Combining Texts

All the ideas for 'works', 'The Blue and Brown Notebooks' 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]

16. Persons / D. Continuity of the Self / 3. Reference of 'I'

22419

'I' is a subject in 'I am in pain' and an object in 'I am bleeding' [Wittgenstein, by McGinn]

19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation

6318	The doctrine of indeterminacy of translation seems implied by the later Wittgenstein [Wittgenstein, by Quine]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

20239

Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]