Combining Texts

All the ideas for 'Plural Quantification', 'God in Plato' and 'The Case for Closure'

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16 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
2. Reason / D. Definition / 12. Paraphrase
'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A pure logic is wholly general, purely formal, and directly known [Linnebo]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Second-order quantification and plural quantification are different [Linnebo]
Traditionally we eliminate plurals by quantifying over sets [Linnebo]
Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
Plural plurals are unnatural and need a first-level ontology [Linnebo]
Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Ordinary speakers posit objects without concern for ontology [Linnebo]
11. Knowledge Aims / B. Certain Knowledge / 2. Common Sense Certainty
Commitment to 'I have a hand' only makes sense in a context where it has been doubted [Hawthorne]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / c. Knowledge closure
How can we know the heavyweight implications of normal knowledge? Must we distort 'knowledge'? [Hawthorne]
We wouldn't know the logical implications of our knowledge if small risks added up to big risks [Hawthorne]
Denying closure is denying we know P when we know P and Q, which is absurd in simple cases [Hawthorne]
19. Language / C. Assigning Meanings / 3. Predicates
Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The only legitimate proof of God by order derives from beauty [Weil]