Combining Texts

All the ideas for 'Presidential Address of Am. Math. Soc', 'Moral Beliefs' and 'The Philosophy of Logic'

expand these ideas     |    start again     |     specify just one area for these texts


8 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam]
We must quantify over numbers for science; but that commits us to their existence [Putnam]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Moral norms are objective, connected to facts about human goods [Foot, by Hacker-Wright]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Morality gives everyone reasons to act, irrespective of their desires [Foot, by Hacker-Wright]
We all have reason to cultivate the virtues, even when we lack the desire [Foot, by Hacker-Wright]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The meaning of 'good' and other evaluations must include the object to which they attach [Foot]