Combining Texts

All the ideas for 'fragments/reports', 'Sentences' and 'works'

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9 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]

8. Modes of Existence / A. Relations / 1. Nature of Relations

18528

The single imagined 'interval' between things only exists in the intellect [Auriol]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter

16589

Prime matter lacks essence, but is only potentially and indeterminately a physical thing [Auriol]

28. God / A. Divine Nature / 4. Divine Contradictions

16651

God can do anything non-contradictory, as making straightness with no line, or lightness with no parts [Auriol]