30 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] |
6007 | If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R] |
10673 | Plural language can discuss without inconsistency things that are not members of themselves [Hossack] |
6006 | If you say truly that you are lying, you are lying [Eubulides, by Dancy,R] |
6008 | Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R] |
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] |
10668 | We are committed to a 'group' of children, if they are sitting in a circle [Hossack] |
16668 | Modes of things exist in some way, without being full-blown substances [Gassendi] |
16730 | If matter is entirely atoms, anything else we notice in it can only be modes [Gassendi] |
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] |
16619 | We observe qualities, and use 'induction' to refer to the substances lying under them [Gassendi] |
3400 | Things must have parts to intermingle [Gassendi] |
10663 | A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack] |
16593 | Atoms are not points, but hard indivisible things, which no force in nature can divide [Gassendi] |
16729 | How do mere atoms produce qualities like colour, flavour and odour? [Gassendi] |
10683 | We could ignore space, and just talk of the shape of matter [Hossack] |