31 ideas
22024 | Fichte's subjectivity struggles to then give any account of objectivity [Pinkard on Fichte] |
9921 | 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen] |
9924 | Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen] |
13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
9933 | The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen] |
9928 | Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen] |
22017 | Normativity needs the possibility of negation, in affirmation and denial [Fichte, by Pinkard] |
9926 | A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen] |
9932 | The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen] |
9923 | We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen] |
9925 | Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen] |
9934 | Number words became nouns around the time of Plato [Burgess/Rosen] |
13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
9918 | Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen] |
9929 | Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen] |
9927 | Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen] |
9930 | Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen] |
13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
22018 | Necessary truths derive from basic assertion and negation [Fichte, by Pinkard] |
22064 | Fichte's logic is much too narrow, and doesn't deduce ethics, art, society or life [Schlegel,F on Fichte] |
22032 | Fichte's key claim was that the subjective-objective distinction must itself be subjective [Fichte, by Pinkard] |
22020 | We only see ourselves as self-conscious and rational in relation to other rationalities [Fichte] |
22060 | The Self is the spontaneity, self-relatedness and unity needed for knowledge [Fichte, by Siep] |
22066 | Novalis sought a much wider concept of the ego than Fichte's proposal [Novalis on Fichte] |
22016 | The self is not a 'thing', but what emerges from an assertion of normativity [Fichte, by Pinkard] |
22019 | Consciousness of an object always entails awareness of the self [Fichte] |
22061 | Judgement is distinguishing concepts, and seeing their relations [Fichte, by Siep] |
9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
22023 | Fichte's idea of spontaneity implied that nothing counts unless we give it status [Fichte, by Pinkard] |
22065 | Fichte reduces nature to a lifeless immobility [Schlegel,F on Fichte] |
9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |