Combining Texts

All the ideas for 'The Search After Truth', 'On Assertion and Indicative Conditionals' and 'works'

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9 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]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16669 Everything that exists is either a being, or some mode of a being [Malebranche]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
14288 'If A,B' affirms that A⊃B, and also that this wouldn't change if A were certain [Jackson, by Edgington]
13769 Conditionals are truth-functional, but should only be asserted when they are confident [Jackson, by Edgington]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
12726 In a true cause we see a necessary connection [Malebranche]