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All the ideas for 'Plural Quantification', 'works' and 'My Philosophical Development'

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39 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Only by analysing is progress possible in philosophy [Russell]
     Full Idea: I remain firmly persuaded, in spite of some modern tendencies to the contrary, that only by analysing is progress possible, …for example, by analysing physics and perception, the problem of mind and matter can be completely solved.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.1)
     A reaction: I don't share his confidence in the second part of this, but I subscribe to the maxim that 'analsis is the path to wisdom'. It is a very western view, and lots of people (mostly of a mystical disposition) hate it, but I see no better path.
Analysis gives new knowledge, without destroying what we already have [Russell]
     Full Idea: It seems to me evident that, as in the case of impure water, analysis gives new knowledge without destroying any of the previously existing knowledge.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.11)
     A reaction: I agree. On the whole, opponents of analysis are sentimental mystics who are reluctant to think carefully about life. I'm not sure what careful and concentrated thought is capable of, apart from analysis.
2. Reason / A. Nature of Reason / 7. Status of Reason
Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting]
     Full Idea: In early work Foucault writes in opposition to the Enlightenment. ..The reason that was supposed to liberate us has itself become the primary instrument of our domination. ..His heroisation of the mad aims to set up an alternative to the regime of reason.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 7
     A reaction: Adorno and Horkheimer are cited as background. I hear Spinoza turning in his grave, because right reason could never be an instrument of domination.
2. Reason / D. Definition / 12. Paraphrase
'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo]
     Full Idea: The Geach-Kaplan sentence 'Some critics admire only one another' provably has no singular first-order paraphrase using only its predicates.
     From: Øystein Linnebo (Plural Quantification [2008], 1)
     A reaction: There seems to be a choice of either going second-order (picking out a property), or going plural (collectively quantifying), or maybe both.
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
The theory of types makes 'Socrates and killing are two' illegitimate [Russell]
     Full Idea: 'Socrates and killing are two' would be an illegitimate sentence according to the doctrine of types.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: This nicely shows how Ryle's notion of a 'category mistake', although it is a commonsense observation of bogus reasoning, arises out of Russell's logical analysis of sets. Of course, the theory of types has its critics.
3. Truth / A. Truth Problems / 5. Truth Bearers
Truth belongs to beliefs, not to propositions and sentences [Russell]
     Full Idea: Truth and falsehood both belong primarily to beliefs, and only derivatively to propositions and sentences.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.15)
     A reaction: I'm not sure why a proposition which is date/place stamped ('it is raining, here and now') could not be considered a truth, even if no one believed it. Is not the proposition 'squares have four sides' true?
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell]
     Full Idea: My original use of classes was gradually more and more replaced by properties, and in the end disappeared except as a symbolic convenience.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: I wish I knew what properties are. On the whole, though, I agree with this, because it is more naturalistic. We may place things in classes because of their properties, and this means there are natural classes, but classes can't have a life of their own.
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A pure logic is wholly general, purely formal, and directly known [Linnebo]
     Full Idea: The defining features of a pure logic are its absolute generality (the objects of discourse are irrelevant), and its formality (logical truths depend on form, not matter), and its cognitive primacy (no extra-logical understanding is needed to grasp it).
     From: Øystein Linnebo (Plural Quantification [2008], 3)
     A reaction: [compressed] This strikes me as very important. The above description seems to contain no ontological commitment at all, either to the existence of something, or to two things, or to numbers, or to a property. Pure logic seems to be 'if-thenism'.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
     Full Idea: The metaphysics of Leibniz was explicitly based upon the doctrine that every proposition attributes a predicate to a subject and (what seemed to him almost the same thing) that every fact consists of a substance having a property.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.5)
     A reaction: I think it is realised now that although predicates tend to attribute properties to things, they are far from being the same thing. See Idea 4587, for example. Russell gives us an interesting foot in the door of Leibniz's complex system.
