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All the ideas for 'Meaning and the Moral Sciences', 'works' and 'Number Determiners, Numbers, Arithmetic'

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38 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
A culture needs to admit that knowledge is more extensive than just 'science' [Putnam]
     Full Idea: The acknowledgement that the sphere of knowledge is wider than the sphere of 'science' seems to me to be a cultural necessity if we are to arrive at a sane and human view of ourselves or of science.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Intro)
     A reaction: A very nice remark, with which I intuitively agree, but then you are left with the problem of explaining how something can qualify as knowledge when it can't pass the stringent tests of science. How wide to we spread, and why?
'True' and 'refers' cannot be made scientically precise, but are fundamental to science [Putnam]
     Full Idea: Some non-scientific knowledge is presupposed by science; for example, I have been arguing that 'refers' and 'true' cannot be made scientifically precise; yet truth is a fundamental term in logic - a precise science.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec VI)
     A reaction: We might ask whether we 'know' what 'true' and 'refers' mean, as opposed to being able to use them. If their usage doesn't count as knowledge, then we could still end up with all actual knowledge being somehow 'scientific'.
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.
3. Truth / A. Truth Problems / 1. Truth
'The rug is green' might be warrantedly assertible even though the rug is not green [Putnam]
     Full Idea: 'The rug is green' might be warrantedly assertible even though the rug is not green.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Three)
     A reaction: The word 'warranted' seems to be ambiguous in modern philosophy. See Idea 6150. There seem to be internalist and externalist versions. It seems clear to say that a belief could be well-justified and yet false.
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
We need the correspondence theory of truth to understand language and science [Putnam]
     Full Idea: A correspondence theory of truth is needed to understand how language works, and how science works.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Intro)
     A reaction: Putnam retreated from this position to a more pragmatic one later on, but all my sympathies are with the present view, despite being repeatedly told by modern philosophers that I am wrong. See McGinn (Idea 6085) and Searle (Idea 3508).
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence between concepts and unconceptualised reality is impossible [Putnam]
     Full Idea: The great nineteenth century argument against the correspondence theory of truth was that one cannot think of truth as correspondence to facts (or 'reality') because one would need to compare concepts directly with unconceptualised reality.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Three)
     A reaction: Presumably the criticism was offered by idealists, who preferred a coherence theory. The defence is to say that there is a confusion here between a concept and the contents of a concept. The contents of a concept are designed to be facts.
3. Truth / F. Semantic Truth / 2. Semantic Truth
In Tarski's definition, you understand 'true' if you accept the notions of the object language [Putnam]
     Full Idea: Anyone who accepts the notions of whatever object language is in question - and this can be chosen arbitrarily - can also understand 'true' as defined by Tarski for that object language.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Intro)
     A reaction: Thus if we say "'snow is white' is true iff snow is white", then if you 'accept the notion' that snow is white in English, you understand what 'true' means. This seems to leave you with the meaning of 'snow is white' being its truth conditions.
Tarski has given a correct account of the formal logic of 'true', but there is more to the concept [Putnam]
     Full Idea: What Tarski has done is to give us a perfectly correct account of the formal logic of the concept 'true', but the formal logic of the concept is not all there is to the notion of truth.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Intro)
     A reaction: I find this refreshing. A lot of modern philosophers seem to think that truth is no longer an interesting philosophical topic, because deflationary accounts have sidelined it, but I take the concept to be at the heart of metaphysics.
Only Tarski has found a way to define 'true' [Putnam]
     Full Idea: There is only one way anyone knows how to define 'true' and that is Tarski's way.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec II.5)
     A reaction: However, Davidson wrote a paper called 'On the Folly of Trying to Define Truth', which seems to reject even Tarski. Also bear in mind Putnam's earlier remark (Idea 6265) that there is more to truth than Tarski's definition. Just take 'true' as primitive.
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
     Full Idea: The semantic value of a determiner (an adjective) is a function from semantic values to nouns to semantic values of full noun phrases.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §3.1)
     A reaction: This kind of states the obvious (assuming one has a compositional view of sentences), but his point is that you can't just eliminate adjectival uses of numbers by analysing them away, as if they didn't do anything.
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
     Full Idea: Quantifiers have two functions in communication - to range over a domain of entities, and to have an inferential role (e.g. F(t)→'something is F'). In ordinary language these two come apart for singular terms not standing for any entities.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: This simple observations seems to me to be wonderfully illuminating of a whole raft of problems, the sort which logicians get steamed up about, and ordinary speakers don't. Context is the key to 90% of philosophical difficulties (?). See Idea 10008.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
     Full Idea: There are two ways to read to read '2 + 2 = 4', as singular ('two and two is four'), and as plural ('two and two are four').
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.1)
     A reaction: Hofweber doesn't notice that this phenomenon occurs elsewhere in English. 'The team is playing well', or 'the team are splitting up'; it simply depends whether you are holding the group in though as an entity, or as individuals. Important for numbers.
