Combining Philosophers

All the ideas for Cleanthes, Thoralf Skolem and David Kaplan

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22 ideas

1. Philosophy / D. Nature of Philosophy / 4. Divisions of Philosophy
Six parts: dialectic, rhetoric, ethics, politics, physics, theology [Cleanthes, by Diog. Laertius]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Skolem did not believe in the existence of uncountable sets [Skolem]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logicians like their entities to exhibit a maximum degree of purity [Kaplan]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
For Russell, expressions dependent on contingent circumstances must be eliminated [Kaplan]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
9. Objects / C. Structure of Objects / 7. Substratum
Models nicely separate particulars from their clothing, and logicians often accept that metaphysically [Kaplan]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
The simplest solution to transworld identification is to adopt bare particulars [Kaplan]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Unusual people may have no counterparts, or several [Kaplan]
Essence is a transworld heir line, rather than a collection of properties [Kaplan]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
'Haecceitism' says that sameness or difference of individuals is independent of appearances [Kaplan]
'Haecceitism' is common thisness under dissimilarity, or distinct thisnesses under resemblance [Kaplan]
If quantification into modal contexts is legitimate, that seems to imply some form of haecceitism [Kaplan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
Bodies interact with other bodies, and cuts cause pain, and shame causes blushing, so the soul is a body [Cleanthes, by Nemesius]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
The soul suffers when the body hurts, creates redness from shame, and pallor from fear [Cleanthes]
19. Language / A. Nature of Meaning / 8. Synonymy
Sentences might have the same sense when logically equivalent - or never have the same sense [Kaplan]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Are causal descriptions part of the causal theory of reference, or are they just metasemantic? [Kaplan, by Schaffer,J]
19. Language / C. Assigning Meanings / 10. Two-Dimensional Semantics
Indexicals have a 'character' (the standing meaning), and a 'content' (truth-conditions for one context) [Kaplan, by Macià/Garcia-Carpentiro]
'Content' gives the standard modal profile, and 'character' gives rules for a context [Kaplan, by Schroeter]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
The ascending scale of living creatures requires a perfect being [Cleanthes, by Tieleman]