Combining Texts

Ideas for 'Thinking About Mathematics', 'Towards a Universal Characteristic' and 'Thought and Reality'

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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 / D. Assumptions for Logic / 1. Bivalence

8173	Language can violate bivalence because of non-referring terms or ill-defined predicates [Dummett]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

8179	The law of excluded middle is the logical reflection of the principle of bivalence [Dummett]

8729	Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]

5. Theory of Logic / K. Features of Logics / 5. Incompleteness

19391

We can assign a characteristic number to every single object [Leibniz]