Combining Philosophers
Ideas for Cardinal/Hayward/Jones, George Boolos and M Loux / D Zimmerman
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4 ideas
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491
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Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483
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Mathematics and science do not require very high orders of infinity [Boolos]
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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833
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Many concepts can only be expressed by second-order logic [Boolos]
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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490
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Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
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