Combining Philosophers

Ideas for Epicurus, Engelbretsen,G/Sayward,C and Scott Sturgeon

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6 ideas

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

13850

In modern logic all formal validity can be characterised syntactically [Engelbretsen/Sayward]

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 [Engelbretsen/Sayward]

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

21668

Epicurus rejected excluded middle, because accepting it for events is fatalistic [Epicurus, by Cicero]

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

13851

Unlike most other signs, = cannot be eliminated [Engelbretsen/Sayward]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or

21676

Epicureans say disjunctions can be true whiile the disjuncts are not true [Epicurus, by Cicero]

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

13852

Axioms are ω-incomplete if the instances are all derivable, but the universal quantification isn't [Engelbretsen/Sayward]