the minimal moves required in order to solve a few of the more pressing open questions facing expressivism, I use it in order to productively constrain what an expressivist answer to further open questions must look like. The results, I end up arguing, are ultimately not promising; the very same structural features that expressivists need in order to answer so simple a problem as to explain why ‘P’ and ‘∼P’ are inconsistent sentences lead to a very general problem about how ordinary, non-moral sentences are to end up with the right truth-conditions, and though I show how to finesse this problem for some simple constructions – truth-conditional connectives and the quantifiers – I ultimately argue that it can’t be done for the full range of constructions in natural languages – including terms like modals, tense and binary quantifiers like ‘most’. So even if expressivism is coherent and interesting, it is an extremely unpromising hypothesis about the language that we actually speak.The main theme of the book is that the most fruitful way …. (shrink)

Famously, Frank P. Ramsey suggested a test for the acceptability of conditionals. Recently, David Chalmers and Alan Hájek (2007) have criticized a qualitative variant of the Ramsey test for indicative conditionals. In this paper we argue for the following three claims: (i) Chalmers and Hájek are right that the variant of the Ramsey test that they attack is not the correct way of spelling out an acceptability test for indicative conditionals. But there is a suppositional variant of the Ramsey test (...) which is still stated in purely qualitative terms, which avoids the problems, and which looks correct. (ii) While the variant of the Ramsey test that Chalmers and Hájek criticize is not correct, it is still a good approximation of a correct formulation of the Ramsey test which may be usefully employed in various contexts. (iii) The variant of the Ramsey test that Chalmers and Hájek suggest as a substitute for the deficient version of the Ramsey test is itself subject to worries similar to those raised by Chalmers and Hájek, if it is given a non-suppositional interpretation. (shrink)

Williamson's influential anti-luminosity argument aims to show that our own mental states are not “luminous,” and that we are thus “cognitively homeless.” Among other things, this argument represents a significant challenge to the idea that we enjoy basic self-knowledge of our own occurrent mental states. In this paper, I summarize Williamson's anti-luminosity argument, and discuss the role that the notion of “epistemic basis” plays in it. I argue that the anti-luminosity argument relies upon a particular version of the basis-relative safety (...) condition on knowledge. This commitment is significant because basic self-knowledge seemingly lacks any kind of distinct epistemic basis, such as inference, observation, testimony, etc., despite representing a genuine kind of knowledge of contingent matters of fact. I consider a disjunctivist account, according to which true basic self-beliefs indeed lack an epistemic basis in any kind of epistemic method, yet are still epistemically grounded in the mental states they concern. I argue that this account of self-knowledge is compatible with standard understandings of the basis relative safety condition on knowledge, but rejects the particular version required by the anti-luminosity argument. (shrink)

The second volume in the _Blackwell Brown Lectures in Philosophy_, this volume offers an original and provocative take on the nature and methodology of philosophy. Based on public lectures at Brown University, given by the pre-eminent philosopher, Timothy Williamson Rejects the ideology of the 'linguistic turn', the most distinctive trend of 20th century philosophy Explains the method of philosophy as a development from non-philosophical ways of thinking Suggests new ways of understanding what contemporary and past philosophers are doing.

Ce commentaire intégral des Conjectures de Nicolas de Cues manifeste toute la fécondité de l'oeuvre dans sa complexité. Il élucide l'art général des conjectures, en explore et approfondit les sources doctrinales (en particulier lulliennes) et scientifiques : optiques, mathématiques, biologiques et médicales... Il montre ainsi que la théorie cusaine de la connaissance constitue une hénologie des points de vue et met en évidence l'articulation du rapport entre la vérité, objet de toute recherche connaissante, et l'altérité, condition de tout être fini, (...) et notamment de l'homme. La vérité dans l'altérité se révèle alors comme condition de possibilité de tout ce qui est à partir de l'Un - ce qui constitue l'ordre de l'être - et comme condition de possibilité de toute pensée. Il s'agit, dès lors, de saisir la singularité de l'approche cusaine de la réflexion réciproque entre l'ordre de la pensée et l'ordre de l'être. Après avoir analysé le concept central de conjecture, entendu non comme une simple supposition, mais bien comme une connaissance inadéquate du vrai, la première partie déploie les principes de la nouvelle méthode, fondée sur l'analogie fondamentale entre mens humaine et mens divine. La découverte de ces principes nécessite l'exposition d'une théorie du nombre articulée à celle, d'inspiration proclusienne, des quatre unités (divine, intellectuelle, rationnelle et sensible). Cette première partie conduit à la mise en place de figures manuductrices, paradigmatiques pour notre connaissance. La seconde partie du commentaire explicite les exemples d'application de l'ars coniecturalis donnés par le Cusain en mathématiques, en philosophie naturelle et en anthropologie. Le lecteur découvrira ici comment les Conjectures engagent une philosophie de l'esprit et une philosophie critique, fondamentalement liées à une pensée de l'hétéronomie. (shrink)

What does 'if' mean? Timothy Williamson presents a controversial new approach to understanding conditional thinking, which is central to human cognitive life. He argues that in using 'if' we rely on psychological heuristics, fast and frugal methods which can lead us to trust faulty data and prematurely reject simple theories.

An interview with Timothy Williamson on Modality and other matters. Williams is asked three main questions: the first about the difference between philosophical and non-philosophical knowledge, the second concerns the epistemology of modality, and the third is on the emerging metaphysical picture.