Combining Texts

All the ideas for 'Through the Looking Glass', 'Universal Arithmetick' and 'Review of Tait 'Provenance of Pure Reason''

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

13418

The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17783

A number is not a multitude, but a unified ratio between quantities [Newton]

6. Mathematics / C. Sources of Mathematics / 8. Finitism

13419

If functions are transfinite objects, finitists can have no conception of them [Parsons,C]

7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing

21982

I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]

7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems

13417

If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]