Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Necessity, Essence and Individuation' and 'Lewis: reduction of mind (on himself)'

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40 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Metaphysics is clarifying how we speak and think (and possibly improving it) [Sidelle]
2. Reason / E. Argument / 1. Argument
Arguments are nearly always open to challenge, but they help to explain a position rather than force people to believe [Lewis]
2. Reason / E. Argument / 7. Thought Experiments
We seem to base necessities on thought experiments and imagination [Sidelle]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
We perceive the objects of set theory, just as we perceive with our senses [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / o. Axiom of Constructibility V = L
Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
Set-theory paradoxes are no worse than sense deception in physics [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg]
If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Basic mathematics is related to abstract elements of our empirical ideas [Gödel]
7. Existence / C. Structure of Existence / 2. Reduction
The whole truth supervenes on the physical truth [Lewis]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Where pixels make up a picture, supervenience is reduction [Lewis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
There doesn't seem to be anything in the actual world that can determine modal facts [Sidelle]
9. Objects / D. Essence of Objects / 2. Types of Essence
Causal reference presupposes essentialism if it refers to modally extended entities [Sidelle]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
Clearly, essential predications express necessary properties [Sidelle]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Being a deepest explanatory feature is an actual, not a modal property [Sidelle]
9. Objects / D. Essence of Objects / 15. Against Essentialism
That the essence of water is its microstructure is a convention, not a discovery [Sidelle]
9. Objects / F. Identity among Objects / 3. Relative Identity
We aren't clear about 'same stuff as this', so a principle of individuation is needed to identify it [Sidelle]
10. Modality / A. Necessity / 4. De re / De dicto modality
Evaluation of de dicto modalities does not depend on the identity of its objects [Sidelle]
10. Modality / C. Sources of Modality / 3. Necessity by Convention
Necessary a posteriori is conventional for necessity and nonmodal for a posteriority [Sidelle, by Sider]
To know empirical necessities, we need empirical facts, plus conventions about which are necessary [Sidelle]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
The necessary a posteriori is statements either of identity or of essence [Sidelle]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Empiricism explores necessities and concept-limits by imagining negations of truths [Sidelle]
Contradictoriness limits what is possible and what is imaginable [Sidelle]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
The individuals and kinds involved in modality are also a matter of convention [Sidelle]
10. Modality / E. Possible worlds / 3. Transworld Objects / b. Rigid designation
A thing doesn't need transworld identity prior to rigid reference - that could be a convention of the reference [Sidelle]
'Dthat' operates to make a singular term into a rigid term [Sidelle]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
A priori knowledge is entirely of analytic truths [Sidelle]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
A mind is an organ of representation [Lewis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Human pain might be one thing; Martian pain might be something else [Lewis]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
I am a reductionist about mind because I am an a priori reductionist about everything [Lewis]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology makes good predictions, by associating mental states with causal roles [Lewis]
18. Thought / B. Mechanics of Thought / 4. Language of Thought
Folk psychology doesn't say that there is a language of thought [Lewis]
18. Thought / C. Content / 5. Twin Earth
That water is essentially H2O in some way concerns how we use 'water' [Sidelle]
18. Thought / C. Content / 6. Broad Content
If you don't share an external world with a brain-in-a-vat, then externalism says you don't share any beliefs [Lewis]
Nothing shows that all content is 'wide', or that wide content has logical priority [Lewis]
A spontaneous duplicate of you would have your brain states but no experience, so externalism would deny him any beliefs [Lewis]
Wide content derives from narrow content and relationships with external things [Lewis]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Causal reference seems to get directly at the object, thus leaving its nature open [Sidelle]
19. Language / B. Reference / 5. Speaker's Reference
Because some entities overlap, reference must have analytic individuation principles [Sidelle]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Can anything in science reveal the necessity of what it discovers? [Sidelle]