Combining Texts

All the ideas for 'A Puzzle about Belief', 'Moral Thinking: Its Levels,Method and Point' and 'Continuity and Irrational Numbers'

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10 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
18. Thought / B. Mechanics of Thought / 5. Mental Files
Puzzled Pierre has two mental files about the same object [Recanati on Kripke]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Hare says I acquire an agglomeration of preferences by role-reversal, leading to utilitarianism [Hare, by Williams,B]
If we have to want the preferences of the many, we have to abandon our own deeply-held views [Williams,B on Hare]
If morality is to be built on identification with the preferences of others, I must agree with their errors [Williams,B on Hare]
A judgement is presciptive if we expect it to be acted on [Hare]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
By far the easiest way of seeming upright is to be upright [Hare]