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This standard Humean/Kantian dichotomy of analytic and synthetic propositions immediately yields a very problematic implication: Logical and mathematical propositions are dis-connected from experiential reality. Propositions about the world of experience such as Beverly’s car is white are never necessarily true, and propositions of logic and mathematics such as Twice two makes four, being necessarily true, must not be about the world of experience. Logical and mathematical propositions, wrote Schlick, “do not deal with any facts, but only with the symbols by means of which the facts are expressed.”[98] Logic and mathematics, accordingly, tell us absolutely nothing about the experiential world of facts. As Wittgenstein put it succinctly in the Tractatus: “All propositions of logic say the same thing. That is, nothing.”[99] Logic and mathematics, then, are on their way to becoming mere games of symbolic manipulation.[100]
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Stephen R.C. Hicks (Explaining Postmodernism: Skepticism and Socialism from Rousseau to Foucault)