22 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
15134 | The truthmaker principle requires some specific named thing to make the difference [Williamson] |
15140 | The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson] |
15141 | Truthmaker is incompatible with modal semantics of varying domains [Williamson] |
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] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
18492 | Not all quantification is either objectual or substitutional [Williamson] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
15136 | Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson] |
15138 | Not all quantification is objectual or substitutional [Williamson] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
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] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
15133 | A thing can't be the only necessary existent, because its singleton set would be as well [Williamson] |