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- Leonard Linsky (1970). Analytic/Synthetic and Semantic Theory. Synthese 21 (3-4):439 - 448.A somewhat simplified version of Jerrold J. Katz's theory of the analytic/synthetic distinction for natural languages is presented. Katz's account is criticized on the following grounds. (1) the antonymy operator is not well defined; it leaves certain sentences without readings. (2) The account of negation is defective; it has the consequence that certain nonsynonymous sentences are marked as synonymous. (3) The account of entailment is defective; it has the consequence that analytic sentences entail synthetic ones. (4) Katz's account of indeterminable sentences is criticized; it has the consequence that certain logical truths are not marked as analytic. (5) Katz's semantics provides no account of truth, so that he is unable to show that analytic sentences are true and that indeterminable sentences are not.
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This paper concentrates on some aspects of the history of the analytic-synthetic distinction from Kant to Bolzano and Frege. This history evinces considerable continuity but also some important discontinuities. The analytic-synthetic distinction has to be seen in the first place in relation to a science, i.e. an ordered system of cognition. Looking especially to the place and role of logic it will be argued that Kant, Bolzano and Frege each developed the analytic-synthetic distinction within the same conception of scientific rationality, that is, within the Classical Model of Science: scientific knowledge as cognitio ex principiis . But as we will see, the way the distinction between analytic and synthetic judgments or propositions functions within this model turns out to differ considerably between them.
It would be ever so nice if there were a viable analytic/synthetic distinction. Though nobody knows for sure, there would seem to be several major philosophical projects that having one would advance. For example: analytic sentences2 are supposed to have their truth values solely in virtue of the meanings (together with the syntactic arrangement) of their constituents; i.e., their truth values are supposed to supervene on their linguistic properties alone.3 So they are true in every possible world where they mean what they mean here.4 So they are necessarily true. So if there were a viable analytic/synthetic distinction (‘a/s distinction’ often hereafter), we would understand the necessity of at least some necessary truths. If, in particular, it were to turn out that the logical and/or the mathematical truths are analytic, we would understand why they are necessary. It would be ever so nice to understand why the logical and/or mathematical truths are necessary (cf. Gibson 1998; Quine 1998).
No semantic theory satisfying certain natural constraints can identify the semantic contents of sentences (the propositions they express), with sets of circumstances in which the sentences are true–no matter how fine-grained the circumstances are taken to be. An objection to the proof is shown to fail by virtue of conflating model-theoretic consequence between sentences with truth-conditional consequence between the semantic contents of sentences. The error underlines the impotence of distinguishing semantics, in the sense of a truth-based theory of logical consequence, and semantics, in the sense of a theory of meaning.
This is what many philosophers believe today about the analytic/synthetic distinction: In his classic early writings on analyticity -- in particular, in "Truth by Convention," "Two Dogmas of Empiricism," and "Carnap and Logical Truth" -- Quine showed that there can be no distinction between sentences that are true purely by virtue of their meaning and those that are not. In so doing, Quine devastated the philosophical programs that depend upon a notion of analyticity -- specifically, the linguistic theory of necessary truth, and the analytic theory of a priori knowledge.
Two of W. V. Quine''s most familiar doctrines are his endorsement of the distinction between underdetermination and indeterminacy, and his rejection of the distinction between analytic and synthetic truths. The author argues that these two doctrines are incompatible. In terms wholly acceptable to Quine, and based on the underdetermination/indeterminacy distinction, the author draws an exhaustive and exclusive distinction between two kinds of true sentences, and then argues that this corresponds to the traditional analytic/synthetic distinction. In an appendix the author expands on one aspect of the underdetermination/indeterminacy distinction, as construed here, and discusses, in passing, some of Quine''s more general views on truth.
