17 ideas
8859 | The main modal logics disagree over three key formulae [Yablo] |
8865 | If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo] |
14085 | 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo] |
14084 | Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo] |
14086 | 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo] |
14087 | 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo] |
14089 | Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo] |
14083 | Structuralism is right about algebra, but wrong about sets [Linnebo] |
14090 | In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo] |
8863 | We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo] |
8862 | Platonic objects are really created as existential metaphors [Yablo] |
14091 | There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo] |
8864 | We quantify over events, worlds, etc. in order to make logical possibilities clearer [Yablo] |
14088 | An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo] |
8858 | Philosophers keep finding unexpected objects, like models, worlds, functions, numbers, events, sets, properties [Yablo] |
8861 | Hardly a word in the language is devoid of metaphorical potential [Yablo] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |