48 ideas
10676 | The Axiom of Choice is a non-logical principle of set-theory [Hossack] |
10686 | The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack] |
10687 | Maybe we reduce sets to ordinals, rather than the other way round [Hossack] |
10677 | Extensional mereology needs two definitions and two axioms [Hossack] |
10671 | Plural definite descriptions pick out the largest class of things that fit the description [Hossack] |
10666 | Plural reference will refer to complex facts without postulating complex things [Hossack] |
10669 | Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack] |
10675 | A plural comprehension principle says there are some things one of which meets some condition [Hossack] |
10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
10680 | The theory of the transfinite needs the ordinal numbers [Hossack] |
10684 | I take the real numbers to be just lengths [Hossack] |
10674 | A plural language gives a single comprehensive induction axiom for arithmetic [Hossack] |
10685 | Set theory is the science of infinity [Hossack] |
10681 | In arithmetic singularists need sets as the instantiator of numeric properties [Hossack] |
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] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
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] |
10664 | Complex particulars are either masses, or composites, or sets [Hossack] |
10678 | The relation of composition is indispensable to the part-whole relation for individuals [Hossack] |
10665 | Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack] |
10682 | The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack] |
13182 | Changeable accidents are modifications of unchanging essences [Leibniz] |
13178 | Things in different locations are different because they 'express' those locations [Leibniz] |
19411 | In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz] |
19412 | If two bodies only seem to differ in their position, those different environments will matter [Leibniz] |
19410 | Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
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] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
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] |
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] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |
13181 | Time is the order of inconsistent possibilities [Leibniz] |