52 ideas
5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
7490 | Because of Darwin, wisdom as a definite attainable state has faded [Watson] |
7461 | The three key ideas are the soul, Europe, and the experiment [Watson] |
7464 | The big idea: imitation, the soul, experiments, God, heliocentric universe, evolution? [Watson] |
3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
22270 | Frege changed philosophy by extending logic's ability to check the grounds of thinking [Potter on Frege] |
8939 | We should not describe human laws of thought, but how to correctly track truth [Frege, by Fisher] |
7465 | Babylonian thinking used analogy, rather than deduction or induction [Watson] |
4971 | I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege] |
17745 | For Frege, 'All A's are B's' means that the concept A implies the concept B [Frege, by Walicki] |
7728 | Frege has a judgement stroke (vertical, asserting or judging) and a content stroke (horizontal, expressing) [Frege, by Weiner] |
16881 | The laws of logic are boundless, so we want the few whose power contains the others [Frege] |
7622 | In 1879 Frege developed second order logic [Frege, by Putnam] |
7729 | Frege replaced Aristotle's subject/predicate form with function/argument form [Frege, by Weiner] |
9950 | A quantifier is a second-level predicate (which explains how it contributes to truth-conditions) [Frege, by George/Velleman] |
9991 | For Frege the variable ranges over all objects [Frege, by Tait] |
10536 | Frege's domain for variables is all objects, but modern interpretations first fix the domain [Dummett on Frege] |
7730 | Frege introduced quantifiers for generality [Frege, by Weiner] |
7742 | Frege reduced most quantifiers to 'everything' combined with 'not' [Frege, by McCullogh] |
13824 | Proof theory began with Frege's definition of derivability [Frege, by Prawitz] |
13609 | Frege produced axioms for logic, though that does not now seem the natural basis for logic [Frege, by Kaplan] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
7466 | Mesopotamian numbers applied to specific things, and then became abstract [Watson] |
17855 | It may be possible to define induction in terms of the ancestral relation [Frege, by Wright,C] |
10607 | Frege's logic has a hierarchy of object, property, property-of-property etc. [Frege, by Smith,P] |
11008 | Existence is not a first-order property, but the instantiation of a property [Frege, by Read] |
22280 | Frege's account was top-down and decompositional, not bottom-up and compositional [Frege, by Potter] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
7477 | Modern democracy is actually elective oligarchy [Watson] |
7478 | Greek philosophers invented the concept of 'nature' as their special subject [Watson] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
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] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
7462 | DNA mutation suggests humans and chimpanzees diverged 6.6 million years ago [Watson] |
7741 | The predicate 'exists' is actually a natural language expression for a quantifier [Frege, by Weiner] |
7470 | During the rise of civilizations, the main gods changed from female to male [Watson] |
7474 | Hinduism has no founder, or prophet, or creed, or ecclesiastical structure [Watson] |
7480 | Monotheism was a uniquely Israelite creation within the Middle East [Watson] |
7479 | Modern Judaism became stabilised in 200 CE [Watson] |
7481 | The Israelites may have asserted the uniqueness of Yahweh to justify land claims [Watson] |
7471 | The Gathas (hymns) of Zoroastrianism date from about 1000 BCE [Watson] |
7473 | Zoroaster conceived the afterlife, judgement, heaven and hell, and the devil [Watson] |
7483 | Paul's early writings mention few striking episodes from Jesus' life [Watson] |
7484 | Jesus never intended to start a new religion [Watson] |
7475 | Confucius revered the spiritual world, but not the supernatural, or a personal god, or the afterlife [Watson] |
7476 | Taoism aims at freedom from the world, the body, the mind, and nature [Watson] |
7463 | The three basic ingredients of religion are: the soul, seers or priests, and ritual [Watson] |
7468 | In ancient Athens the souls of the dead are received by the 'upper air' [Watson] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |