Wittgenstein's conception of logical and conceptual truth is often thought to rival that of the logical positivists. This paper argues that there are important respects in which these conceptions complement each other. Analyticity, in the positivists' sense, coincides, not with Wittgenstein's notion of a grammatical proposition, but rather with his notion of a tautology. Grammatical propositions can usually be construed as analyticity postulates in Carnap's sense of the term. This account of grammatical and analytic propositions will be illustrated by appeal (...) to logical, conceptual and arithmetic truths. Its consequences for an analysis of corresponding modal notions will be indicated. (shrink)

The positivists defined analyticity as truth in virtue of meaning alone and advocated the view that the notion of analyticity so defined is co-extensive with both the notion of an a priori truth an...

Fine bases his influential conception of essence on a particular account of definitions. And he complements it with a specific account of analyticity. I will argue that Fine's conception of relative analyticity confuses the idea of a sentence's being true in virtue of a term's definition with the idea of a sentence's being true in virtue of a term's meaning. His idea that correct definitions specify essential properties of meanings is mistaken. The correctness of definitions can only be assessed by (...) reference to the actual usage of the terms involved. The resulting conception of definitions leads to a deflationary interpretation of claims about essences. (shrink)

Wittgenstein and the logical positivists attempted to explain logical necessity in terms of linguistic conventions. It is often thought that their respective accounts have been conclusively refuted by objections from Quine, Dummett and others. We argue that this verdict is premature. Several of the most popular anti‐conventionalist arguments fail, partly because they misconstrue the idea of truth by convention in Wittgenstein and/or logical positivism. Correctly understood, conventionalism claims that, given certain linguistic conventions, some sentences are unconditionally true, that is true (...) irrespective of how the world happens to be. This claim is difficult to deny, and the corresponding conventionalism about logical necessity remains a viable position. (shrink)

Many contemporary metaphysicians believe that the existence of a contingent object such as Socrates metaphysically explains the existence of the corresponding set {Socrates}. This paper argues that this belief is mistaken. The argument proposed takes the form of a dilemma. The expression “{Socrates}” is a shorthand either for the expression “the set that contains all and only those objects that are identical to Socrates” or for the expression “the set that contains Socrates and nothing else”. However, Socrates' existence does not (...) explain the existence of the set that contains all and only those objects that are identical to Socrates, because there is such a set no matter whether or not Socrates exists. And although Socrates' existence does explain that of the set that contains Socrates and nothing else, this explanation is a conceptual rather than a metaphysical one. Both these claims rely on a deflationary account of the use of set theoretic vocabulary that is explained, though not properly justified, in the paper. (shrink)

According to Hume’s principle, a sentence of the form ⌜The number of Fs = the number of Gs⌝ is true if and only if the Fs are bijectively correlatable to the Gs. Neo-Fregeans maintain that this principle provides an implicit definition of the notion of cardinal number that vindicates a platonist construal of such numerical equations. Based on a clarification of the explanatory status of Hume’s principle, I will provide an argument in favour of a nominalist construal of numerical equations. (...) The neo-Fregean objections to such a construal will be examined and rejected. And the implications of the nominalist construal for the use of numerals and for the understanding of ontological questions for the existence of numbers will be spelled out. (shrink)

The positivists’ notion of truth in virtue of meaning presupposes that the truth of certain sentences can be explained merely by reference to semantic rules. The currently most popular objection to the notion denies the possibility of such semantic explanations, on the grounds that semantic rules can only explain what a sentence says, but not whether what a sentence says is true. Though recent critics of the objection have insisted that semantic rules do explain the truth of certain sentences, the (...) very notion of a semantic explanation is often left unclear. This paper proposes to define the notion of semantic explanation as a valid argument that derives the truth of a sentence from accepted semantic rules. The account offered will then be used to respond to some of the most pressing objections to the idea of truth in virtue of meaning. (shrink)

In a notorious passage from his Philosophical Investigations, Wittgenstein writes that one can state of the standard metre neither that it is one metre long, nor that it is not one metre long. While many commentators have rejected this claim, it has been commonly assumed that Wittgenstein himself endorsed it. In a recently published article, Thomas Müller not only provides a novel argument against Wittgenstein's claim about the standard metre but also claims that Wittgenstein did not actually endorse that claim. (...) In this paper, I argue that Müller's exegetical thesis is false and that his novel argument against Wittgenstein's claim about the standard metre is unsound. (shrink)

