Combining Philosophers

All the ideas for Jeremiah, Jonathan Barnes and Michael Hallett

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17833 The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
17834 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
17837 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
17836 The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9074 Abstraction cannot produce the concept of a 'game', as there is no one common feature [Barnes,J]
9073 Abstraction from an ambiguous concept like 'mole' will define them as the same [Barnes,J]
9072 Defining concepts by abstractions will collect together far too many attributes from entities [Barnes,J]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
7346 Jeremiah implied a link between weakness and goodness, and the evil of the state [Jeremiah, by Johnson,P]
28. God / A. Divine Nature / 3. Divine Perfections
22920 Do I not fill heaven and earth? saith the Lord [Jeremiah]
28. God / C. Attitudes to God / 3. Deism
22089 Am I a God afar off, and not a God close at hand? [Jeremiah]