61 ideas
23890 | For Plato true wisdom is supernatural [Plato, by Weil] |
3060 | Plato never mentions Democritus, and wished to burn his books [Plato, by Diog. Laertius] |
23891 | Two contradictories force us to find a relation which will correlate them [Plato, by Weil] |
13949 | All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano] |
18113 | PA concerns any entities which satisfy the axioms [Peano, by Bostock] |
17634 | Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell] |
15653 | We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano] |
17635 | Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano] |
12747 | Monads are not extended, but have a kind of situation in extension [Leibniz] |
12748 | Only monads are substances, and bodies are collections of them [Leibniz] |
13184 | The division of nature into matter makes distinct appearances, and that presupposes substances [Leibniz] |
13188 | The only indications of reality are agreement among phenomena, and their agreement with necessities [Leibniz] |
12752 | Only unities have any reality [Leibniz] |
13187 | In actual things nothing is indefinite [Leibniz] |
19383 | A man's distant wife dying is a real change in him [Leibniz] |
14502 | Plato's idea of 'structure' tends to be mathematically expressed [Plato, by Koslicki] |
13179 | A complete monad is a substance with primitive active and passive power [Leibniz] |
12749 | Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz] |
12722 | Thought terminates in force, rather than extension [Leibniz] |
3039 | When Diogenes said he could only see objects but not their forms, Plato said it was because he had eyes but no intellect [Plato, by Diog. Laertius] |
20906 | Platonists argue for the indivisible triangle-in-itself [Plato, by Aristotle] |
17948 | Plato's Forms meant that the sophists only taught the appearance of wisdom and virtue [Plato, by Nehamas] |
556 | If there is one Form for both the Form and its participants, they must have something in common [Aristotle on Plato] |
563 | If gods are like men, they are just eternal men; similarly, Forms must differ from particulars [Aristotle on Plato] |
565 | The Forms cannot be changeless if they are in changing things [Aristotle on Plato] |
557 | A Form is a cause of things only in the way that white mixed with white is a cause [Aristotle on Plato] |
9607 | The greatest discovery in human thought is Plato's discovery of abstract objects [Brown,JR on Plato] |
13263 | We can grasp whole things in science, because they have a mathematics and a teleology [Plato, by Koslicki] |
19379 | The law of the series, which determines future states of a substance, is what individuates it [Leibniz] |
13265 | Plato was less concerned than Aristotle with the source of unity in a complex object [Plato, by Koslicki] |
13261 | Plato sees an object's structure as expressible in mathematics [Plato, by Koslicki] |
593 | Plato's holds that there are three substances: Forms, mathematical entities, and perceptible bodies [Plato, by Aristotle] |
13260 | Plato says wholes are either containers, or they're atomic, or they don't exist [Plato, by Koslicki] |
11237 | Only universals have essence [Plato, by Politis] |
11238 | Plato and Aristotle take essence to make a thing what it is [Plato, by Politis] |
13182 | Changeable accidents are modifications of unchanging essences [Leibniz] |
13178 | Things in different locations are different because they 'express' those locations [Leibniz] |
19412 | If two bodies only seem to differ in their position, those different environments will matter [Leibniz] |
19411 | In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz] |
19410 | Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz] |
17085 | A good explanation totally rules out the opposite explanation (so Forms are required) [Plato, by Ruben] |
13183 | Primitive forces are internal strivings of substances, acting according to their internal laws [Leibniz] |
19409 | Soul represents body, but soul remains unchanged, while body continuously changes [Leibniz] |
1651 | Plato wanted to somehow control and purify the passions [Vlastos on Plato] |
11873 | Our notions may be formed from concepts, but concepts are formed from things [Leibniz] |
13186 | Universals are just abstractions by concealing some of the circumstances [Leibniz] |
3324 | Plato's whole philosophy may be based on being duped by reification - a figure of speech [Benardete,JA on Plato] |
7503 | Plato never refers to examining the conscience [Plato, by Foucault] |
2173 | As religion and convention collapsed, Plato sought morals not just in knowledge, but in the soul [Williams,B on Plato] |
9274 | Plato's legacy to European thought was the Good, the Beautiful and the True [Plato, by Gray] |
94 | Pleasure is better with the addition of intelligence, so pleasure is not the good [Plato, by Aristotle] |
17947 | Plato decided that the virtuous and happy life was the philosophical life [Plato, by Nehamas] |
6015 | Plato, unusually, said that theoretical and practical wisdom are inseparable [Plato, by Kraut] |
2912 | Plato is boring [Nietzsche on Plato] |
13185 | Even if extension is impenetrable, this still offers no explanation for motion and its laws [Leibniz] |
13177 | An entelechy is a law of the series of its event within some entity [Leibniz] |
13093 | The only permanence in things, constituting their substance, is a law of continuity [Leibniz] |
13096 | The force behind motion is like a soul, with its own laws of continual change [Leibniz] |
13180 | Space is the order of coexisting possibles [Leibniz] |
13181 | Time is the order of inconsistent possibilities [Leibniz] |
1526 | Almost everyone except Plato thinks that time could not have been generated [Plato, by Aristotle] |