32 ideas
| 9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
| Full Idea: The tendency to attack forms of expression rather than attempting to appreciate what is actually being said is one of the more unfortunate habits that analytic philosophy inherited from Frege. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IV) | |
| A reaction: The key to this, I say, is to acknowledge the existence of propositions (in brains). For example, this belief will make teachers more sympathetic to pupils who are struggling to express an idea, and verbal nit-picking becomes totally irrelevant. |
| 22366 | There is no objectivity in social sciences - only viewpoints for selecting and organising data [Weber] |
| Full Idea: There is no absolutely objective scientific analysis of 'social phenomena' independent of special and 'one-sided' viewpoints according to which expressly or tacitly, consciously or unconsciously they are selected and organised for expository purposes. | |
| From: Max Weber ('Objectivity' in Social Sciences and Social Policy [1904], p.72), quoted by Reiss,J/Spreger,J - Scientific Objectivity 5.1 | |
| A reaction: Weber urged some objectivity by not judging agents' goals. Also see Idea 22367 |
| 22367 | The results of social research can be true, and not just subjectively valid for one person [Weber] |
| Full Idea: Cultural sciences do not have results which are 'subjective' and only valid for one person and not others. ...For scientific truth is precisely what is valid for all who seek the truth. | |
| From: Max Weber ('Objectivity' in Social Sciences and Social Policy [1904], p.84), quoted by Reiss,J/Spreger,J - Scientific Objectivity 5.1 | |
| A reaction: Weber said that although research interests are subjective, the social causes discovered can be objective. |
| 18487 | We want to know what makes sentences true, rather than defining 'true' [McFetridge] |
| Full Idea: The generalisation 'What makes a (any) sentence true?' is not a request for definitions of 'true' (the concept), but rather requests for (partial) explanations of why certain particular sentences are true. | |
| From: Ian McFetridge (Truth, Correspondence, Explanation and Knowledge [1977], II) | |
| A reaction: McFetridge is responding to the shortcomings of Tarski's account of truth. The mystery seems to be why some of our representations of the world are 'successful', and others are not. |
| 9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
| Full Idea: The conception that what can be numbered is some object (including flocks of sheep) relative to a partition - a choice of unit - survived even in the late nineteenth century in the form of the rejection of the null set (and difficulties with unit sets). | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], IX) | |
| A reaction: This old view can't be entirely wrong! Frege makes the point that if asked to count a pack of cards, you must decide whether to count cards, or suits, or pips. You may not need a 'unit', but you need a concept. 'Units' name concept-extensions nicely! |
| 9984 | We can have a series with identical members [Tait] |
| Full Idea: Why can't we have a series (as opposed to a linearly ordered set) all of whose members are identical, such as (a, a, a...,a)? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VII) | |
| A reaction: The question is whether the items order themselves, which presumably the natural numbers are supposed to do, or whether we impose the order (and length) of the series. What decides how many a's there are? Do we order, or does nature? |
| 13416 | Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C] |
| Full Idea: The axiomatic conception of mathematics is the only viable one. ...But they are true because they are axioms, in contrast to the view advanced by Frege (to Hilbert) that to be a candidate for axiomhood a statement must be true. | |
| From: report of William W. Tait (Intro to 'Provenance of Pure Reason' [2005], p.4) by Charles Parsons - Review of Tait 'Provenance of Pure Reason' §2 | |
| A reaction: This looks like the classic twentieth century shift in the attitude to axioms. The Greek idea is that they must be self-evident truths, but the Tait-style view is that they are just the first steps in establishing a logical structure. I prefer the Greeks. |
| 18488 | We normally explain natural events by citing further facts [McFetridge] |
| Full Idea: If one were asked 'What makes salt soluble in water?', the most natural answer would be something of the style 'The fact that it has such-and-such structure'. | |
| From: Ian McFetridge (Truth, Correspondence, Explanation and Knowledge [1977], II) | |
| A reaction: Personally I would want to talk about its 'powers' (dispositional properties), rather than its 'structure' (categorical properties). This defends facts, but you could easily paraphrase 'fact' out of this reply (as McFetridge realised). |
| 12184 | Logical necessity overrules all other necessities [McFetridge] |
