Combining Texts

All the ideas for 'The Problem of the Essential Indexical', 'Letter Seven' and 'Introduction to Zermelo's 1930 paper'

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11 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 / 4. Belief / b. Elements of beliefs
Indexicals are a problem for beliefs being just subject-proposition relations [Perry]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
If we replace 'I' in sentences about me, they are different beliefs and explanations of behaviour [Perry]
Indexicals individuate certain belief states, helping in explanation and prediction [Perry]
19. Language / D. Propositions / 6. Propositions Critique
Indexicals reveal big problems with the traditional idea of a proposition [Perry]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
To understand morality requires a soul [Plato]
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
Tense is essential for thought and action [Perry, by Le Poidevin]
Actual tensed sentences cannot be tenseless, because they can cite their own context [Perry, by Le Poidevin]