Combining Texts

All the ideas for 'fragments/reports', 'The Architecture of Mathematics' and 'Preface to 'Principles of Philosophy''

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

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6 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]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

10190

From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki]

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]