| Full Idea: If it is logically necessary that if p then q, then there is no other sense of 'necessary' in which it is not necessary that if p then q. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1) | |
| A reaction: The thesis which McFetridge proposes to defend. The obvious rival would be metaphysical necessity, and the rival claim would presumably be that things are only logically necessary if that is entailed by a metaphysical necessity. Metaphysics drives logic. |
| 15083 | The fundamental case of logical necessity is the valid conclusion of an inference [McFetridge, by Hale] |
| Full Idea: McFetridge's conception of logical necessity is one which sees the concept as receiving its fundamental exemplification in the connection between the premiss and conclusion of a deductively valid inference. | |
| From: report of Ian McFetridge (Logical Necessity: Some Issues [1986]) by Bob Hale - Absolute Necessities 2 | |
| A reaction: This would mean that p could be logically necessary but false (if it was a valid argument from false premisses). What if it was a valid inference in a dodgy logical system (including 'tonk', for example)? |
| 15084 | In the McFetridge view, logical necessity means a consequent must be true if the antecedent is [McFetridge, by Hale] |
| Full Idea: McFetridge's view proves that if the conditional corresponding to a valid inference is logically necessary, then there is no sense in which it is possible that its antecedent be true but its consequent false. ..This result generalises to any statement. | |
| From: report of Ian McFetridge (Logical Necessity: Some Issues [1986]) by Bob Hale - Absolute Necessities 2 | |
| A reaction: I am becoming puzzled by Hale's assertion that logical necessity is 'absolute', while resting his case on a conditional. Are we interested in the necessity of the inference, or the necessity of the consequent? |
| 12180 | Logical necessity requires that a valid argument be necessary [McFetridge] |
| Full Idea: There will be a legitimate notion of 'logical' necessity only if there is a notion of necessity which attaches to the claim, concerning a deductively valid argument, that if the premisses are true then so is the conclusion. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1) | |
| A reaction: He quotes Aristotle's Idea 11148 in support. Is this resting a stronger idea on a weaker one? Or is it the wrong way round? We endorse validity because we see the necessity; we don't endorse necessity because we see 'validity'. |
| 12181 | Traditionally, logical necessity is the strongest, and entails any other necessities [McFetridge] |
| Full Idea: The traditional crucial assumption is that logical necessity is the strongest notion of necessity. If it is logically necessary that p, then it is necessary that p in any other use of the notion of necessity there may be (physically, practically etc.). | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1) | |
| A reaction: Sounds right. We might say it is physically necessary simply because it is logically necessary, and even that it is metaphysically necessary because it is logically necessary (required by logic). Logical possibility is hence the weakest kind? |
| 12183 | It is only logical necessity if there is absolutely no sense in which it could be false [McFetridge] |
| Full Idea: Is there any sense in which, despite an ascription of necessity to p, it is held that not-p is possible? If there is, then the original claim then it was necessary is not a claim of 'logical' necessity (which is the strongest necessity). | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1) | |
| A reaction: See Idea 12181, which leads up to this proposed "test" for logical necessity. McFetridge has already put epistemic ('for all I know') possibility to one side. □p→¬◊¬p is the standard reading of necessity. His word 'sense' bears the burden. |
| 12192 | The mark of logical necessity is deduction from any suppositions whatever [McFetridge] |
| Full Idea: The manifestation of the belief that a mode of inference is logically necessarily truth-preserving is the preparedness to employ that mode of inference in reasoning from any set of suppositions whatsoever. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §4) | |
| A reaction: He rests this on the idea of 'cotenability' of the two sides of a counterfactual (in Mill, Goodman and Lewis). There seems, at first blush, to be a problem of the relevance of the presuppositions. |
| 12182 | We assert epistemic possibility without commitment to logical possibility [McFetridge] |
| Full Idea: Time- and person-relative epistemic possibility can be asserted even when logical possibility cannot, such as undecided mathematical propositions. 'It may be that p' just comes to 'For all I know, not-p'. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §1) | |
| A reaction: If it is possible 'for all I know', then it could be actual for all I know, and if we accept that it might be actual, we could hardly deny that it is logically possible. Logical and epistemic possibilities of mathematical p stand or fall together. |
