Articles by two American mathematicians, E. V. Huntington and Oswald Veblen, are discussed as examples of a movement in foundational research in the period 1900-1930 called American postulate theory. This movement also included E. H. Moore, R. L. Moore, C. H. Langford, H. M. Sheffer, C. J. Keyser, and others. The articles discussed exemplify American postulate theorists' standards for axiomatizations of mathematical theories, and their investigations of such axiomatizations with respect to metatheoretic properties such as independence, completeness, and consistency.

Quine takes physics to be the ultimate arbiter of what there is. [AL 1/29/2004].

RÉSUMÉ : Le but de W.V. Quine, dans «Deux dogmes de l’empirisme», n’est pas de prouver contre tous que la distinction analytique/synthétique est intenable ni de fournir une conception originale de la connaissance. Il veut plutôt ébranler l’attrait de l’empiriste pour la distinction et montrer ce en quoi réside un empirisme exempt de dogme. En me concentrant sur §§1-3 et §6, je soutiens que son traitement de l’analyticité est structuré par des hypothèses philosophiques fondamentales et que la conception de la (...) connaissance qu’il défend l’habite depuis fort longtemps. «Deux Dogmes» est moins facilement invalidé quand il est interprété en référence aux premières conférences de Quine sur Carnap. (shrink)

Alexander George has put forward a novel interpretation of the Quine-Carnap debate over analyticity. George argues that Carnap's claim that there exists an analytic-synthetic distinction was held by Carnap to be empty of empirical consequences. As a result, Carnap understood his position to be empirically indistinguishable from Quine's. Although George defends his interpretation only briefly, I show that it withstands further examination and ought to be accepted. The consequences of accepting it undermine a common understanding of Quine's criticism of Carnap, (...) and I argue that it is difficult to find a perspective from which Quine can criticize Carnap in a non-question-begging way. (shrink)

Despite its centrality and its familiarity, W. V. Quine's dispute with Rudolf Carnap over the analytic/synthetic distinction has lacked a satisfactory analysis. The impasse is usually explained either by judging that Quine's arguments are in reality quite weak, or by concluding instead that Carnap was incapable of appreciating their strength. This is unsatisfactory, as is the fact that on these readings it is usually unclear why Quine's own position is not subject to some of the very same arguments. A satisfying (...) and surprising account is here presented that stiches together the puzzling pieces of this important philosophical exchange and that in turn leads to an explanation of why it is so difficult to say whether anything of substance is at stake. (shrink)

Despite its centrality and its familiarity, W. V. Quine's dispute with Rudolf Carnap over the analytic/synthetic distinction has lacked a satisfactory analysis. The impasse is usually explained either by judging that Quine's arguments are in reality quite weak, or by concluding instead that Carnap was incapable of appreciating their strength. This is unsatisfactory, as is the fact that on these readings it is usually unclear why Quine's own position is not subject to some of the very same arguments. A satisfying (...) and surprising account is here presented that stitches together the puzzling pieces of this important philosophical exchange and that in turn leads to an explanation of why it is so difficult to say whether anything of substance is at stake. (shrink)

Recent scholarship indicates that Quine’s “Truth by Convention” does not present the radical critiques of analytic truth found fifteen years later in “Two Dogmas of Empiricism.” This prompts a historical question: what caused Quine’s radicalization? I argue that two crucial components of Quine’s development can be traced to the academic year 1940–1941, when he, Russell, Carnap, Tarski, Hempel, and Goodman were all at Harvard together. First, during those meetings, Quine recognizes that Carnap has abandoned the extensional, syntactic approach to philosophical (...) analysis, an approach espoused in Carnap’s 1934 Logical Syntax of Language, and which Quine endorsed his entire career. Second, Tarski presents Quine with a philosophically well-motivated reason to think that an apparently analytic discipline, arithmetic, could be synthetic; this reflects one of the central assertions found in “Two Dogmas” but not in “Truth by Convention.” I use this account of Quine’s development to resolve a dispute between Creath and Mancosu concerning the timeline for Quine’s evolving critiques of analyticity. (shrink)

According to the standard story W. V. Quine ’s criticisms of the idea that logic is true by convention are directed against, and completely undermine, Rudolf Carnap’s idea that the logical truths of a language L are the sentences of L that are true-in- L solely in virtue of the linguistic conventions for L, and Quine himself had no interest in or use for any notion of truth by convention. This paper argues that and are both false. Carnap did not (...) endorse any truth -by- convention theses that are undermined by Quine ’s technical observations. Quine knew this. Quine ’s criticisms of the thesis that logic is true by convention are not directed against a truth -by- convention thesis that Carnap actually held, but are part of Quine ’s own project of articulating the consequences of his scientific naturalism. Quine found that logic is not true by convention in any naturalistically acceptable sense. But he also observed that in set theory and other highly abstract parts of science we sometimes deliberately adopt postulates with no justification other than that they are elegant and convenient. For Quine such postulations constitute a naturalistically acceptable and fallible sort of truth by convention. It is only when an act of adopting a postulate is not indispensible to natural science that Quine sees it as affording truth by convention ‘unalloyed’. A naturalist who accepts Quine ’s notion of truth by convention is therefore not limited to accepting only those postulates that she regards as indispensible to natural science. (shrink)

This paper is a reexamination of Two Dogmas in the light of Quine's ongoing debate with Carnap over analyticity. It shows, first, that analytic is a technical term within Carnap's epistemology. As such it is intelligible, and Carnap's position can meet Quine's objections. Second, it shows that the core of Quine's objection is that he has an alternative epistemology to advance, one which appears to make no room for analyticity. Finally, the paper shows that Quine's alternative epistemology is itself open (...) to very serious objections. Quine is not thereby refuted, but neither can Carnap's analyticity be dismissed as dogma. (shrink)

Faced with anti-foundationalist revisionism on part of recent Vienna Circle scholarship, veterans of the struggle against the so-called dogmas of logical empiricism could be forgiven were they to fail to recognize their old adversaries. Clearly everything depends on how the logical empiricists are read: their record does not speak for itself. That already in their day the logical empiricists faced the declaredly friendly fire that nearly sealed their fate suggests, however, that the reconstructive explication and contextualization required be exceedingly subtle. (...) For if that fire really missed its target, then what was missed was something that escaped notice from close quarter. Perhaps no one of the logical empiricists places more challenging demands of this sort on their historiographers than the longest-surviving senior member of the Vienna Circle, Rudolf Carnap. (shrink)