Combining Texts

All the ideas for 'Philosophical Fragments', 'The Identity of Indiscernibles' and 'Towards a Universal Characteristic'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10196 The Axiom of Choice needs a criterion of choice [Black]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
19370 'Blind thought' is reasoning without recognition of the ingredients of the reasoning [Leibniz, by Arthur,R]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
19391 We can assign a characteristic number to every single object [Leibniz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
19390 Everything is subsumed under number, which is a metaphysical statics of the universe, revealing powers [Leibniz]
7. Existence / A. Nature of Existence / 5. Reason for Existence
16007 I assume existence, rather than reasoning towards it [Kierkegaard]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
10194 Two things can only be distinguished by a distinct property or a distinct relation [Black]
9. Objects / F. Identity among Objects / 5. Self-Identity
10193 The 'property' of self-identity is uselessly tautological [Black]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
10195 If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black]
10. Modality / A. Necessity / 2. Nature of Necessity
16013 Nothing necessary can come into existence, since it already 'is' [Kierkegaard]