Analytic truths are necessary but rather insubstantial, given that analytic sentences are true no matter how things are. It is nowadays a commonplace that there are also substantial metaphysical truths the necessity of which derives from things necessarily being one way rather than another. Theoretical identifications and certain suitably conditionalized identity statements count as paradigmatic examples of sentences expressing such necessary facts. Although there is no shortage of attempts to deflate these examples, this paper proposes another deflationary analysis. Based on (...) this analysis, I shall try to defend a perhaps paradoxically sounding thesis: even under the interpretation under which the sentences in question turn out to be necessarily true, they merely state contingent facts. (shrink)

The positivists’ notion of truth in virtue of meaning presupposes that the truth of certain sentences can be explained merely by reference to semantic rules. The currently most popular objection to the notion denies the possibility of such semantic explanations, on the grounds that semantic rules can only explain what a sentence says, but not whether what a sentence says is true. Though recent critics of the objection have insisted that semantic rules do explain the truth of certain sentences, the (...) very notion of a semantic explanation is often left unclear. This paper proposes to define the notion of semantic explanation as a valid argument that derives the truth of a sentence from accepted semantic rules. The account offered will then be used to respond to some of the most pressing objections to the idea of truth in virtue of meaning. (shrink)

By defining God as a maximally great being Plantinga is able to devise an ontological argument which validly infers from the possibility of there being a God that there necessarily is a God. In this article I shall argue that Plantinga’s argument is not only question-begging, as several critics have complained, but circular in the strongest sense of the term. Based on reflections on the relation between the notions of coherence and possibility, I shall defend two arguments, previously proposed by (...) Tooley and Guleserian, against the existence of a maximally great being. The article concludes with some critical remarks on Plantinga’s rationale for conceiving God as such a being. (shrink)

Inhalt des Aufsatzes ist eine kritische Untersuchung der von Künne in seinem Buch Abstrakte Gegenstände vorgeschlagenen Definition der Unterscheidung zwischen singulären und generellen Termen. Zunächst wird aufgezeigt, dass Künnes Formulierung seiner Definition dahingehend unklar ist, dass sie sowohl eine satzrelative als auch eine kategorische Deutung der fraglichen Unterscheidung zulässt. Im Hauptteil des Aufsatzes soll dann gezeigt werden, dass Künnes Definition in beiden Deutungen inadäquat ist. Schließlich wird eine alternative Definition der Unterscheidung zwischen singulären und generellen Termen vorgeschlagen, welche zwar mit (...) Künnes intuitiven Beispielen entsprechender Terme in Einklang steht, sich jedoch nur schwerlich in Künnes begriffliche Gesamtarchitektur integrieren ließe. (shrink)

The paper provides an interpretation of Wittgenstein’s claim that a mathematical proof must be surveyable. It will be argued that this claim specifies a precondition for the applicability of the word ‘proof’. Accordingly, the latter is applicable to a proof-pattern only if we can come to agree by mere observation whether or not the pattern possesses the relevant structural features. The claim is problematic. It does not imply any questionable finitist doctrine. But it cannot be said to articulate a feature (...) of our actual usage of the word ‘proof’. The claim can be dissociated, however, from two tenable doctrines of Wittgenstein, namely that proofs can be used as paradigms for corresponding proof concepts and that a proof is not an experiment. (shrink)

Quine tries to combine truth conditional semantics with linguistic behaviourism. To this end, he identifies the truth conditions of a sentence with the conditions that prompt speakers to assign truth or falsity to the sentence. The first problem with this conception is that truth conditions determine not when truth-value assignments are made, but when they are correct. This fact vitiates Quine’s account of observation sentences (section 2). A second difficulty pertains only to theoretical sentences. The correctness of truth-value assignments to (...) such sentences depends not on current experiences, but on what can be experienced on other occasions. This observation militates against Quine’s general verification holism and against his account of predications (section 3 and 4). Combining truth conditional semantics and linguistic behaviourism is possible, though, if both these lessons are taken into account (section 5). (shrink)

Ratio, Volume 35, Issue 2, Page 151-154, June 2022.