27 ideas
20728 | Metaphysics is hopeless with its present epistemology; common-sense realism is needed [Colvin] |
12204 | The logic of metaphysical necessity is S5 [Rumfitt] |
12195 | Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt] |
12199 | There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt] |
12201 | We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt] |
12194 | Contradictions include 'This is red and not coloured', as well as the formal 'B and not-B' [Rumfitt] |
10001 | An adjective contributes semantically to a noun phrase [Hofweber] |
10007 | Quantifiers for domains and for inference come apart if there are no entities [Hofweber] |
12198 | Geometrical axioms in logic are nowadays replaced by inference rules (which imply the logical truths) [Rumfitt] |
9998 | What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber] |
10002 | '2 + 2 = 4' can be read as either singular or plural [Hofweber] |
10003 | Why is arithmetic hard to learn, but then becomes easy? [Hofweber] |
10008 | Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber] |
10005 | Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber] |
10000 | We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber] |
10006 | First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber] |
20726 | We can only distinguish self from non-self if there is an inflexible external reality [Colvin] |
20727 | Common-sense realism rests on our interests and practical life [Colvin] |
20730 | If objects are doubted because their appearances change, that presupposes one object [Colvin] |
20729 | Arguments that objects are unknowable or non-existent assume the knower's existence [Colvin] |
20731 | The idea that everything is relations is contradictory; relations are part of the concept of things [Colvin] |
14532 | A distinctive type of necessity is found in logical consequence [Rumfitt, by Hale/Hoffmann,A] |
12193 | Logical necessity is when 'necessarily A' implies 'not-A is contradictory' [Rumfitt] |
12200 | A logically necessary statement need not be a priori, as it could be unknowable [Rumfitt] |
12202 | Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not [Rumfitt] |
12203 | If a world is a fully determinate way things could have been, can anyone consider such a thing? [Rumfitt] |
10004 | Our minds are at their best when reasoning about objects [Hofweber] |