Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Truth is not the Primary Epistemic Goal' and 'Introduction to Zermelo's 1930 paper'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
Epistemology does not just concern knowledge; all aspects of cognitive activity are involved [Kvanvig]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Making sense of things, or finding a good theory, are non-truth-related cognitive successes [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
The 'defeasibility' approach says true justified belief is knowledge if no undermining facts could be known [Kvanvig]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
Reliabilism cannot assess the justification for propositions we don't believe [Kvanvig]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]