Combining Texts

All the ideas for 'What is Cantor's Continuum Problem?st1=Kurt Gödel', 'Introduction to 'Causation'' and 'Letters to Remond de Montmort'

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16 ideas

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]
10. Modality / C. Sources of Modality / 2. Necessity as Primitive
Some necessary truths are brute, and others derive from final causes [Leibniz]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / c. Parts of consciousness
Our large perceptions and appetites are made up tiny unconscious fragments [Leibniz]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Passions reside in confused perceptions [Leibniz]
26. Natural Theory / C. Causation / 1. Causation
The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley]
26. Natural Theory / C. Causation / 4. Naturalised causation
Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley]
If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley]
28. God / A. Divine Nature / 2. Divine Nature
God produces possibilities, and thus ideas [Leibniz]