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27 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Traditionally philosophy is an a priori enquiry into general truths about reality [Katz]
     Full Idea: The traditional conception of philosophy is that it is an a priori enquiry into the most general facts about reality.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xi)
     A reaction: I think this still defines philosophy, though it also highlights the weakness of the subject, which is over-confidence about asserting necessary truths. How could the most god-like areas of human thought be about anything else?
Most of philosophy begins where science leaves off [Katz]
     Full Idea: Philosophy, or at least one large part of it, is subsequent to science; it begins where science leaves off.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxi)
     A reaction: In some sense this has to be true. Without metaphysics there couldn't be any science. Rationalists should not forget, though, the huge impact which Darwin's science has (or should have) on fairly abstract philosophy (e.g. epistemology).
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
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.
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
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.
1. Philosophy / G. Scientific Philosophy / 3. Scientism
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.
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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.
If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]
     Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation.
     From: Ian Rumfitt ("Yes" and "No" [2000], II)
     A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts.
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
The sense of a connective comes from primitively obvious rules of inference [Rumfitt]
     Full Idea: A connective will possess the sense that it has by virtue of its competent users' finding certain rules of inference involving it to be primitively obvious.
     From: Ian Rumfitt ("Yes" and "No" [2000], III)
     A reaction: Rumfitt cites Peacocke as endorsing this view, which characterises the logical connectives by their rules of usage rather than by their pure semantic value.
Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]
     Full Idea: If 'and' and 'but' really are alike in sense, in what might that likeness consist? Some philosophers of classical logic will reply that they share a sense by virtue of sharing a truth table.
     From: Ian Rumfitt ("Yes" and "No" [2000])
     A reaction: This is the standard view which Rumfitt sets out to challenge.
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
'Real' maths objects have no causal role, no determinate reference, and no abstract/concrete distinction [Katz]
     Full Idea: Three objections to realism in philosophy of mathematics: mathematical objects have no space/time location, and so no causal role; that such objects are determinate, but reference to numbers aren't; and that there is no abstract/concrete distinction.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxix)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
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.
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
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
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'.
'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.
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.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
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.
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
We don't have a clear enough sense of meaning to pronounce some sentences meaningless or just analytic [Katz]
     Full Idea: Linguistic meaning is not rich enough to show either that all metaphysical sentences are meaningless or that all alleged synthetic a priori propositions are just analytic a priori propositions.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xx)
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Experience cannot teach us why maths and logic are necessary [Katz]
     Full Idea: The Leibniz-Kant criticism of empiricism is that experience cannot teach us why mathematical and logical facts couldn't be otherwise than they are.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxxi)
19. Language / A. Nature of Meaning / 1. Meaning
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'.
Structuralists see meaning behaviouristically, and Chomsky says nothing about it [Katz]
     Full Idea: In linguistics there are two schools of thought: Bloomfieldian structuralism (favoured by Quine) conceives of sentences acoustically and meanings behaviouristically; and Chomskian generative grammar (which is silent about semantics).
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxiv)
     A reaction: They both appear to be wrong, so there is (or was) something rotten in the state of linguistics. Are the only options for meaning either behaviourist or eliminativist?
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
It is generally accepted that sense is defined as the determiner of reference [Katz]
     Full Idea: There is virtually universal acceptance of Frege's definition of sense as the determiner of reference.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxvi)
     A reaction: Not any more, since Kripke and Putnam. It is one thing to say sense determines reference, and quite another to say that this is the definition of sense.
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Sense determines meaning and synonymy, not referential properties like denotation and truth [Katz]
     Full Idea: Pace Frege, sense determines sense properties and relations, like meaningfulness and synonymy, rather than determining referential properties, like denotation and truth.
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxvi)
     A reaction: This leaves room for Fregean 'sense', after Kripke has demolished the idea that sense determines reference.
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Sentences are abstract types (like musical scores), not individual tokens [Katz]
     Full Idea: Sentences are types, not utterance tokens or mental/neural tokens, and hence sentences are abstract objects (like musical scores).
     From: Jerrold J. Katz (Realistic Rationalism [2000], Int.xxvi)
     A reaction: If sentences are abstract types, then two verbally indistinguishable sentences are the same sentence. But if I say 'I am happy', that isn't the same as you saying it.
19. Language / F. Communication / 3. Denial
We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]
     Full Idea: The standard view is that affirming not-A is more complex than affirming the atomic sentence A itself, with the latter determining its sense. But we could learn 'not' directly, by learning at once how to either affirm A or reject A.
     From: Ian Rumfitt ("Yes" and "No" [2000], IV)
     A reaction: [compressed] This seems fairly anti-Fregean in spirit, because it looks at the psychology of how we learn 'not' as a way of clarifying what we mean by it, rather than just looking at its logical behaviour (and thus giving it a secondary role).