Combining Texts

All the ideas for 'Posthumous notes', 'City of God' 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]

11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito

3912	I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism

21971

Transcendental philosophy is the subject becoming the originator of unified reality [Kant]

17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism

6683	The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]