Combining Texts

All the ideas for 'fragments/reports', 'What is Cantor's Continuum Problem?' and 'There is immediate Justification'

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13 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]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
An experience's having propositional content doesn't make it a belief [Pryor]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / e. Pro-foundations
The best argument for immediate justification is not the Regress Argument, but considering examples [Pryor]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Impure coherentists accept that perceptions can justify, unlike pure coherentists [Pryor]
Coherentism rests on the claim that justifications must be beliefs, with propositional content [Pryor]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Reasons for beliefs can be cited to others, unlike a raw headache experience [Pryor]
13. Knowledge Criteria / C. External Justification / 5. Controlling Beliefs
Beliefs are not chosen, but you can seek ways to influence your belief [Pryor]
23. Ethics / A. Egoism / 1. Ethical Egoism
The greatest good is not the achievement of desire, but to desire what is proper [Menedemus, by Diog. Laertius]