19 ideas
9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
15163 | The interest of quantified modal logic is its metaphysical necessity and essentialism [Soames] |
15158 | Indefinite descriptions are quantificational in subject position, but not in predicate position [Soames] |
15157 | Recognising the definite description 'the man' as a quantifier phrase, not a singular term, is a real insight [Soames] |
15156 | The universal and existential quantifiers were chosen to suit mathematics [Soames] |
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] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
9809 | Mathematics inscribes being as such [Badiou] |
9811 | It is of the essence of being to appear [Badiou] |
15161 | There are more metaphysically than logically necessary truths [Soames] |
15162 | We understand metaphysical necessity intuitively, from ordinary life [Soames] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
15152 | To study meaning, study truth conditions, on the basis of syntax, and representation by the parts [Soames] |
15153 | Tarski's account of truth-conditions is too weak to determine meanings [Soames] |
15154 | We should use cognitive states to explain representational propositions, not vice versa [Soames] |
9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |