24 ideas
9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
4037 | Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver] |
13134 | We negate predicates but do not negate names [Westerhoff] |
9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
9809 | Mathematics inscribes being as such [Badiou] |
9811 | It is of the essence of being to appear [Badiou] |
13117 | How far down before we are too specialised to have a category? [Westerhoff] |
13116 | Maybe objects in the same category have the same criteria of identity [Westerhoff] |
13118 | Categories are base-sets which are used to construct states of affairs [Westerhoff] |
13125 | Categories are held to explain why some substitutions give falsehood, and others meaninglessness [Westerhoff] |
13126 | Categories systematize our intuitions about generality, substitutability, and identity [Westerhoff] |
13130 | Categories as generalities don't give a criterion for a low-level cut-off point [Westerhoff] |
13124 | Categories can be ordered by both containment and generality [Westerhoff] |
13131 | The aim is that everything should belong in some ontological category or other [Westerhoff] |
13123 | All systems have properties and relations, and most have individuals, abstracta, sets and events [Westerhoff] |
13115 | Ontological categories are like formal axioms, not unique and with necessary membership [Westerhoff] |
13119 | Categories merely systematise, and are not intrinsic to objects [Westerhoff] |
13135 | A thing's ontological category depends on what else exists, so it is contingent [Westerhoff] |
4027 | Properties are respects in which particular objects may be alike or differ [Mellor/Oliver] |
4029 | Nominalists ask why we should postulate properties at all [Mellor/Oliver] |
13129 | Essential kinds may be too specific to provide ontological categories [Westerhoff] |
4039 | Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver] |
9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |