16 ideas
8679 | We perceive the objects of set theory, just as we perceive with our senses [Gödel] |
9942 | Gödel proved the classical relative consistency of the axiom V = L [Gödel, by Putnam] |
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
18062 | Set-theory paradoxes are no worse than sense deception in physics [Gödel] |
10868 | The Continuum Hypothesis is not inconsistent with the axioms of set theory [Gödel, by Clegg] |
13517 | If set theory is consistent, we cannot refute or prove the Continuum Hypothesis [Gödel, by Hart,WD] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
10271 | Basic mathematics is related to abstract elements of our empirical ideas [Gödel] |
5078 | Kant and Mill both try to explain right and wrong, without a divine lawgiver [Taylor,R] |
5067 | Morality based on 'forbid', 'permit' and 'require' implies someone who does these things [Taylor,R] |
5079 | Pleasure can have a location, and be momentary, and come and go - but happiness can't [Taylor,R] |
5068 | 'Eudaimonia' means 'having a good demon', implying supreme good fortune [Taylor,R] |
5076 | To Greeks it seemed obvious that the virtue of anything is the perfection of its function [Taylor,R] |
5077 | The modern idea of obligation seems to have lost the idea of an obligation 'to' something [Taylor,R] |
5066 | If we are made in God's image, pursuit of excellence is replaced by duty to obey God [Taylor,R] |
5065 | The ethics of duty requires a religious framework [Taylor,R] |