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names are meaningless unless there is an object which they designate [Russell]
     Full Idea: Unlike descriptions, names are meaningless unless there is an object which they designate.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: This interests Russell because of its ontological implications. If we reduce language to names, we can have a pure ontology of 'objects'. We need a system for saying whether a description names something - which is his theory of definite descriptions.
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
     Full Idea: Plural quantification can be used to eliminate the commitment of science and common sense to complex objects. We can use plural quantification over mereological atoms arranged tablewise or chairwise.
     From: Øystein Linnebo (Plural Quantification [2008], 4.5)
     A reaction: [He cites Hossack and van Ingwagen]
Plural plurals are unnatural and need a first-level ontology [Linnebo]
     Full Idea: Higher-order plural quantification (plural plurals) is often rejected because plural quantification is supposedly ontological innocent, with no plural things to be plural, and because it is not found in ordinary English.
     From: Øystein Linnebo (Plural Quantification [2008], 2.4)
     A reaction: [Summary; he cites Boolos as a notable rejector] Linnebo observes that Icelandic contains a word 'tvennir' which means 'two pairs of'.
Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
     Full Idea: Plural quantification seems to offer ontological economy. We can pay the price of a mere first-order theory and then use plural quantification to get for free the corresponding monadic second-order theory, which would be an ontological bargain.
     From: Øystein Linnebo (Plural Quantification [2008], 4.4)
     A reaction: [He mentions Hellman's modal structuralism in mathematics]
Second-order quantification and plural quantification are different [Linnebo]
     Full Idea: Second-order quantification and plural quantification are generally regarded as different forms of quantification.
     From: Øystein Linnebo (Plural Quantification [2008], 2)
Traditionally we eliminate plurals by quantifying over sets [Linnebo]
     Full Idea: The traditional view in analytic philosophy has been that all plural locutions should be paraphrased away by quantifying over sets, though Boolos and other objected that this is unnatural and unnecessary.
     From: Øystein Linnebo (Plural Quantification [2008], 5)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
We tried to define all of pure maths using logical premisses and concepts [Russell]
     Full Idea: The primary aim of our 'Principia Mathematica' was to show that all pure mathematics follows from purely logical premisses and uses only concepts definable in logical terms.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.7)
     A reaction: This spells out the main programme of logicism, by its great hero, Russell. The big question now is whether Gödel's Incompleteness Theorems have succeeded in disproving logicism.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell]
     Full Idea: The Formalists, led by Hilbert, maintain that arithmetic symbols are merely marks on paper, devoid of meaning, and that arithmetic consists of certain arbitrary rules, like the rules of chess, by which these marks can be manipulated.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.10)
     A reaction: I just don't believe that maths is arbitrary, and this view pushes me into the arms of the empiricists, who say maths is far more likely to arise from experience than from arbitrary convention. The key to maths is patterns.
Formalism can't apply numbers to reality, so it is an evasion [Russell]
     Full Idea: Formalism is perfectly adequate for doing sums, but not for the application of number, such as the simple statement 'there are three men in this room', so it must be regarded as an unsatisfactory evasion.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.10)
     A reaction: This seems to me a powerful and simple objection. The foundation of arithmetic is that there are three men in the room, not that one plus two is three. Three men and three ties make a pattern, which we call 'three'.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionism says propositions are only true or false if there is a method of showing it [Russell]
     Full Idea: The nerve of the Intuitionist theory, led by Brouwer, is the denial of the law of excluded middle; it holds that a proposition can only be accounted true or false when there is some method of ascertaining which of these it is.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.2)
     A reaction: He cites 'there are three successive sevens in the expansion of pi' as a case in point. This seems to me an example of the verificationism and anti-realism which is typical of that period. It strikes me as nonsense, but Russell takes it seriously.
7. Existence / C. Structure of Existence / 6. Fundamentals / d. Logical atoms
In 1899-1900 I adopted the philosophy of logical atomism [Russell]
     Full Idea: In the years 1899-1900 I adopted the philosophy of logical atomism.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.1)
     A reaction: This is interesting (about Russell) because he only labelled it as 'logical atomism' in about 1912, and only wrote about it as such in 1918. It is helpful to understand that the theory of definite descriptions was part of his logical atomism.
