Combining Texts

All the ideas for 'Against Structural Universals', 'Contextualist Solutions to Scepticism' and 'On Second-Order Logic'

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

26 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249 Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
10830 Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829 A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832 '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834 Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841 Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10833 Many concepts can only be expressed by second-order logic [Boolos]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
15435 If you think universals are immanent, you must believe them to be sparse, and not every related predicate [Lewis]
8. Modes of Existence / B. Properties / 5. Natural Properties
15451 I assume there could be natural properties that are not instantiated in our world [Lewis]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
15433 Tropes are particular properties, which cannot recur, but can be exact duplicates [Lewis]
8. Modes of Existence / D. Universals / 2. Need for Universals
15436 Universals are meant to give an account of resemblance [Lewis]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
15438 We can add a primitive natural/unnatural distinction to class nominalism [Lewis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
15448 The 'magical' view of structural universals says they are atoms, even though they have parts [Lewis]
15449 If 'methane' is an atomic structural universal, it has nothing to connect it to its carbon universals [Lewis]
15439 The 'pictorial' view of structural universals says they are wholes made of universals as parts [Lewis]
15441 The structural universal 'methane' needs the universal 'hydrogen' four times over [Lewis]
15445 Butane and Isobutane have the same atoms, but different structures [Lewis]
15434 Structural universals have a necessary connection to the universals forming its parts [Lewis]
15437 We can't get rid of structural universals if there are no simple universals [Lewis]
9. Objects / C. Structure of Objects / 5. Composition of an Object
15446 Composition is not just making new things from old; there are too many counterexamples [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
15440 A whole is distinct from its parts, but is not a further addition in ontology [Lewis]
15444 Different things (a toy house and toy car) can be made of the same parts at different times [Lewis]
13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / a. Contextualism
19508 Contextualism needs a semantics for knowledge sentences that are partly indexical [Schiffer,S]
19509 The indexical aspect of contextual knowledge might be hidden, or it might be in what 'know' means [Schiffer,S]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
15450 Maybe abstraction is just mereological subtraction [Lewis]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
15443 Mathematicians abstract by equivalence classes, but that doesn't turn a many into one [Lewis]