Combining Texts

All the ideas for 'Logical Consequence', 'Katzav on limitations of dispositions' and 'works'

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16 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]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Study the use of words, not their origins [Herder]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
We cannot attain all the ideals of every culture, so there cannot be a perfect life [Herder, by Berlin]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Herder invented the idea of being rooted in (or cut off from) a home or a group [Herder, by Berlin]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
The natural kinds are objects, processes and properties/relations [Ellis]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Least action is not a causal law, but a 'global law', describing a global essence [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
A species requires a genus, and its essence includes the essence of the genus [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
A hierarchy of natural kinds is elaborate ontology, but needed to explain natural laws [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Without general principles, we couldn't predict the behaviour of dispositional properties [Ellis]