Combining Texts

All the ideas for 'reports', 'On Anger (Book 3)' and 'Logical Consequence'

expand these ideas     |    start again     |     specify just one area for these texts


13 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
10. Modality / A. Necessity / 8. Transcendental Necessity
Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
True greatness is never allowing events to disturb you [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Every night I critically review how I have behaved during the day [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca]
Anger is a vice which afflicts good men as well as bad [Seneca]