Combining Philosophers

All the ideas for Aenesidemus, Chilo and Gerhard Gentzen

expand these ideas     |    start again     |     specify just one area for these philosophers

---

8 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]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13832

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

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]

22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics

6040	There is no universal goal to human life [Aenesidemus, by Photius]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

3015	The virtue of man is thoughtful foresight of future events [Chilo, by Diog. Laertius]