Combining Philosophers

All the ideas for Zoroaster, Robert Merrihew Adams and Alan Musgrave

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24 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
Formalism is a bulwark of logical positivism [Musgrave]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
A 'thisness' is a thing's property of being identical with itself (not the possession of self-identity) [Adams,RM]
There are cases where mere qualities would not ensure an intrinsic identity [Adams,RM]
Adams says actual things have haecceities, but not things that only might exist [Adams,RM, by Stalnaker]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essences are taken to be qualitative properties [Adams,RM]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If the universe was cyclical, totally indiscernible events might occur from time to time [Adams,RM]
Two events might be indiscernible yet distinct, if there was a universe cyclical in time [Adams,RM]
Black's two globes might be one globe in highly curved space [Adams,RM]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
Are possible worlds just qualities, or do they include primitive identities as well? [Adams,RM]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
Possible worlds are world-stories, maximal descriptions of whole non-existent worlds [Adams,RM, by Molnar]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
Adams says anti-haecceitism reduces all thisness to suchness [Adams,RM, by Stalnaker]
Haecceitism may or may not involve some logical connection to essence [Adams,RM, by Mackie,P]
Moderate Haecceitism says transworld identities are primitive, but connected to qualities [Adams,RM]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
19. Language / B. Reference / 3. Direct Reference / a. Direct reference
Direct reference is by proper names, or indexicals, or referential uses of descriptions [Adams,RM]
29. Religion / B. Monotheistic Religion / 1. Monotheistic Religion
Zoroaster and the Hebrew prophets evolved different versions of monotheism [Zoroaster, by Armstrong,K]
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
Zarathustra was the first to present a god who is an abstract concept [Zoroaster]
Zoroastrianism saw the world as a battle between good evil gods [Zoroaster, by Harari]