Jared Warren fancies himself “the lone contemporary defender of conventionalism in logic and mathematics” (p. 343 of his book Shadows of Syntax, 2020). His notion of “conventionalism” is somewhat offbeat (see below), but even so, he exaggerates wildly.
Warren goes out of his way to distance himself from Carnap, though admitting in asides that Carnap comes closer to his own “conventionalist” position than any other philosopher of the past. (I’m not so sure.) Carnap seems mostly (I haven’t read the whole book yet) to be portrayed as the garrulous old uncle who insists on boring us at dinner parties, and who may have got certain things right (perhaps by accident), but was too easily led astray by Neurath and other colorful personalities to be emulated as an inspiring forerunner.
This affords Warren ample opportunities to rap Carnap over the knuckles and tell us what Carnap should have thought or written, to bring him into conformity with Warren’s own more consistent and better-informed version of “conventionalism.” Warren does not, however, despite this frequent use of such normative language (addressed to Carnap), regard the question whether his own conventionalism is “correct” as a normative question. No, there is a fact of the matter about that; Warren is right, in his view, and everyone else is wrong. And yes, he means factually right! He has arrived at the “uniquely true and correct theory.”Continue reading