Combining Texts

All the ideas for 'On the Nature of Mathematical Reasoning', 'works' and 'Preface to Great Instauration (Renewal)'

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6 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy

6602	Philosophy is like a statue which is worshipped but never advances [Bacon]

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

12427

All of mathematics is properties of the whole numbers [Kronecker]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers

10091

God made the integers, all the rest is the work of man [Kronecker]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

15923

Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]

12. Knowledge Sources / B. Perception / 1. Perception

16724

The senses deceive, but also show their own errors [Bacon]

14. Science / A. Basis of Science / 3. Experiment

6603	Nature is revealed when we put it under pressure rather than observe it [Bacon]