Combining Texts

All the ideas for 'Conceptions of Truth', 'Principles of Nature and Grace based on Reason' and 'What Numbers Are'

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8 ideas

2. Reason / D. Definition / 12. Paraphrase

18491

The idea of 'making' can be mere conceptual explanation (like 'because') [Künne]

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]

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]

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

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