47 ideas
3600 | Slow and accurate thought makes the greatest progress [Descartes] |
3601 | Most things in human life seem vain and useless [Descartes] |
3602 | Almost every daft idea has been expressed by some philosopher [Descartes] |
3603 | Methodical thinking is cautious, analytical, systematic, and panoramic [Descartes, by PG] |
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
3612 | Clear and distinct conceptions are true because a perfect God exists [Descartes] |
3610 | Truth is clear and distinct conception - of which it is hard to be sure [Descartes] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
3605 | We can believe a thing without knowing we believe it [Descartes] |
1583 | In morals Descartes accepts the conventional, but rejects it in epistemology [Roochnik on Descartes] |
3607 | In thinking everything else false, my own existence remains totally certain [Descartes] |
3617 | I aim to find the principles and causes of everything, using the seeds within my mind [Descartes] |
3611 | Understanding, rather than imagination or senses, gives knowledge [Descartes] |
3606 | I was searching for reliable rock under the shifting sand [Descartes] |
3604 | When rebuilding a house, one needs alternative lodgings [Descartes] |
3618 | Only experiments can settle disagreements between rival explanations [Descartes] |
3615 | Little reason is needed to speak, so animals have no reason at all [Descartes] |
3609 | I am a thinking substance, which doesn't need a place or material support [Descartes] |
3608 | I can deny my body and the world, but not my own existence [Descartes] |
3613 | Reason is universal in its responses, but a physical machine is constrained by its organs [Descartes] |
3616 | The soul must unite with the body to have appetites and sensations [Descartes] |
3614 | A machine could speak in response to physical stimulus, but not hold a conversation [Descartes] |
1581 | Greeks elevate virtues enormously, but never explain them [Descartes] |
7337 | In Mosaic legal theory, crimes are sins and sins are crimes [Johnson,P] |
7339 | Because human life is what is sacred, Mosaic law has no death penalty for property violations [Johnson,P] |
7353 | The Pharisees undermined slavery, by giving slaves responsibility and status in law courts [Johnson,P] |
7340 | Mosaic law was the first to embody the rule of law, and equality before the law [Johnson,P] |
7338 | Man's life is sacred, because it is made in God's image [Johnson,P] |
16686 | God has established laws throughout nature, and implanted ideas of them within us [Descartes] |
7348 | The Jews sharply distinguish human and divine, but the Greeks pull them closer together [Johnson,P] |
7336 | A key moment is the idea of a single moral God, who imposes his morality on humanity [Johnson,P] |
7341 | Sampson illustrates the idea that religious heroes often begin as outlaws and semi-criminals [Johnson,P] |
7342 | Isaiah moved Israelite religion away from the local, onto a more universal plane [Johnson,P] |
7355 | The Torah pre-existed creation, and was its blueprint [Johnson,P] |
7345 | In exile the Jews became a nomocracy [Johnson,P] |
7344 | Judaism involves circumcision, Sabbath, Passover, Pentecost, Tabernacles, New Year, and Atonement [Johnson,P] |
7347 | Zoroastrians believed in one eternal beneficent being, Creator through the holy spirit [Johnson,P] |
7349 | Immortality based on judgement of merit was developed by the Egyptians (not the Jews) [Johnson,P] |
7354 | The main doctrine of the Pharisees was belief in resurrection and the afterlife [Johnson,P] |
7356 | Pious Jews saw heaven as a vast library [Johnson,P] |