Combining Philosophers

Ideas for H.Putnam/P.Oppenheim, Fred Sommers and Gerhard Gentzen

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6 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

18893

Translating into quantificational idiom offers no clues as to how ordinary thinkers reason [Sommers]

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 / E. Structures of Logic / 2. Logical Connectives / c. not

18903

Sommers promotes the old idea that negation basically refers to terms [Sommers, by Engelbretsen]

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

18894

Predicates form a hierarchy, from the most general, down to names at the bottom [Sommers]