Combining Texts

All the ideas for 'Logical Consequence', 'Modal Logic as Metaphysics' and 'Introductions to Utilitarianism and its Critics'

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15 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 / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
If talking donkeys are possible, something exists which could be a talking donkey [Williamson, by Cameron]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
You can't separate acts from the people performing them [Glover]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Aggression in defence may be beneficial but morally corrupting [Glover]
23. Ethics / D. Deontological Ethics / 1. Deontology
Duty prohibits some acts, whatever their consequences [Glover]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Satisfaction of desires is not at all the same as achieving happiness [Glover, by PG]
23. Ethics / E. Utilitarianism / 5. Rule Utilitarianism
Rule-utilitarianism is either act-utilitarianism, or not really utilitarian [Glover]
24. Political Theory / A. Basis of a State / 2. Population / a. Human population
How can utilitarianism decide the ideal population size? [Glover]