Combining Texts

All the ideas for 'poems', 'Foundations of Geometry' and 'Letters to Mersenne'

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8 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 / A. Nature of Mathematics / 2. Geometry

13472

Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD]

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

9546	Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara]

18742

Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew]

18217

Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]

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]