31 ideas
| 5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
| 3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
| 16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
| 7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
| 16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
| 16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
| 3772 | The will, in the beginning, is entirely produced by desire [Mill] |
| 3769 | With early training, any absurdity or evil may be given the power of conscience [Mill] |
| 3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
| 3767 | Motive shows the worth of the agent, but not of the action [Mill] |
| 3771 | Virtues only have value because they achieve some further end [Mill] |
| 5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
| 3768 | Orthodox morality is the only one which feels obligatory [Mill] |
| 3776 | Utilitarianism only works if everybody has a totally equal right to happiness [Mill] |
| 7202 | The English believe in the task of annihilating evil for the victory of good [Nietzsche on Mill] |
| 5935 | Mill's qualities of pleasure is an admission that there are other good states of mind than pleasure [Ross on Mill] |
| 3764 | Actions are right if they promote pleasure, wrong if they promote pain [Mill] |
| 3763 | Ultimate goods such as pleasure can never be proved to be good [Mill] |
| 3765 | Only pleasure and freedom from pain are desirable as ends [Mill] |
| 3766 | Better to be Socrates dissatisfied than a fool satisfied [Mill] |
| 3770 | General happiness is only desirable because individuals desire their own happiness [Mill] |
| 6697 | Moral rules protecting human welfare are more vital than local maxims [Mill] |
| 3774 | Rights are a matter of justice, not of benevolence [Mill] |
| 3773 | No individual has the right to receive our benevolence [Mill] |
| 3775 | A right is a valid claim to society's protection [Mill] |
| 375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
| 638 | Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle] |
| 553 | Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle] |
| 554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
| 644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
| 7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |