Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Principles of Nature and Grace based on Reason' and 'works'

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7 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

7. Existence / A. Nature of Existence / 5. Reason for Existence

5062	First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz]

7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads

19377

A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz]

12. Knowledge Sources / B. Perception / 1. Perception

19353

'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz]

15. Nature of Minds / A. Nature of Mind / 7. Animal Minds

5061	Animals are semi-rational because they connect facts, but they don't see causes [Leibniz]

18. Thought / E. Abstraction / 8. Abstractionism Critique

8638	Thomae's idea of abstract from peculiarities gives a general concept, and leaves the peculiarities [Frege on Thomae]

21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music

5063	Music charms, although its beauty is the harmony of numbers [Leibniz]