Combining Texts

All the ideas for 'fragments/reports', 'Elements of Intuitionism' and 'Moral Arguments'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite
Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
For intuitionists it is constructed proofs (which take time) which make statements true [Dummett]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Moral judgements need more than the relevant facts, if the same facts lead to 'x is good' and 'x is bad' [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We can't affirm a duty without saying why it matters if it is not performed [Foot]
Whether someone is rude is judged by agreed criteria, so the facts dictate the value [Foot]
Facts and values are connected if we cannot choose what counts as evidence of rightness [Foot]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]