Combining Texts

All the ideas for 'works', 'works' and 'Why Reason Can't be Naturalized'

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

---

7 ideas

1. Philosophy / A. Wisdom / 2. Wise People

15833

Tell cleverness from answers, but wisdom from questions [Mahfouz]

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth

8828	Truth is rational acceptability [Putnam]

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]