Combining Texts

All the ideas for 'fragments/reports', 'The Architecture of Mathematics' and 'Commentary on Euclid's 'Elements''

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5 ideas

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]

14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations

13165

Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]

15. Nature of Minds / A. Nature of Mind / 1. Mind / d. Location of mind

5987	Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von]

18. Thought / E. Abstraction / 1. Abstract Thought

9569	The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]

29. Religion / D. Religious Issues / 2. Immortality / b. Soul

24043

Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle]