38 ideas
17824 | The master science is physical objects divided into sets [Maddy] |
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
17825 | Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy] |
17826 | Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy] |
17828 | Numbers are properties of sets, just as lengths are properties of physical objects [Maddy] |
17830 | Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy] |
17827 | Sets exist where their elements are, but numbers are more like universals [Maddy] |
17823 | If mathematical objects exist, how can we know them, and which objects are they? [Maddy] |
17829 | Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy] |
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] |
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] |
19379 | The law of the series, which determines future states of a substance, is what individuates it [Leibniz] |
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] |
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] |
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] |
11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
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] |