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
     Full Idea: There are three different uses of the number words: the singular-term use (as in 'the number of moons of Jupiter is four'), the adjectival (or determiner) use (as in 'Jupiter has four moons'), and the symbolic use (as in '4'). How are they related?
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §1)
     A reaction: A classic philosophy of language approach to the problem - try to give the truth-conditions for all three types. The main problem is that the first one implies that numbers are objects, whereas the others do not. Why did Frege give priority to the first?
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
     Full Idea: Why is arithmetic so hard to learn, and why does it seem so easy to us now? For example, subtracting 789 from 26,789.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.2)
     A reaction: His answer that we find thinking about objects very easy, but as children we have to learn with difficulty the conversion of the determiner/adjectival number words, so that we come to think of them as objects.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
     Full Idea: I argue for an internalist conception of arithmetic. Arithmetic is not about a domain of entities, not even quantified entities. Quantifiers over natural numbers occur in their inferential-role reading in which they merely generalize over the instances.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: Hofweber offers the hope that modern semantics can disentangle the confusions in platonist arithmetic. Very interesting. The fear is that after digging into the semantics for twenty years, you find the same old problems re-emerging at a lower level.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
     Full Idea: That 'two dogs are more than one' is clearly true, but its truth doesn't depend on the existence of dogs, as is seen if we consider 'two unicorns are more than one', which is true even though there are no unicorns.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.2)
     A reaction: This is an objection to crude empirical accounts of arithmetic, but the idea would be that there is a generalisation drawn from objects (dogs will do nicely), which then apply to any entities. If unicorns are entities, it will be true of them.
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
     Full Idea: Determiner uses of number words may disappear on analysis. This is inspired by Russell's elimination of the word 'the'. The number becomes blocks of first-order quantifiers at the level of semantic representation.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §2)
     A reaction: [compressed] The proposal comes from platonists, who argue that numbers cannot be analysed away if they are objects. Hofweber says the analogy with Russell is wrong, as 'the' can't occur in different syntactic positions, the way number words can.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
     Full Idea: Representing arithmetic formally we do not primarily care about semantic features of number words. We are interested in capturing the inferential relations of arithmetical statements to one another, which can be done elegantly in first-order logic.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §6.3)
     A reaction: This begins to pinpoint the difference between the approach of logicists like Frege, and those who are interested in the psychology of numbers, and the empirical roots of numbers in the process of counting.
7. Existence / D. Theories of Reality / 2. Realism
Realism is a theory, which explains the convergence of science and the success of language [Putnam]
     Full Idea: Realism is an empirical theory; it explains the convergence of scientific theories, where earlier theories are often limiting cases of later theories (which is why theoretical terms preserve their reference); and it explains the success of language.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Four)
     A reaction: I agree. Personally, I think of Plato's Theory of Forms and all religions as empirical theories. The response from anti-realists is generally to undermine confidence in the evidence which these 'empirical theories' are said to explain.
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
If a tautology is immune from revision, why would that make it true? [Putnam]
     Full Idea: If we held, say, 'All unmarried men are unmarried' as absolutely immune from revision, why would this make it true?
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Four)
     A reaction: A very nice question. Like most American philosophers, Putnam accepts Quine's attack on the unrevisability of analytic truths. His point here is that defenders of analytic truths are probably desperate to preserve basic truths, but it won't work.
13. Knowledge Criteria / C. External Justification / 7. Testimony
Knowledge depends on believing others, which must be innate, as inferences are not strong enough [Putnam]
     Full Idea: Our ability to picture how people are likely to respond may well be innate; indeed, our disposition to believe what other people tell us (which is fundamental to knowledge) could hardly be an inference, as that isn’t good enough for knowledge.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec VI)
     A reaction: An interesting claim. There could be an intermediate situation, which is a hard-wired non-conscious inference. When dismantled, the 'innate' brain circuits for assessing testimony could turn out to work on logic and evidence.
Empathy may not give knowledge, but it can give plausibility or right opinion [Putnam]
     Full Idea: Empathy with others may give less than 'Knowledge', but it gives more than mere logical or physical possibility; it gives plausibility, or (to revive Platonic terminology) it provides 'right opinion'.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec VI)
     A reaction: See Ideas 174 and 2140 for Plato. Putnam is exploring areas of knowledge outside the limits of strict science. Behind this claim seems to lie the Principle of Charity (3971), but a gang of systematic liars (e.g. evil students) would be a problem case.
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).
