Combining Texts

All the ideas for 'poems', 'The Foundations of Empirical Knowledge' 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]

11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism

8824	No one has defended translational phenomenalism since Ayer in 1940 [Ayer, by Kim]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention

6017	Nomos is king [Pindar]

26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity

15251

The attribution of necessity to causation is either primitive animism, or confusion with logical necessity [Ayer]