Combining Texts

All the ideas for 'fragments/reports', 'Preface to 'Principles of Philosophy'' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science

21962

Metaphysics is the roots of the tree of science [Descartes]

2. Reason / F. Fallacies / 4. Circularity

3659	I know the truth that God exists and is the author of truth [Descartes]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

3340	Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory

3355	Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

22716

Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

3657	Understanding, not the senses, gives certainty [Descartes]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]

28. God / C. Attitudes to God / 5. Atheism

3660	Atheism arises from empiricism, because God is intangible [Descartes]