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Ideas of Gerhard Gentzen, by Text
[German, 1909  1945, Pupil of Weyl. Professor at Prague. A Nazi, starved to death after the war.]
1935

Investigations into Logical Deduction


p.231

13832

Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Hacking]


p.63

11065

The inferential role of a logical constant constitutes its meaning [Hanna]


p.126

10067

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


p.228

11022

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


p.229

11023

The logical connectives are 'defined' by their introduction rules

II.5.13

p.787

11213

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