Ideas from 'Philosophical Logic: Intro to Advanced Topics' by Engelbretsen,G/Sayward,C [2011], by Theme Structure
[found in 'Philosophical Logic: Intro to Advanced Topics' by Engelbretsen,G/Sayward,C [Continuum 2011,9781441119117]].
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4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
13913

The four 'perfect syllogisms' are called Barbara, Celarent, Darii and Ferio

13914

Syllogistic logic has one rule: what is affirmed/denied of wholes is affirmed/denied of their parts

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13915

Syllogistic can't handle sentences with singular terms, or relational terms, or compound sentences

4. Formal Logic / A. Syllogistic Logic / 3. Term Logic
13916

Term logic uses expression letters and brackets, and '' for negative terms, and '+' for compound terms

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13850

In modern logic all formal validity can be characterised syntactically

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
13849

Classical logic rests on truth and models, where constructivist logic rests on defence and refutation

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
13851

Unlike most other signs, = cannot be eliminated

5. Theory of Logic / K. Features of Logics / 5. Incompleteness
13852

Axioms are ωincomplete if the instances are all derivable, but the universal quantification isn't
