Combining Texts

All the ideas for 'fragments/reports', 'Letters to Mersenne' and 'On the Foundations of Logic and Arithmetic'

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6 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

3653	My Meditations are the complete foundation of my physics [Descartes]

3. Truth / A. Truth Problems / 2. Defining Truth

4736	Truth is such a transcendentally clear notion that it cannot be further defined [Descartes]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

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

17697

The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

17698

Logic already contains some arithmetic, so the two must be developed together [Hilbert]

29. Religion / D. Religious Issues / 2. Immortality / b. Soul

3652	I can't prove the soul is indestructible, only that it is separate from the mortal body [Descartes]