Saved from the Cellar Gerhard Gentze’s Shorthand Notes on Logic and Foundations of Mathematics 1st Edition by Jan Von Plato ISBN 3319421190 9783319421193

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Product details:

ISBN 10:        3319421190
ISBN 13: 978-3319421193
Author:     Jan Von Plato

Saved from the Cellar Gerhard Gentze’s Shorthand Notes on Logic and Foundations of Mathematics 1st Table of contents:

Part I: A sketch of Gentzen’s life and work

1 Overture

2. Gentzen’s years of study

3. Dr. Gentzen’s arduous years in Nazi Germany, 1933–45

4. The scientific accomplishments

5. Loose ends

6. Gentzen’s genius

Part II: An overview of the shorthand notes

1 Gentzen’s series of stenographic manuscripts

2 The items in this collection

3 Practical remarks on the manuscripts

4 Manuscript illustrations

Part III: The original writings

1 Reduction of number-theoretic problems to predicate logic

2 Replacement of functions by predicates

3 Correspondence in the beginning of mathematics

4. Five different forms of natural calculi

5 Formal conception of correctness in arithmetic I

6 Investigations into Logical Inference

7 Reduction of classical to intuitionistic logic

8 CV of the candidate Gerhard Gentzen.

9 Letters to Heyting

10 Formal conception of correctness in arithmetic II

11 Proof theory of number theory

12 Consistency of arithmetic, for publication

13 Correspondence with Paul Bernays

14 Forms of type theory

15 Predicate logic

15. Predicate logic

16 Propositional logic

17 Book: Mathematical Foundational Research

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