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Ideas for 'Defending the Axioms', 'Trees, Terms and Truth' and 'Calculus Ratiocinator'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

18912

Was logic a branch of mathematics, or mathematics a branch of logic? [Engelbretsen]

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

17620

Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]

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

18922

Logical syntax is actually close to surface linguistic form [Engelbretsen]

18905

Propositions can be analysed as pairs of terms glued together by predication [Engelbretsen]

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

18908

Standard logic only negates sentences, even via negated general terms or predicates [Engelbretsen]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

17605

Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]

17625

If two mathematical themes coincide, that suggest a single deep truth [Maddy]