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
You can't decide which explanations are good if you don't attend to the interest-relative aspects [Putnam]
     Full Idea: Explanation is an interest-relative notion …explanation has to be partly a pragmatic concept. To regard the 'pragmatics' of explanation as no part of the concept is to abdicate the job of figuring out what makes an explanation good.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], p. 41-2), quoted by David-Hillel Ruben - Explaining Explanation Ch 1
     A reaction: I suppose this is just obvious, depending on how far you want to take the 'interest-relative' bit. If a fool is fobbed off with a trivial explanation, there must be some non-relative criterion for assessing that.
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.
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
     Full Idea: Our minds mainly reason about objects. Most cognitive problems we are faced with deal with particular objects, whether they are people or material things. Reasoning about them is what our minds are good at.
     From: Thomas Hofweber (Number Determiners, Numbers, Arithmetic [2005], §4.3)
     A reaction: Hofweber is suggesting this as an explanation of why we continually reify various concepts, especially numbers. Very plausible. It works for qualities of character, and explains our tendency to talk about universals as objects ('redness').
19. Language / A. Nature of Meaning / 1. Meaning
Theory of meaning presupposes theory of understanding and reference [Putnam]
     Full Idea: Theory of meaning presupposes theory of understanding and reference.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Four)
     A reaction: How can you have a theory of understanding without a meaning that requires to be understood? Personally I think about the minds of small animals when pondering this, and that seems to put reference and truth at the front of the queue.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Truth conditions can't explain understanding a sentence, because that in turn needs explanation [Putnam]
     Full Idea: You can't treat understanding a sentence as knowing its truth conditions, because it then becomes unintelligible what that knowledge in turn consists in.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Four)
     A reaction: The implication, I take it, is circularity; how can you specify truth conditions if you don't understand sentences? Putnam here agrees with Dummett that verification must be involved. Something has to be taken as axiomatic in all this.
We should reject the view that truth is prior to meaning [Putnam]
     Full Idea: I am suggesting that we reject the view that truth (based on the semantic theory) is prior to meaning.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Three)
     A reaction: It is a nice question which of truth or meaning has logical priority. One might start by speculating about how and why animals think. A moth attracted to flame is probably working on truth without much that could be called 'meaning'.
19. Language / B. Reference / 1. Reference theories
How reference is specified is not what reference is [Putnam]
     Full Idea: A theory of how reference is specified isn't a theory of what reference is.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec V)
     A reaction: A simple and important point. We may achieve reference by naming, describing, grunting or pointing, but the question is, what have we achieved when we get there?
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
The claim that scientific terms are incommensurable can be blocked if scientific terms are not descriptions [Putnam]
     Full Idea: The line of reasoning of Kuhn and Feyerabend can be blocked by arguing (as I have in various places, and as Saul Kripke has) that scientific terms are not synonymous with descriptions.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec II.2)
     A reaction: A nice clear statement of the motivation for creating the causal theory of reference. See Idea 6162. We could still go back and ask whether we could block scientific relativism by rethinking how descriptions work, instead of abandoning them.
19. Language / F. Communication / 4. Private Language
A private language could work with reference and beliefs, and wouldn't need meaning [Putnam]
     Full Idea: A language made up and used by a being who belonged to no community would have no need for such a concept as the 'meaning' of a term. To state the reference of each term and what the language speaker believes is to tell the whole story.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Three)
     A reaction: A subtle response to Wittgenstein's claim (e.g. Ideas 4152,4158), but I am not sure what Putnam means. I would have thought that beliefs had to be embodied in propositions. They may not need 'meaning' quite as urgently as sentences, but still…
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
The correct translation is the one that explains the speaker's behaviour [Putnam]
     Full Idea: What it is to be a correct translation is to be the translation that best explains the behaviour of the speaker.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Lec III)
     A reaction: This seems fairly close to Quine, but rather puzzlingly uses the word 'correct'. If our criteria of translation are purely behavioural, there is no way we can be correct after one word ('gavagai'), so at what point does it become 'correct'?
Language maps the world in many ways (because it maps onto other languages in many ways) [Putnam]
     Full Idea: We could say that the language has more than one correct way of being mapped onto the world (it must, since it has more than one way of being correctly mapped onto a language which is itself correctly mapped onto the world).
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Four)
     A reaction: This spells out nicely the significance of Quine's 'indeterminacy of translation'. Others have pointed out that the fact that language maps onto world in many ways need not be anti-realist; the world is endless, and language is limited.
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
You can't say 'most speaker's beliefs are true'; in some areas this is not so, and you can't count beliefs [Putnam]
     Full Idea: The maxim that 'most of a speaker's beliefs are true' as an a priori principle governing radical translation seems to me to go too far; first, I don't know how to count beliefs; second, most people's beliefs on some topics (philosophy) are probably false.
     From: Hilary Putnam (Meaning and the Moral Sciences [1978], Pt Three)
     A reaction: Putnam prefers a pragmatic view, where charity is applicable if behaviour is involved. Philosophy is too purely theoretical. The extent to which Charity should apply in philosophy seminars is a nice question, which all students should test in practice.
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.