Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Recent Debates on the A Priori' and 'works'

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8 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics

21959

Metaphysics is the most general attempt to make sense of things [Moore,AW]

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 / A. Nature of Mathematics / 1. Mathematics

9226	If mathematical theories conflict, it may just be that they have different subject matter [Field,H]

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 / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

21958

Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]