30 ideas
24032 | Clever scholars can obscure things which are obvious even to peasants [Descartes] |
24033 | Most scholastic disputes concern words, where agreeing on meanings would settle them [Descartes] |
24024 | The secret of the method is to recognise which thing in a series is the simplest [Descartes] |
24018 | One truth leads us to another [Descartes] |
15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
15712 | 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan] |
15711 | The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan] |
24036 | I can only see the proportion of two to three if there is a common measure - their unity [Descartes] |
24035 | Unity is something shared by many things, so in that respect they are equals [Descartes] |
15714 | 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan] |
15715 | 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan] |
24029 | Among the simples are the graspable negations, such as rest and instants [Descartes] |
24030 | 3+4=7 is necessary because we cannot conceive of seven without including three and four [Descartes] |
24019 | If we accept mere probabilities as true we undermine our existing knowledge [Descartes] |
24020 | We all see intuitively that we exist, where intuition is attentive, clear and distinct rational understanding [Descartes] |
24031 | When Socrates doubts, he know he doubts, and that truth is possible [Descartes] |
24025 | Clear and distinct truths must be known all at once (unlike deductions) [Descartes] |
24022 | Our souls possess divine seeds of knowledge, which can bear spontaneous fruit [Descartes] |
24034 | If someone had only seen the basic colours, they could deduce the others from resemblance [Descartes] |
24021 | The method starts with clear intuitions, followed by a process of deduction [Descartes] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
24027 | Nerves and movement originate in the brain, where imagination moves them [Descartes] |
24026 | Our four knowledge faculties are intelligence, imagination, the senses, and memory [Descartes] |
24028 | The force by which we know things is spiritual, and quite distinct from the body [Descartes] |
24023 | All the sciences searching for order and measure are related to mathematics [Descartes] |
8430 | Causal statements are used to explain, to predict, to control, to attribute responsibility, and in theories [Kim] |
8396 | Many counterfactuals have nothing to do with causation [Kim, by Tooley] |
8429 | Counterfactuals can express four other relations between events, apart from causation [Kim] |
8428 | Causation is not the only dependency relation expressed by counterfactuals [Kim] |
4781 | Many counterfactual truths do not imply causation ('if yesterday wasn't Monday, it isn't Tuesday') [Kim, by Psillos] |