19 ideas
6118 | Philosophy is logical analysis, followed by synthesis [Russell] |
Full Idea: The business of philosophy, as I conceive it, is essentially that of logical analysis, followed by logical synthesis. | |
From: Bertrand Russell (Logical Atomism [1924], p.162) | |
A reaction: I am uneasy about Russell's hopes for the contribution that logic could make, but I totally agree that analysis is the route to wisdom, and I take Aristotle as my role model of an analytical philosopher, rather than the modern philosophers of logic. |
6116 | A logical language would show up the fallacy of inferring reality from ordinary language [Russell] |
Full Idea: We are trying to create a perfectly logical language to prevent inferences from the nature of language to the nature of the world, which are fallacious because they depend upon the logical defects of language. | |
From: Bertrand Russell (Logical Atomism [1924], p.159) | |
A reaction: Wittgenstein seems to have rebelled against this idea, so that one strand of his later philosophy leads to 'ordinary language' philosophy, which is exactly what Russell is criticising. Wittgenstein seems to have seen 'logical language' as an oxymoron. |
6117 | Philosophy should be built on science, to reduce error [Russell] |
Full Idea: We would be wise to build our philosophy upon science, because the risk of error in philosophy is pretty sure to be greater than in science. | |
From: Bertrand Russell (Logical Atomism [1924], p.160) | |
A reaction: If you do very little, it reduces the 'risk of error'. I agree that philosophers should start from the facts, and be responsive to new facts, and that science is excellent at discovering facts. But I don't think cognitive science is the new epistemology. |
10196 | The Axiom of Choice needs a criterion of choice [Black] |
Full Idea: Some mathematicians seem to think that talk of an Axiom of Choice allows them to choose a single member of a collection when there is no criterion of choice. | |
From: Max Black (The Identity of Indiscernibles [1952], p.68) |
6110 | Subject-predicate logic (and substance-attribute metaphysics) arise from Aryan languages [Russell] |
Full Idea: It is doubtful whether the subject-predicate logic, with the substance-attribute metaphysic, would have been invented by people speaking a non-Aryan language. | |
From: Bertrand Russell (Logical Atomism [1924], p.151) | |
A reaction: This is not far off the Sapir-Whorf Hypothesis (e.g. Idea 3917), which Russell would never accept. I presume that Russell would see true logic as running deeper, and the 'Aryan' approach as just one possible way to describe it. |
6107 | It is logic, not metaphysics, that is fundamental to philosophy [Russell] |
Full Idea: I hold that logic is what is fundamental in philosophy, and that schools should be characterised rather by their logic than by their metaphysics. | |
From: Bertrand Russell (Logical Atomism [1924], p.143) | |
A reaction: Personally I disagree. Russell seems to have been most interested in the logical form underlying language, but that seems to be because he was interested in the ontological implications of what we say, which is metaphysics. |
6115 | Vagueness, and simples being beyond experience, are obstacles to a logical language [Russell] |
Full Idea: The fact that we do not experience simples is one obstacle to the actual creation of a correct logical language, and vagueness is another. | |
From: Bertrand Russell (Logical Atomism [1924], p.159) | |
A reaction: The dream of creating a perfect logical language looks doomed from the start, but it is a very interesting project to try to pinpoint why it is unlikely to be possible. I say a perfect language cuts nature exactly at the joints, so find the joints. |
6109 | Some axioms may only become accepted when they lead to obvious conclusions [Russell] |
Full Idea: Some of the premisses (of my logicist theory) are much less obvious than some of their consequences, and are believed chiefly because of their consequences. This will be found to be always the case when a science is arranged as a deductive system. | |
From: Bertrand Russell (Logical Atomism [1924], p.145) | |
A reaction: We shouldn't assume the model of self-evident axioms leading to surprising conclusions, which is something like the standard model for rationalist foundationalists. Russell nicely points out that the situation could be just the opposite |
6108 | Maths can be deduced from logical axioms and the logic of relations [Russell] |
Full Idea: I think that no one will dispute that from certain ideas and axioms of formal logic, but with the help of the logic of relations, all pure mathematics can be deduced. | |
From: Bertrand Russell (Logical Atomism [1924], p.145) | |
A reaction: It has been said for a long time that Gödel's Incompleteness Theorems of 1930 disproved this claim, though recently there have been defenders of logicism. Beginning with 'certain ideas' sounds like begging the question. |
10968 | Russell gave up logical atomism because of negative, general and belief propositions [Russell, by Read] |
Full Idea: Russell preceded Wittgenstein in deciding that the reduction of all propositions to atomic propositions could not be achieved. The problem cases were negative propositions, general propositions, and belief propositions. | |
