Combining Texts

All the ideas for 'fragments/reports', 'What Numbers Are' and 'Preface to 'Principles of Philosophy''

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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]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

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

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

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]

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

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