Ideas from 'On the Nature of Mathematical Reasoning' by Henri Poincaré , by Theme Structure
[found in 'Philosophy of Mathematics: readings (2nd)' (ed/tr Benacerraf/Putnam) [CUP 1983,0-521-29648-x]].
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6. Mathematics / A. Nature of Mathematics / 4. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects