Combining Philosophers

All the ideas for Aeschylus, Gerhard Gentzen and Peter Carruthers

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10 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]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

13832

Natural deduction shows the heart of reasoning (and sequent calculus is just a tool) [Gentzen, by Hacking]

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]

16. Persons / B. Nature of the Self / 5. Self as Associations

1394	Can the mental elements of a 'bundle' exist on their own? [Carruthers]

1395	Why would a thought be a member of one bundle rather than another? [Carruthers]

16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity

1396	We identify persons before identifying conscious states [Carruthers]

25. Social Practice / D. Justice / 2. The Law / b. Rule of law

7810	The 'Eumenides' of Aeschylus shows blood feuds replaced by law [Aeschylus, by Grayling]