10 ideas
8859 | The main modal logics disagree over three key formulae [Yablo] |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
8865 | If 'the number of Democrats is on the rise', does that mean that 50 million is on the rise? [Yablo] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
8863 | We must treat numbers as existing in order to express ourselves about the arrangement of planets [Yablo] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
8862 | Platonic objects are really created as existential metaphors [Yablo] |
8864 | We quantify over events, worlds, etc. in order to make logical possibilities clearer [Yablo] |
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] |