Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Preface to 'Principles of Philosophy'' and 'Mathematics without Numbers'

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics is the roots of the tree of science [Descartes]
2. Reason / F. Fallacies / 4. Circularity
I know the truth that God exists and is the author of truth [Descartes]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
Understanding, not the senses, gives certainty [Descartes]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
28. God / C. Attitudes to God / 5. Atheism
Atheism arises from empiricism, because God is intangible [Descartes]