Combining Philosophers

All the ideas for Jody Azzouni, Proclus and George Boole

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18 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Truth lets us assent to sentences we can't explicitly exhibit [Azzouni]
4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names function the same way, even if there is no object [Azzouni]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni]
7. Existence / D. Theories of Reality / 7. Fictionalism
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
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
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
In the vernacular there is no unequivocal ontological commitment [Azzouni]
We only get ontology from semantics if we have already smuggled it in [Azzouni]
9. Objects / A. Existence of Objects / 4. Impossible objects
Things that don't exist don't have any properties [Azzouni]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Geometrical proofs do not show causes, as when we prove a triangle contains two right angles [Proclus]
18. Thought / E. Abstraction / 1. Abstract Thought
The origin of geometry started in sensation, then moved to calculation, and then to reason [Proclus]
27. Natural Reality / F. Chemistry / 3. Periodic Table
The periodic table not only defines the elements, but also excludes other possible elements [Azzouni]