24 ideas
9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
10794 | The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)] |
10788 | Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)] |
10786 | Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)] |
10799 | Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)] |
10790 | Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)] |
10791 | Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)] |
10785 | Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)] |
10798 | A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)] |
10795 | Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)] |
9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
17435 | Objects do not naturally form countable units [Koslicki] |
17433 | We can still count squares, even if they overlap [Koslicki] |
17439 | There is no deep reason why we count carrots but not asparagus [Koslicki] |
17434 | We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki] |
9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
9809 | Mathematics inscribes being as such [Badiou] |
10787 | Is being just referent of the verb 'to be'? [Marcus (Barcan)] |
9811 | It is of the essence of being to appear [Badiou] |
17436 | We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki] |
10789 | Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)] |
10796 | If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)] |
10797 | Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)] |
9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |