21 ideas
19695 | The devil was wise as an angel, and lost no knowledge when he rebelled [Whitcomb] |
15134 | The truthmaker principle requires some specific named thing to make the difference [Williamson] |
15141 | Truthmaker is incompatible with modal semantics of varying domains [Williamson] |
15140 | The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson] |
6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
15131 | If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson] |
15135 | If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson] |
15139 | Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson] |
18492 | Not all quantification is either objectual or substitutional [Williamson] |
15136 | Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson] |
15138 | Not all quantification is objectual or substitutional [Williamson] |
6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
6303 | Sets are positions in patterns [Resnik] |
6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
15137 | If 'fact' is a noun, can we name the fact that dogs bark 'Mary'? [Williamson] |
15142 | Our ability to count objects across possibilities favours the Barcan formulas [Williamson] |
15133 | A thing can't be the only necessary existent, because its singleton set would be as well [Williamson] |