Complex things can be known, but not simple things [Russell]
     Full Idea: I have come to think that, although many things can be known to be complex, nothing can be known to be simple.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: This appears to be a rejection of his logical atomism. It goes with a general rebellion against foundationalist epistemology, because the empiricists foundations (e.g. Hume's impressions) seem devoid of all content.
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts are everything, except simples; they are either relations or qualities [Russell]
     Full Idea: Facts, as I am using the word, consist always of relations between parts of a whole or qualities of single things; facts, in a word, are whatever there is except what (if anything) is completely simple.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.13)
     A reaction: This is the view that goes with Russell's 'logical atomism', where the 'completely simple' is used to build up the 'facts'. If World War One was a fact, was it a 'relation' or a 'quality'. Must events then be defined in terms of those two?
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo]
     Full Idea: Some philosophers speak about a theory's 'ideological commitments' and not just about its 'ontological commitments'.
     From: Øystein Linnebo (Plural Quantification [2008], 5.4)
     A reaction: This is a third strategy for possibly evading one's ontological duty, along with fiddling with the words 'exist' or 'object'. An ideological commitment to something to which one is not actually ontologically committed conjures up stupidity and dogma.
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Ordinary speakers posit objects without concern for ontology [Linnebo]
     Full Idea: Maybe ordinary speakers aren't very concerned about their ontological commitments, and sometimes find it convenient to posit objects.
     From: Øystein Linnebo (Plural Quantification [2008], 2.4)
     A reaction: I think this is the whole truth about the ontological commitment of ordinary language. We bring abstraction under control by pretending it is a world of physical objects. The 'left wing' in politics, 'dark deeds', a 'huge difference'.
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Universals can't just be words, because words themselves are universals [Russell]
     Full Idea: Those who dislike universals have thought that they could be merely words; the trouble with this view is that a word itself is a universal.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: Russell gradually lost his faith in most things, but never in universals. I find it unconvincing that we might dismiss nominalism so easily. I'm not sure why the application of the word 'cat' could not just be conventional.
11. Knowledge Aims / A. Knowledge / 1. Knowledge
In epistemology we should emphasis the continuity between animal and human minds [Russell]
     Full Idea: It seems to me desirable in the theory of knowledge to emphasise the continuity between animal and human minds.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.11)
     A reaction: I strongly agree with this, mainly because it avoids overemphasis on language in epistemology. It doesn't follow that animals know a lot, and there is a good case for saying that they don't actually 'know' anything, despite having true beliefs.
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism judges by effects, but I judge truth by causes [Russell]
     Full Idea: Pragmatism holds that a belief is to be judged if it has certain effects, whereas I hold that an empirical belief is to be judged true if it has certain kinds of causes.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.15)
     A reaction: I'm with Russell here, and this seems to me a convincing objection to pragmatism. The simple problem is that falsehoods can occasionally have very beneficial effects. Beliefs are made true by the facts, not by their consequences.
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricists seem unclear what they mean by 'experience' [Russell]
     Full Idea: When I began to think about theory of knowledge, I found that none of the philosophers who emphasise 'experience' tells us what they mean by the word.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.11)
     A reaction: A very significant comment about empiricism. Hume does not seem very clear about what an 'impression' is. Russell's problem has been dealt with intensively by modern empiricists, who discuss 'the given', and conceptualised perception.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell]
     Full Idea: Not all true beliefs are knowledge; the stock example to the contrary is that of a clock which has stopped by which I believe to be going and which I happen to look at when, by chance, it shows the right time.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.15)
     A reaction: [in his 1948:112] Russell had spotted Gettier-type problems long before Gettier. The problem of lucky true beliefs dates back to Plato (Idea 2140). This example is also a problem for reliabilism, if the clock is usually working fine.
13. Knowledge Criteria / E. Relativism / 1. Relativism
Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting]
     Full Idea: Foucault's project is to question quite specific claims to cognitive authority, made by many psychologists and social scientists. He has not problems with other domains, such as mathematics and the basic sciences.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 5
     A reaction: Nowadays we describe his target as Epistemic Injustice (see book of that title by Miranda Fricker).
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting]
     Full Idea: Unlike Marxists, Foucault's project is to offer an internal account of human thinking, without assuming a privileged status for the conscious content of that thought.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 4
     A reaction: His project is historical. Personally I resent anyone who claims to understand my thought better than I do. I suppose my intellectual duty is to read Foucault, and see (honestly) whether his project applies to me.
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell]
     Full Idea: Behaviourists refuse to admit images because they cannot be observed from without, but this causes them difficulties when they attempt to explain either memory or imagination.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.13)
     A reaction: This is a striking objection to behaviourism, and it is rarely mentioned in modern discussions of the topic. They might try denying the existence of private 'images', but that wouldn't be very plausible.
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Surprise is a criterion of error [Russell]
     Full Idea: Surprise is a criterion of error.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.15)
     A reaction: Russell is not too precise about this, but it is a nice point. Surprise is thwarted expectation, which implies prior misjudgement.
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Unverifiable propositions about the remote past are still either true or false [Russell]
     Full Idea: There is no conceivable method by which we can discover whether the proposition 'It snowed on Manhattan Island on the 1st January in the year 1 A.D.' is true or false, but it seems preposterous to maintain that it is neither.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.10)
     A reaction: I love this example, which seems so simple and so clear-cut. It criticises verificationism, and gives strong intuitive support for realism, and supports the law of excluded middle.
19. Language / C. Assigning Meanings / 3. Predicates
Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo]
     Full Idea: The predicate 'is on the table' is 'distributive', since some things are on the table if each one is, whereas the predicate 'form a circle' is 'non-distributive', since it is not analytic that when some things form a circle, each one forms a circle.
     From: Øystein Linnebo (Plural Quantification [2008], 1.1)
     A reaction: The first predicate can have singular or plural subjects, but the second requires a plural subject? Hm. 'The rope forms a circle'. The second is example is not true, as well as not analytic.
19. Language / D. Propositions / 4. Mental Propositions
You can believe the meaning of a sentence without thinking of the words [Russell]
     Full Idea: If you have just heard a loud clap of thunder, you believe what is expressed by 'there has just been a loud clap of thunder' even if no words come into your mind.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.13)
     A reaction: This seems to me important, and accurate. We should not be too mesmerised by language. Animals have beliefs, and this is a nice example of an undeniable non-linguistic human belief.
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The author function of any text is a plurality of selves [Foucault, by Gutting]
     Full Idea: Foucault maintains that for any 'authored' text a plurality of selves fulfils the author function.
     From: report of Michel Foucault (works [1978]) by Gary Gutting - Foucault: a very short introduction 2
     A reaction: This is a completely different concept of a 'self' from the one normally found in this database. I would call it the sociological concept of self, as something changing with context. So how many selves is 'Jane Austen'?
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault]
     Full Idea: The decision 'to prefer the risk of death to the certainty of having to obey' is the 'last anchor point' for any assertion of rights, 'one more solid and closer to the experience than "natural rights"'.
     From: Michel Foucault (works [1978], EW III:449)
     A reaction: I recall a group of Afrikaan men going to face certain death, rather than give up apartheid.
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
Power is used to create identities and ways of life for other people [Foucault, by Shorten]
     Full Idea: For Foucault power is less about repressing people or issuing commands, and more about producing identities and ways of living.
     From: report of Michel Foucault (works [1978]) by Andrew Shorten - Contemporary Political Theory 01
     A reaction: I take this to be the culmination of the Hegelian view of a person, as largely created by social circumstances rather than by biology. I'm beginning to think that Foucault may be a very important philosopher - although elusive.