Combining Texts

All the ideas for 'Content Preservation', 'Introduction to Zermelo's 1930 paper' and 'No Moral Difference'

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7 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]
13. Knowledge Criteria / C. External Justification / 1. External Justification
Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
25. Social Practice / F. Life Issues / 2. Euthanasia
If it is desirable that a given patient die, then moral objections to killing them do not apply [Rachels]
It has become normal to consider passive euthanasia while condemning active euthanasia [Rachels]