Combining Texts

All the ideas for 'fragments/reports', 'works' and 'Tonk, Plonk and Plink'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

23367

Even pointing a finger should only be done for a reason [Epictetus]

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]

14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation

17897

Analytic explanation is wholes in terms of parts; synthetic is parts in terms of wholes or contexts [Belnap]