46 ideas
8092 | Logic was merely a branch of rhetoric until the scientific 17th century [Devlin] |
6095 | The business of metaphysics is to describe the world [Russell] |
6106 | Reducing entities and premisses makes error less likely [Russell] |
6090 | Facts make propositions true or false, and are expressed by whole sentences [Russell] |
18348 | Not only atomic truths, but also general and negative truths, have truth-makers [Russell, by Rami] |
8081 | 'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin] |
8085 | Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin] |
8086 | Predicate logic retains the axioms of propositional logic [Devlin] |
6103 | Normally a class with only one member is a problem, because the class and the member are identical [Russell] |
8091 | Situation theory is logic that takes account of context [Devlin] |
8089 | Montague's intensional logic incorporated the notion of meaning [Devlin] |
8087 | Golden ages: 1900-1960 for pure logic, and 1950-1985 for applied logic [Devlin] |
8082 | Where a conditional is purely formal, an implication implies a link between premise and conclusion [Devlin] |
6092 | In a logically perfect language, there will be just one word for every simple object [Russell] |
6101 | Romulus does not occur in the proposition 'Romulus did not exist' [Russell] |
8072 | Sentences of apparent identical form can have different contextual meanings [Devlin] |
6102 | You can understand 'author of Waverley', but to understand 'Scott' you must know who it applies to [Russell] |
10423 | There are a set of criteria for pinning down a logically proper name [Russell, by Sainsbury] |
7744 | Treat description using quantifiers, and treat proper names as descriptions [Russell, by McCullogh] |
10426 | A name has got to name something or it is not a name [Russell] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
6104 | Numbers are classes of classes, and hence fictions of fictions [Russell] |
21708 | Russell's new logical atomist was of particulars, universals and facts (not platonic propositions) [Russell, by Linsky,B] |
19051 | Russell's atomic facts are actually compounds, and his true logical atoms are sense data [Russell, by Quine] |
6089 | Logical atomism aims at logical atoms as the last residue of analysis [Russell] |
6100 | Once you have enumerated all the atomic facts, there is a further fact that those are all the facts [Russell] |
6105 | Logical atoms aims to get down to ultimate simples, with their own unique reality [Russell] |
21709 | You can't name all the facts, so they are not real, but are what propositions assert [Russell] |
18376 | Russell asserts atomic, existential, negative and general facts [Russell, by Armstrong] |
5465 | Modern trope theory tries, like logical atomism, to reduce things to elementary states [Russell, by Ellis] |
6060 | 'Existence' means that a propositional function is sometimes true [Russell] |
6099 | Modal terms are properties of propositional functions, not of propositions [Russell] |
6098 | Perception goes straight to the fact, and not through the proposition [Russell] |
8088 | People still say the Hopi have no time concepts, despite Whorf's later denial [Devlin] |
6097 | The theory of error seems to need the existence of the non-existent [Russell] |
6649 | Chomsky now says concepts are basically innate, as well as syntax [Chomsky, by Lowe] |
8073 | How do we parse 'time flies like an arrow' and 'fruit flies like an apple'? [Devlin] |
9022 | Russell uses 'propositional function' to refer to both predicates and to attributes [Quine on Russell] |
6091 | Propositions don't name facts, because each fact corresponds to a proposition and its negation [Russell] |
8076 | The distinction between sentences and abstract propositions is crucial in logic [Devlin] |
21702 | In 1918 still believes in nonlinguistic analogues of sentences, but he now calls them 'facts' [Russell, by Quine] |
6094 | An inventory of the world does not need to include propositions [Russell] |
6096 | I no longer believe in propositions, especially concerning falsehoods [Russell] |
21712 | I know longer believe in shadowy things like 'that today is Wednesday' when it is actually Tuesday [Russell] |
6093 | The names in a logically perfect language would be private, and could not be shared [Russell] |
6119 | You can discuss 'God exists', so 'God' is a description, not a name [Russell] |