Combining Texts

All the ideas for 'On the Nature of Mathematical Reasoning', 'Towards a Universal Characteristic' and '67: Platonic Questions'

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5 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
'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
We can assign a characteristic number to every single object [Leibniz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Everything is subsumed under number, which is a metaphysical statics of the universe, revealing powers [Leibniz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]