Combining Texts
Ideas for
'Parmenides', 'My Philosophical Development' and 'The Laws of Thought'
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5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
16150
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One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
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6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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We tried to define all of pure maths using logical premisses and concepts [Russell]
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6. Mathematics / C. Sources of Mathematics / 7. Formalism
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Formalism can't apply numbers to reality, so it is an evasion [Russell]
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Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
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6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
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Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
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