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- David Cole, Note on Analyticity and the Definability of "Bachelor".Those who have a brief against the analytic-synthetic distinction raise problems for what seem to supporters of the distinction to be some of the clearest cases. That bachelors are unmarried seems to many to be analytically true. But to hold this seems to imply that there is a definition of "bachelor" that includes being unmarried. But critics of the analytic-synthetic distinction, such as Jerry Fodor, deny that there are true definitions (reportive, not stipulative). So there can be no definition of "bachelor". And many have noted that defining "bachelor" is not as easy as appears at first blush.
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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.
1. In Critique of Pure Reason Kant introduced the term ‘analytic’ for judgments whose truth is guaranteed by a certain relation of ‘containment’ between the constituent concepts, and ‘synthetic’ for judgments which are not like this. Closely related terms were found in earlier writings of Locke, Hume and Leibniz. In Kant’s definition, an analytic judgment is one in which ‘the predicate B belongs to the subject A, as something which is (covertly) contained in this concept A’ ([1781/1787] 1965: 48). Kant called such judgments ‘explicative’, contrasting them with synthetic judgments which are ‘ampliative’. A paradigmatic analyticity would be: bachelors are unmarried. Kant assumed that knowledge of analytic necessities has a uniquely transparent sort of explanation. In the succeeding two centuries the terms ‘analytic’ and ‘synthetic’ have been used in a variety of closely related but not strictly equivalent ways. In the early 1950s Morton White (1950) and W.V. Quine (1951) argued that the terms were fundamentally unclear and should be eschewed. Although a number of prominent philosophers have rejected their arguments, there prevails a scepticism about ‘analytic’ and the idea that there is an associated category of necessary truths having privileged epistemic status.
Quine correctly argues that Carnap's distinction between internal and external questions rests on a distinction between analytic and synthetic, which Quine rejects. I argue that Quine needs something like Carnap's distinction to enable him to explain the obviousness of elementary mathematics, while at the same time continuing to maintain as he does that the ultimate ground for holding mathematics to be a body of truths lies in the contribution that mathematics makes to our overall scientific theory of the world. Quine's arguments against the analytic/synthetic distinction, even if fully accepted, still leave room for a notion of pragmatic analyticity sufficient for the indicated purpose.
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). Any account of necessity would be welcome, but one according to which necessary truths are analytic has special virtues. Necessity isn’t, of course, an epistemic property. Still, suppose that the necessity of a sentence arises from the meanings of its parts. It’s natural to assume that one of the things one knows in virtue of knowing one’s language is what the expressions of the language mean (cf., e.g., Boghossian 1994). A treatment of modality in terms of analyticity therefore connects the concept of necessity with the concept of knowledge; and knowledge is, of course, an epistemic property. So maybe if there is an a/s distinction, we could explain why the necessary truths, or at least some of the necessary truths, are knowable a priori by anybody who knows a language that can express them (cf. Quine 1991). It bears emphasis that not every theory of..
The Analytic/Synthetic distinction did not originate in Kant, but in Port-Royal's logical theory. The key for the doctrine is the explicite recognition of two different kinds of relative clauses, e.g. explicative and determinative. In the middle eighteenth century the distinction becomes a topic within the grammars. Although we can find by grammarians different criteria for the distinction, these criteria (for which we can find medieval sources) are for the main predictable from the original theory of ideas, which was presented in Port-Royal's logical writings. The topic of the two relative clauses (somewhat broader than the analytic/synthetic distinction) can be used to give empirical criteria for analyticity and also for revisiting Quine's criticism of the topic. Analyticity yet appears as a master piece of classical linguistic philosophy and not as being the empty dogma of modern empiricism.
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.
According to Keith DeRose, the invariantist's attempt to account for the data which inspire contextualism fares no better, in the end, than the "desperate and lame" maneuvers of "the crazed theory of 'bachelor'", whereby S's being unmarried is not among the truth conditions of 'S is a bachelor', but merely an implicature generated by an assertion thereof. Here, I outline the invariantist account I have previously proposed. I then argue that the prospects for sophisticated invariantism — either as a general approach, or in the specific form I have recommended — are not nearly as dim as DeRose suggests.
There seems to be something special about sentences like ‘all bachelors are unmarried’ and ‘red is a colour’. Philosophers have claimed that this is because they are analytic, where this is to say that they are true in virtue of meaning, and that anyone who understands one can know that it is true. Some have also claimed that the notion of analyticity can be used to solve problems in epistemology. However, in the last century the work of Quine and Putnam led many to doubt such claims, and to suspect that there is no analyticity, only an illusion of analyticity to be explained.
Though largely unnoticed, in “Two Dogmas” Quine (1951, Two Dogmas of Empiricism, Philosophical Review 60, 20–43. Reprinted in From a Logical Point of View, 20–46) himself invokes a distinction: a distinction between logical and analytic truths. Unlike analytic statements equating ‘bachelor’ with ‘unmarried man’, strictly logical tautologies relating two word-tokens of the same word-type, e.g., ‘bachelor’ and ‘bachelor’ are true merely in virtue of basic phonological form, putatively an exclusively non-semantic function of perceptual categorization or brute stimulus behavior. Yet natural language phonemic categorization is not entirely free of interpretive semantic considerations. “Phonemic reductionism” in both its linguistic (Bloch 1953, Contrast, Language 29, 59–61) and behavioral (Quine 1990, The Phoneme’s Long Shadow, Emics and Etics: The Insider/Outsider Debate, T. Headland, K. Pike and M. <span class='Hi'>Harris</span>, (eds.), Newbury Park, CA, Sage Publications, 164–167) guise is false. The semantic basis of phonological equivalence, however, has repercussions vis-à-vis Quine’s critique of analyticity. A consistent rejection of meaning-based equivalencies eliminates not only analyticity, but imposes a form of phonological eliminativism too. Phonological eliminativism is the reductio result of applying Quinean meaning skepticism to the phonological typing of natural language. But unlike analyticity, phonology is presumably not subject to philosophical dismissal. The semantic basis of natural language phonology serves to neutralize Quine’s argument against analyticity: without the semantics of meaning, more than just synonymy is lost; basic phonology must also be forfeited. Let’s begin with the fact that even Quine has to admit that it is possible for two tokens of the same orthographic type to be synonymous, for that much is presupposed by his own account of logical truth. Paul Boghossian (1999, 343).
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).
Discussion of David Cole, Note on analyticity and the definability of "bachelor"
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