Logic

Dear Carnap, Dear Van: The Quine-Carnap Correspondence and by Willard Van Orman Quine, Rudolf Carnap

By Willard Van Orman Quine, Rudolf Carnap

Rudolf Carnap and W. V. Quine, of the 20th century's most crucial philosophers, corresponded at length—and over an extended interval of time—on concerns own, specialist, and philosophical. Their friendship encompassed concerns and disagreements that visit the guts of latest philosophic discussions. Carnap (1891-1970) was once a founder and chief of the logical positivist college. the more youthful Quine (1908-) all started as his staunch admirer yet diverged from him more and more over questions within the research of that means and the justification of trust. That they remained shut, relishing their adjustments via years of correspondence, indicates their stature either as thinkers and as neighbors. The letters are offered right here, in complete, for the 1st time.

The colossal creation through Richard Creath bargains a full of life assessment of Carnap's and Quine's careers and backgrounds, permitting the nonspecialist to work out their writings in old and highbrow point of view. Creath additionally presents a sensible research of the philosophical divide among them, displaying how deep the problems lower into the self-discipline, and the way to a wide quantity they continue to be unresolved.

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Extra resources for Dear Carnap, Dear Van: The Quine-Carnap Correspondence and Related Works

Sample text

Third, the sign "=" of numerical equality. Also the arithmetical operator of subtraction, namely the matrix "diff ( , )". Actually, these primitives do not suffice for all logic and mathematics; we cannot define all other logico-mathematical notions by explicit definition in terms of these. A slightly different selection, no more elaborate than this one, would have been really sufficient, as is shown in my book A System of Logistic ; but these notions would have taken much longer to expound. Let us suppose then, for simplicity but contrary to fact, that the primitive signs just now listed are enough for logic and mathematics, and that all other logico-mathematical notions can be introduced on this basis by explicit definitions, that is, conventions of mere abbreviation.

N, under the centigrade scheme of numbering temperatures, so "sig (x) = n" means that the place x exhibits Expression No. n according to the presented scheme of numbering expressions. Perhaps this can be made clearer by some temporary coining of words. Let "signitude" mean typographical condition. Now just as we read "temp (x) = n" as "The Temperature of Place No. x is n degrees", suppose we read "sig (x) = n" as "The signitude of Place No. x is n points".

10 to Place No. 30 has a temperature be― 72 ― tween 25 and 40, also perhaps a general sentence expressing some arithmetical functionality between the temperature of every place and that of the next neighboring place, also functional dependences between temperature and pressure, and so on. Within the specimen language, by means of logico-mathematical notions plus the descriptive operators, all empirical matters can be expressed, insofar as the properties involved have been fitted to some scheme of measurement, some manner of systematic or arbitrary calibration.

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