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
13912

Aristotle replace Plato's nounverb form with unions of pairs of terms by one of four 'copulae'

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
