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All the ideas for 'Letters to Edward Stillingfleet', 'Consciousness, Philosophy and Mathematics' and 'works'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

8728	Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]

9. Objects / D. Essence of Objects / 3. Individual Essences

15990

Every individual thing which exists has an essence, which is its internal constitution [Locke]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

15994

If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]