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Single Idea 11022

[filed under theme 5. Theory of Logic / A. Overview of Logic / 2. History of Logic ]

Full Idea

Gentzen introduced a natural deduction calculus (NK) in 1934.

Clarification

'Natural deduction' is all rules and few axioms

Gist of Idea

Gentzen introduced a natural deduction calculus (NK) in 1934

Source

report of Gerhard Gentzen (works [1938]) by Stephen Read - Thinking About Logic Ch.8

Book Ref

Read,Stephen: 'Thinking About Logic' [OUP 1995], p.228

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The 5 ideas from 'works'

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

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]

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]