Combining Texts

All the ideas for 'Logical Consequence', 'Modal Logic as Metaphysics' and 'When Does a Life Begin?'

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12 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]
25. Social Practice / F. Life Issues / 3. Abortion
I may exist before I become a person, just as I exist before I become an adult [Lockwood]
It isn't obviously wicked to destroy a potential human being (e.g. an ununited egg and sperm) [Lockwood]
If the soul is held to leave the body at brain-death, it should arrive at the time of brain-creation [Lockwood]