Combining Texts

All the ideas for 'The Really Hard Problem', 'Naming and Necessity notes and addenda' and 'Philosophy of Mathematics'

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29 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naďve logical sets
Naďve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
9. Objects / A. Existence of Objects / 5. Simples
We might fix identities for small particulars, but it is utopian to hope for such things [Kripke]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
A different piece of wood could have been used for that table; constitution isn't identity [Wiggins on Kripke]
9. Objects / F. Identity among Objects / 5. Self-Identity
A relation can clearly be reflexive, and identity is the smallest reflexive relation [Kripke]
9. Objects / F. Identity among Objects / 9. Sameness
A vague identity may seem intransitive, and we might want to talk of 'counterparts' [Kripke]
10. Modality / A. Necessity / 7. Natural Necessity
What many people consider merely physically necessary I consider completely necessary [Kripke]
What is often held to be mere physical necessity is actually metaphysical necessity [Kripke]
10. Modality / B. Possibility / 1. Possibility
Unicorns are vague, so no actual or possible creature could count as a unicorn [Kripke]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds are useful in set theory, but can be very misleading elsewhere [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
Kaplan's 'Dthat' is a useful operator for transforming a description into a rigid designation [Kripke]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
The best known objection to counterparts is Kripke's, that Humphrey doesn't care if his counterpart wins [Kripke, by Sider]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
The a priori analytic truths involving fixing of reference are contingent [Kripke]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
I regard the mind-body problem as wide open, and extremely confusing [Kripke]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Research suggest that we overrate conscious experience [Flanagan]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Sensations may be identical to brain events, but complex mental events don't seem to be [Flanagan]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
A description may fix a reference even when it is not true of its object [Kripke]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
Even if Gödel didn't produce his theorems, he's still called 'Gödel' [Kripke]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Morality is normative because it identifies best practices among the normal practices [Flanagan]
22. Metaethics / B. Value / 2. Values / f. Altruism
For Darwinians, altruism is either contracts or genetics [Flanagan]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
We need Eudaimonics - the empirical study of how we should flourish [Flanagan]
24. Political Theory / D. Ideologies / 9. Communism
Alienation is not finding what one wants, or being unable to achieve it [Flanagan]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Buddhists reject God and the self, and accept suffering as key, and liberation through wisdom [Flanagan]