Quine claims that holism (i.e., the Quine-Duhem thesis) prevents us from defining synonymy and analyticity (section 2). In "Word and Object," he dismisses a notion of synonymy which works well even if holism is true. The notion goes back to a proposal from Grice and Strawson and runs thus: R and S are synonymous iff for all sentences T we have that the logical conjunction of R and T is stimulus-synonymous to that of S and T. Whereas Grice and Strawson did not attempt to defend this definition, I try to show that it indeed gives us a satisfactory account of synonymy. Contrary to Quine, the notion is tighter than stimulus-synonymy -- particularly when applied to sentences with less than critical semantic mass (section 3). Now according to Quine, analyticity could be defined in terms of synonymy, if synonymy were to make sense: A sentence is analytic iff synonymous to self-conditionals. This leads us to the following notion of analyticity: S is analytic iff, for all sentences T, the logical conjunction of S and T is stimulus-synonymous to T; an analytic sentence does not change the semantic mass of any theory to which it may be conjoined (section 4). This notion is tighter than Quine's stimulus-analyticity; unlike stimulus-analyticity, it does not apply to those sentences from the very center of our theories which can be assented to come what may, even though they are not synthetic in the intuitive sense (section 5).
No categories
Quine claims that holism (i.e., the Quine-Duhem thesis) prevents us from defining synonymy and analyticity (section 2). In Word and Object, he dismisses a notion of synonymy which works well even if holism is true. The notion goes back to a proposal from Grice and Strawson and runs thus: R and S are synonymous iff for all sentences T we have that the logical conjunction of R and T is stimulus-synonymous to that of S and T. Whereas Grice and Strawson did not attempt to defend this definition, I try to show that it indeed gives us a satisfactory account of synonymy. Contrary to Quine, the notion is tighter than stimulus-synonymy – particularly when applied to sentences with less than critical semantic mass (section 3). Now according to Quine, analyticity could be defined in terms of synonymy, if synonymy were to make sense: A sentence is analytic iff synonymous to self-conditionals. This leads us to the following notion of analyticity: S is analytic iff, for all sentences T, the logical conjunction of S and T is stimulus-synonymous to T; an analytic sentence does not change the semantic mass of any theory to which it may be conjoined (section 4). This notion is tighter than Quine's stimulus-analyticity; unlike stimulus-analyticity, it does not apply to those sentences from the very center of our theories which can be assented to come what may, even though they are not synthetic in the intuitive sense (section 5).
THERE IS A CLEAR DISTINCTION BETWEEN ANALYTIC AND SYNTHETIC SENTENCES IF WE DEFINE AN ANALYTIC SENTENCE AS ONE WHICH ENTAILS A SELF-CONTRADICTION. THE PAPER SHOWS THAT ALTHOUGH THIS DEFINES "ANALYTIC" BY TERMS WHICH ARE THEMSELVES ALSO MODAL TERMS, THESE LATTER TERMS CAN BE EXPLAINED BY DEFINITIONS USING LESS TECHNICAL TERMS AND BY EXAMPLES, IN SUCH A WAY AS TO GIVE "ANALYTIC" AS CLEAR A MEANING AS IS POSSESSED BY MOST OTHER TERMS OF OUR LANGUAGE. THE FACT THAT THERE ARE BORDER-LINE CASES OF ANALYTIC SENTENCES, AND THAT APPARENTLY SOME OBVIOUS CASES OF ANALYTIC SENTENCES TURN OUT TO BE SYNTHETIC IS NO GOOD OBJECTION TO THE CLARITY OF THE DISTINCTION. IF WE DEFINE AN ANALYTIC SENTENCE AS ONE REDUCIBLE TO A TRUTH OF LOGIC BY SUBSTITUTION OF SYNONYMS, THIS DEFINITION PICKS OUT A DIFFERENT CLASS OF SENTENCES AS ANALYTIC, BUT IT ALSO ALLOWS US TO MAKE A CLEAR DISTINCTION BETWEEN THE ANALYTIC AND THE SYNTHETIC.
Discussion of Leonard Linsky, Analytic/synthetic and semantic theory
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