Combining Philosophers

All the ideas for Augustin-Louis Cauchy, W Kneale / M Kneale and P. Johnson-Laird

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4 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
14. Science / B. Scientific Theories / 7. Scientific Models
The models we use in reasoning may be more like perceptions than like language [Johnson-Laird]