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'A Discourse on Method', 'Naturalism in Mathematics' and 'The Fixation of Belief'
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9 ideas
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
18182
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The extension of concepts is not important to me [Maddy]
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18177
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In the ZFC hierarchy it is impossible to form Frege's set of all three-element sets [Maddy]
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6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
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Frege solves the Caesar problem by explicitly defining each number [Maddy]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
18185
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Unified set theory gives a final court of appeal for mathematics [Maddy]
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18188
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The line of rationals has gaps, but set theory provided an ordered continuum [Maddy]
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18163
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Mathematics rests on the logic of proofs, and on the set theoretic axioms [Maddy]
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18183
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Set theory brings mathematics into one arena, where interrelations become clearer [Maddy]
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18186
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Identifying geometric points with real numbers revealed the power of set theory [Maddy]
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18184
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Making set theory foundational to mathematics leads to very fruitful axioms [Maddy]
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