Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Towards a Universal Characteristic' and 'New Proof of Possibility of Well-Ordering'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

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 / c. Counting procedure

17447

Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]

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]

18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement

17613

We should judge principles by the science, not science by some fixed principles [Zermelo]