Combining Texts

Ideas for 'Being and Time', 'Scientific Attitude and Fallibilism' and 'On Second-Order Logic'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

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Numbers are just names devised for counting [Peirce]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

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Many concepts can only be expressed by second-order logic [Boolos]

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism

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That two two-eyed people must have four eyes is a statement about numbers, not a fact [Peirce]