25 ideas
1542 | Diogenes of Apollonia was the last natural scientist [Diogenes of Apollonia, by Simplicius] |
21757 | Philosophy is the conceptual essence of the shape of history [Hegel] |
10571 | Concern for rigour can get in the way of understanding phenomena [Fine,K] |
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
10569 | If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K] |
10570 | Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K] |
10573 | Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K] |
10575 | Why should a Dedekind cut correspond to a number? [Fine,K] |
10574 | Unless we know whether 0 is identical with the null set, we create confusions [Fine,K] |
10560 | Set-theoretic imperialists think sets can represent every mathematical object [Fine,K] |
10568 | Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
489 | Each thing must be in some way unique [Diogenes of Apollonia] |
483 | Start a thesis with something undisputable [Diogenes of Apollonia] |
1544 | Perception must be an internal matter, because we can fail to perceive when we are preoccupied [Diogenes of Apollonia, by Theophrastus] |
24042 | The older Diogenes said the soul is air, made of the smallest particles [Diogenes of Apollonia] |
10561 | Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K] |
10562 | We can combine ZF sets with abstracts as urelements [Fine,K] |
10567 | We can create objects from conditions, rather than from concepts [Fine,K] |
5995 | Diogenes of Apollonia offered the first teleological account of cosmology [Diogenes of Apollonia, by Robinson,TM] |
488 | Air is divine, because it is in and around everything, and arranges everything [Diogenes of Apollonia] |
484 | Everything is ultimately a variation of one underlying thing [Diogenes of Apollonia] |
486 | Plants and animals can only come into existence if something fixes their species [Diogenes of Apollonia] |
485 | Things must retain their essential nature during change, or mixing would be impossible [Diogenes of Apollonia] |