Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Principle of Life and Plastic Natures' and 'On Platonism in Mathematics'

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12 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
12. Knowledge Sources / B. Perception / 1. Perception
Not all of perception is accompanied by consciousness [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz]
22. Metaethics / B. Value / 2. Values / e. Death
Death and generation are just transformations of an animal, augmented or diminished [Leibniz]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / a. Early Modern matter
Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz]
Every particle of matter contains organic bodies [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
All substances are in harmony, even though separate, so they must have one divine cause [Leibniz]