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Ideas for 'In Defense of Essentialism', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Remarks on the Foundations of Mathematics'

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3 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]