Combining Texts

All the ideas for 'Events', 'works' and 'fragments/reports'

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10 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]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
9413 An event is a change in or to an object [Lombard, by Mumford]
10. Modality / A. Necessity / 10. Impossibility
5998 From the necessity of the past we can infer the impossibility of what never happens [Diod.Cronus, by White,MJ]
10. Modality / B. Possibility / 1. Possibility
20832 The Master Argument seems to prove that only what will happen is possible [Diod.Cronus, by Epictetus]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
14304 Conditionals are true when the antecedent is true, and the consequent has to be true [Diod.Cronus]
19. Language / D. Propositions / 4. Mental Propositions
6024 Thought is unambiguous, and you should stick to what the speaker thinks they are saying [Diod.Cronus, by Gellius]