Combining Texts

All the ideas for 'The Courtier and the Heretic', 'works' and 'Meaning and Reference'

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13 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
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
The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]
The logical connectives are 'defined' by their introduction rules [Gentzen]
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
Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
A statement can be metaphysically necessary and epistemologically contingent [Putnam]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Conceivability is no proof of possibility [Putnam]
18. Thought / C. Content / 6. Broad Content
I can't distinguish elm trees, but I mean by 'elm' the same set of trees as everybody else [Putnam]
'Water' has an unnoticed indexical component, referring to stuff around here [Putnam]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
We need to recognise the contribution of society and of the world in determining reference [Putnam]
19. Language / F. Communication / 4. Private Language
Language is more like a cooperative steamship than an individual hammer [Putnam]
24. Political Theory / D. Ideologies / 10. Theocracy
The politics of Leibniz was the reunification of Christianity [Stewart,M]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If water is H2O in the actual world, there is no possible world where it isn't H2O [Putnam]