Combining Texts

All the ideas for 'works', 'On Relations of Universals and Particulars' and 'works'

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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]

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]

7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience

16045

General facts supervene on particular facts, but cannot be inferred from them [Russell, by Bennett,K]

8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes

14327

Trope theorists cannot explain how tropes resemble each other [Russell, by Mumford]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

7667	There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin]