Combining Texts

Ideas for 'Realism in Mathematics', 'works' and 'Plural Quantification Exposed'

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7 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 / A. Overview of Logic / 4. Pure Logic

10781

A 'pure logic' must be ontologically innocent, universal, and without presuppositions [Linnebo]

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 / G. Quantification / 6. Plural Quantification

10778

Can second-order logic be ontologically first-order, with all the benefits of second-order? [Linnebo]

10783

Plural quantification depends too heavily on combinatorial and set-theoretic considerations [Linnebo]