36 ideas
11223 | Definitions usually have a term, a 'definiendum' containing the term, and a defining 'definiens' [Gupta] |
11215 | Notable definitions have been of piety (Plato), God (Anselm), number (Frege), and truth (Tarski) [Gupta] |
11225 | A definition needs to apply to the same object across possible worlds [Gupta] |
11227 | The 'revision theory' says that definitions are rules for improving output [Gupta] |
11224 | Traditional definitions are general identities, which are sentential and reductive [Gupta] |
11226 | Traditional definitions need: same category, mention of the term, and conservativeness and eliminability [Gupta] |
11221 | A definition can be 'extensionally', 'intensionally' or 'sense' adequate [Gupta] |
13838 | A decent modern definition should always imply a semantics [Hacking] |
11217 | Chemists aim at real definition of things; lexicographers aim at nominal definition of usage [Gupta] |
11216 | If definitions aim at different ideals, then defining essence is not a unitary activity [Gupta] |
11218 | Stipulative definition assigns meaning to a term, ignoring prior meanings [Gupta] |
11220 | Ostensive definitions look simple, but are complex and barely explicable [Gupta] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
11222 | The ordered pair <x,y> is defined as the set {{x},{x,y}}, capturing function, not meaning [Gupta] |
13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
4568 | If 'Queen of England' does not refer if there is no queen, its meaning can't refer if there is one [Cooper,DE] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
4574 | If some peoples do not have categories like time or cause, they can't be essential features of rationality [Cooper,DE] |
4573 | If it is claimed that language correlates with culture, we must be able to identify the two independently [Cooper,DE] |
4575 | A person's language doesn't prove their concepts, but how are concepts deduced apart from language? [Cooper,DE] |
4561 | Many sentences set up dispositions which are irrelevant to the meanings of the sentences [Cooper,DE] |
4564 | I can meaningfully speculate that humans may have experiences currently impossible for us [Cooper,DE] |
4565 | The verification principle itself seems neither analytic nor verifiable [Cooper,DE] |
4563 | 'How now brown cow?' is used for elocution, but this says nothing about its meaning [Cooper,DE] |
4562 | Most people know how to use the word "Amen", but they do not know what it means [Cooper,DE] |
4571 | Reference need not be a hit-or-miss affair [Cooper,DE] |
4566 | Any thesis about reference is also a thesis about what exists to be referred to [Cooper,DE] |
4572 | If predicates name things, that reduces every sentence to a mere list of names [Cooper,DE] |
4576 | An analytic truth is one which becomes a logical truth when some synonyms have been replaced [Cooper,DE] |