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3,591
result(s) for
"Logical truth"
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Resolving a puzzle about moral responsibility and logical truth
2025
Lampert and Waldrop have recently presented a puzzle about moral responsibility and logical truth, in which they derive a contradiction from three apparently plausible principles: (A) no one is responsible for any logical truth; (B) if no one is responsible for something, then no one is responsible for what it strictly implies; and (C) someone is responsible for something. They argue that, in response, we must give up (B)—a principle that plays a key role in arguments for incompatibilism. In this paper, I argue that this response is mistaken, and that the lesson to be drawn lies elsewhere. For the puzzle also rests on a conception of logical truth according to which there are contingent logical truths. And, given this conception, (A) is false—for reasons independent of (B). So the import here concerns, not a connection between responsibility and the debate over incompatibilism, but a connection between responsibility and the debate over the correct conception of logical truth: one can hold on to (A), or hold on to the relevant conception of logical truth, but not both.
Journal Article
What is the Source of Our Knowledge of Modal Truths?
2012
There is currently intense interest in the question of the source of our presumed knowledge of truths concerning what is, or is not, metaphysically possible or necessary. Some philosophers locate this source in our capacities to conceive or imagine various actual or non-actual states of affairs, but this approach is open to certain familiar and seemingly powerful objections. A different and ostensibly more promising approach has been developed by Timothy Williamson, according to which our capacity for modal knowledge is just an extension, or by-product, of our general capacity to acquire knowledge of true counterfactual conditionals—a capacity that we deploy ubiquitously in everyday life. Williamson's account crucially involves a thesis to the effect that modal truths can be explained in terms of counterfactual truths. In this paper, I query Williamson's account on a number of points, including this thesis. My positive proposal, which owes a debt to the work of Kit Fine on modality and essence, appeals instead to our capacity to grasp essences, understood in a neo-Aristotelian fashion, according to which essences are expressed by 'real definitions'.
Journal Article
What is logical deflationism? Two non-metalinguistic conceptions of logic
2022
This paper compares two ways of holding that logic is special among the sciences in that it has no restricted class of entities as its subject matter, but instead concerns all entities alike. One way is Williamson’s explanation of how inquiry into logical consequence and logical truth only superficially concerns the linguistic or conceptual entities that bear these properties. Williamson draws on ideas familiar from deflationism about truth, and his account has been called “deflationary.” I argue that the analogy is misleading. While there’s a broad sense in which Williamson offers a deflationary account of logical inquiry, his view differs from deflationism about truth in being best understood as a form of instrumentalism. By contrast, I elaborate a deflationism about logical properties modeled on deflationism about truth. I defend this expressive device deflationism as an explanation of our use of logical predicates.
Journal Article
Morality and Mathematics: The Evolutionary Challenge
2012
The Evolutionary Challenge for moral realism is, roughly, the challenge to explain our having many true moral beliefs, given that those beliefs are the products of evolutionary forces that would be indifferent to the moral truth. This challenge is widely thought not to apply to mathematical realism. In this article, I argue that it does. Along the way, I substantially clarify the Evolutionary Challenge, discuss its relation to more familiar epistemological challenges, and broach the problem of moral disagreement. I conclude that there may be no epistemological ground on which to be a moral antirealist and a mathematical realist.
Journal Article
Context and consequence. An intercontextual substructural logic
2014
Some apparently valid arguments crucially rely on context change. To take a kind of example first discussed by Frege, 'Tomorrow, it'll be sunny' taken on a day seems to entail 'Today, it's sunny' taken on the next day, but the first sentence taken on a day sadly does not seem to entail the second sentence taken on the second next day. Mid-argument context change has not been accounted for by the tradition that has extensively studied the distinctive logical properties of context-dependent languages, for that tradition has focussed on arguments whose premises and conclusions are taken at the same context. I first argue for the desiderability of having a logic that accounts for mid-argument context change and I explain how one can informally understand such context change in a standard framework in which the relation of logical consequence holds among sentences. I then propose a family of simple temporal \"intercontextual\" logics that adequately model the validity of certain arguments in which the context changes. In particular, such logics validate the apparently valid argument in the Fregean example. The logics lack many traditional structural properties (reflexivity, contraction, commutativity etc.) as a consequence of the logical significance acquired by the sequence structure of premises and conclusions. The logics are however strong enough to capture in the form of logical truths all the valid arguments of both classical logic and Kaplan-style \"intracontextual\" logic. Finally, I extend the framework by introducing new operations into the object language, such as intercontextual conjunction, disjunction and implication, which, contrary to intracontextual conjunction, disjunction and implication, perfectly match the metalinguistic, intercontextual notions of premise combination, conclusion combination and logical consequence by representing their respective two operands as taken at different contexts.
Journal Article
Conceptualizing Classical Logic
2017
Classical logic is often characterized through certain laws such as bi-valence and sharpness of concepts, among others. My view is that its most fundamental feature is a commitment to an objective conception of truth, which goes together with a realistic metaphysical view. Truth is objective in that it derives from the nature of reality, and is not dependent on beliefs, theories, practices, and the like. Classical logic is a theory of logical properties, logical truths, and logical states of affairs.
Journal Article
Metaphysical analyticity and the epistemology of logic
2014
Recent work on analyticity distinguishes two kinds, metaphysical and epistemic. This paper argues that the distinction allows for a new view in the philosophy of logic according to which the claims of logic are metaphysically analytic and have distinctive modal profiles, even though their epistemology is holist and in many ways rather Quinean. It is argued that such a view combines some of the more attractive aspects of the Carnapian and Quinean approaches to logic, whilst avoiding some famous problems.
Journal Article
Impossible worlds and logical omniscience: an impossibility result
2013
In this paper, I investigate whether we can use a world-involving framework to model the epistemic states of non-ideal agents. The standard possible-world framework falters in this respect because of a commitment to logical omniscience. A familiar attempt to overcome this problem centers around the use of impossible worlds where the truths of logic can be false. As we shall see, if we admit impossible worlds where \"anything goes\" in modal space, it is easy to model extremely non-ideal agents that are incapable of performing even the most elementary logical deductions. A much harder, and considerably less investigated challenge is to ensure that the resulting modal space can also be used to model moderately ideal agents that are not logically omniscient but nevertheless logically competent. Intuitively, while such agents may fail to rule out subtly impossible worlds that verify complex logical falsehoods, they are nevertheless able to rule out blatantly impossible worlds that verify obvious logical falsehoods. To model moderately ideal agents, I argue, the job is to construct a modal space that contains only possible and non-trivially impossible worlds where it is not the case that \"anything goes\". But I prove that it is impossible to develop an impossible-world framework that can do this job and that satisfies certain standard conditions. Effectively, I show that attempts to model moderately ideal agents in a world-involving framework collapse to modeling either logical omniscient agents, or extremely non-ideal agents.
Journal Article