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“Moreover, Carnap held that explication of the notion of analyticity in formal languages yielded the kind of precision that rendered the complaint of circularity irrelevant: vague intuitions of meaning were no longer relied upon.”
“Concerning the criticism of the circular nature of the definition of analyticity, Carnap responded that it pertained primarily to the idea of analyticity in natural language whereas he was interested in”
“So it may appear that the notion of analyticity is easily delimitable in Carnap's explicational approach: analytic propositions would be those that constitute a logico-linguistic framework.”
“Not on your life; Sewell “cheats” just like anyone else who puts in things like continuity, differentiability, analyticity, and whatever other properties one can use to solve systems of PDEs.”
Evidence that the Second Law of Thermodynamics is wrong? - The Panda's Thumb
“It is also a scientific fact that much of the world of physics and chemistry, and by implication biology, are very well represented by mathematical functions which have the properties of continuity, differentiability, analyticity as well as domains over which the functions have any meaning.”
“Things like continuity, differentiability, analyticity or whatever other characteristics apply to the possible solution sets are all used in the computer algorithms that solve problems.”
“Due to our requirements (ii) and (v) above concerning Bolzano's replacement operation, the is-variant of a purely logical proposition is not defined; in consequence the preceding definitions of logical truth, logical falsity and logical analyticity are not applicable to purely logical propositions, since they do not contain any extra-logical idea.”
“And it should be no surprise that explaining the analyticity of the supervenience constraint should require claims about what the competent can believe.”
“Grundlagen, Frege had offered a revised conception of analyticity, which arguably endorses and generalizes Kant's logical as opposed to phenomenological criterion, i.e.,”
“Frege regarded Kant's notion of analyticity as trivial.”
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