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Ideas for 'Letters to Antoine Arnauld', 'Tractatus Logico-Philosophicus' and 'Counting and the Natural Numbers'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
17423 The essence of natural numbers must reflect all the functions they perform [Sicha]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17425 To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]
17424 Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
18160 The concept of number is just what all numbers have in common [Wittgenstein]
18153 A number is a repeated operation [Wittgenstein]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
18161 The theory of classes is superfluous in mathematics [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
21963 It is possible that an omnipotent God might make one and two fail to equal three [Descartes]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
6849 Wittgenstein hated logicism, and described it as a cancerous growth [Wittgenstein, by Monk]
23509 The logic of the world is shown by tautologies in logic, and by equations in mathematics [Wittgenstein]