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All the ideas for '', 'Sets, Aggregates and Numbers' and 'Deflating Existential Consequence'

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21 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
12442 'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
12439 Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
12437 Truth lets us assent to sentences we can't explicitly exhibit [Azzouni]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
11211 If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
11210 Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
11212 The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
12446 Names function the same way, even if there is no object [Azzouni]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
12447 That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni]
7. Existence / D. Theories of Reality / 7. Fictionalism
12445 If fictional objects really don't exist, then they aren't abstract objects [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
12449 Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
12440 If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
12438 In the vernacular there is no unequivocal ontological commitment [Azzouni]
12441 We only get ontology from semantics if we have already smuggled it in [Azzouni]
9. Objects / A. Existence of Objects / 4. Impossible objects
12448 Things that don't exist don't have any properties [Azzouni]
19. Language / F. Communication / 3. Denial
11214 We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
27. Natural Reality / F. Chemistry / 3. Periodic Table
12450 The periodic table not only defines the elements, but also excludes other possible elements [Azzouni]