17 ideas
15163 | The interest of quantified modal logic is its metaphysical necessity and essentialism [Soames] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
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] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
13095 | Essence is primitive force, or a law of change [Leibniz] |
15161 | There are more metaphysically than logically necessary truths [Soames] |
15162 | We understand metaphysical necessity intuitively, from ordinary life [Soames] |
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] |
2117 | The connection in events enables us to successfully predict the future, so there must be a constant cause [Leibniz] |