From: report of Bertrand Russell (Logical Atomism [1924]) by Stephen Read - Thinking About Logic Ch.1 |
6113 | To mean facts we assert them; to mean simples we name them [Russell] |
Full Idea: The way to mean a fact is to assert it; the way to mean a simple is to name it. | |
From: Bertrand Russell (Logical Atomism [1924], p.156) | |
A reaction: Thus logical atomism is a linguistic programme, of reducing our language to a foundation of pure names. The recent thought of McDowell and others is aimed at undermining any possibility of a 'simple' in perception. The myth of 'The Given'. |
6114 | 'Simples' are not experienced, but are inferred at the limits of analysis [Russell] |
Full Idea: When I speak of 'simples' I am speaking of something not experienced as such, but known only inferentially as the limits of analysis. | |
From: Bertrand Russell (Logical Atomism [1924], p.158) | |
A reaction: He claims that the simples are 'known', so he does not mean purely theoretical entities. They have something like the status of quarks in physics, whose existence is inferred from experience. |
21722 | Better to construct from what is known, than to infer what is unknown [Russell] |
Full Idea: Whenever possible, substitute constructions out of known entities for inferences to unknown entities. | |
From: Bertrand Russell (Logical Atomism [1924], p.161), quoted by Bernard Linsky - Russell's Metaphysical Logic 7 | |
A reaction: In 1919 he said that the alternative, of 'postulating' new entities, has 'all the advantages of theft over honest toil' [IMP p.71]. This is Russell's commitment to 'constructing' everything, even his concept of matter. Arithmetic as PA is postulation. |
6111 | As propositions can be put in subject-predicate form, we wrongly infer that facts have substance-quality form [Russell] |
Full Idea: Since any proposition can be put into a form with a subject and a predicate, united by a copula, it is natural to infer that every fact consists in the possession of a quality by a substance, which seems to me a mistake. | |
From: Bertrand Russell (Logical Atomism [1924], p.152) | |
A reaction: This disagrees with McGinn on facts (Idea 6075). I approve of this warning from Russell, which is a recognition that we can't just infer our metaphysics from our language. I think of this as the 'Frege Fallacy', which ensnared Quine and others. |
10194 | Two things can only be distinguished by a distinct property or a distinct relation [Black] |
Full Idea: The only way we can discover that two things exist is by finding out that one has a quality not possessed by the other, or else that one has a relational characteristic that the other hasn't. | |
From: Max Black (The Identity of Indiscernibles [1952], p.67) | |
A reaction: At least this doesn't conflate relations with properties. Note that this idea is clearly epistemological, and in no way rules out the separateness of two objects which none of us can ever discern. Maybe the Earth has two Suns, which imperceptibly swap. |
10193 | The 'property' of self-identity is uselessly tautological [Black] |
Full Idea: Saying that 'a has the property of being identical with a' is a roundabout way of saying nothing - a useless tautology - and means not more than 'a is a' | |
From: Max Black (The Identity of Indiscernibles [1952], p.66) | |
A reaction: This matter resembles the problem of the number zero, and the empty set, which seem to be crucial entities for logicians, but of no interest to a common sense view of the world. So much the worse for logic, I am inclined to say. |
10195 | If the universe just held two indiscernibles spheres, that refutes the Identity of Indiscernibles [Black] |
Full Idea: Isn't it logically possible that the universe should have contained nothing but two exactly similar spheres? ...So two things would have all their properties in common, and this would refute the Principle of the Identity of Indiscernibles. | |
From: Max Black (The Identity of Indiscernibles [1952], p.67) | |
A reaction: [Black is the originator of this famous example] It also appears to be naturally possible. An observer at an instant of viewing will discern a relational difference relative to themselves. Most people take Black's objection to be decisive. |
490 | Everything happens by reason and necessity [Leucippus] |
Full Idea: Nothing happens at random; everything happens out of reason and by necessity. | |
From: Leucippus (fragments/reports [c.435 BCE], B002), quoted by (who?) - where? |
6112 | Meaning takes many different forms, depending on different logical types [Russell] |
Full Idea: There is not one relation of meaning between words and what they stand for, but as many relations of meaning, each of a different logical type, as there are logical types among the objects for which there are words. | |
From: Bertrand Russell (Logical Atomism [1924], p.153) | |
A reaction: This might be a good warning for those engaged in the externalist/internalist debate over the meaning of concepts such as natural kind terms like 'water'. I could have an external meaning for 'elms', but an internal meaning for 'ferns'. |