| 12187 | Objectual modal realists believe in possible worlds; non-objectual ones rest it on the actual world [McFetridge] |
| Full Idea: The 'objectual modal realist' holds that what makes modal beliefs true are certain modal objects, typically 'possible worlds'. ..The 'non-objectual modal realist' says modal judgements are made true by how things stand with respect to this world. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §2) | |
| A reaction: I am an enthusiastic 'non-objectual modal realist'. I accept the argument that real possible worlds have no relevance to the actual world, and explain nothing (see Jubien). The possibilities reside in the 'powers' of this world. See Molnar on powers. |
| 12186 | Modal realists hold that necessities and possibilities are part of the totality of facts [McFetridge] |
| Full Idea: The 'modal realist' holds that part of the totality of what is the case, the totality of facts, are such things as that certain events could have happened, certain propositions are necessarily true, if this happened then that would have been the case. | |
| From: Ian McFetridge (Logical Necessity: Some Issues [1986], §2) | |
| A reaction: I am an enthusiastic modal realist. If the aim of philosophy is 'to understand' (and I take that to be the master idea of the subject) then no understanding is possible which excludes the possibilities and necessities in things. |
| 7082 | Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley] |
| Full Idea: Weber coined the distinction between explanation and clarification, saying that natural phenomena require causal explanation, while social phenomena require clarification by giving reasons or offering possible motives for how things are. | |
| From: report of Max Weber (works [1905]) by Simon Critchley - Continental Philosophy - V. Short Intro Ch.7 | |
| A reaction: This is music to the ears of property dualists and other non-reductivists, but if you go midway in the hierarchy of animals (a mouse, say) the distinction blurs. Weber probably hadn't digested Darwin, whose big impact came around 1905. |
| 9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
| Full Idea: If the sense of a proposition about the abstract domain is given in terms of the corresponding proposition about the (relatively) concrete domain, ..and the truth of the former is founded upon the truth of the latter, then this is 'logical abstraction'. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: The 'relatively' in parentheses allows us to apply his idea to levels of abstraction, and not just to the simple jump up from the concrete. I think Tait's proposal is excellent, rather than purloining 'abstraction' for an internal concept within logic. |
| 9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
| Full Idea: Although (in Cantor and Dedekind) abstraction does not (as has often been observed) play any role in their proofs, but it does play a role, in that it fixes the grammar, the domain of meaningful propositions, and so determining the objects in the proofs. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: [compressed] This is part of a defence of abstractionism in Cantor and Dedekind (see K.Fine also on the subject). To know the members of a set, or size of a domain, you need to know the process or function which created the set. |
| 9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
| Full Idea: A different reading of abstraction is that it concerns, not the individuating properties of the elements relative to one another, but rather the individuating properties of the set itself, for example the concept of what is its extension. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], VIII) | |
| A reaction: If the set was 'objects in the room next door', we would not be able to abstract from the objects, but we might get to the idea of things being contain in things, or the concept of an object, or a room. Wrong. That's because they are objects... Hm. |
| 9972 | Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait] |
| Full Idea: Why should abstraction from two equipollent sets lead to the same set of 'pure units'? | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996]) | |
| A reaction: [Tait is criticising Cantor] This expresses rather better than Frege or Dummett the central problem with the abstractionist view of how numbers are derived from matching groups of objects. |
| 9980 | If abstraction produces power sets, their identity should imply identity of the originals [Tait] |
| Full Idea: If the power |A| is obtained by abstraction from set A, then if A is equipollent to set B, then |A| = |B|. But this does not imply that A = B. So |A| cannot just be A, taken in abstraction, unless that can identify distinct sets, ..or create new objects. | |
| From: William W. Tait (Frege versus Cantor and Dedekind [1996], V) | |
| A reaction: An elegant piece of argument, which shows rather crucial facts about abstraction. We are then obliged to ask how abstraction can create an object or a set, if the central activity of abstraction is just ignoring certain features. |
| 22155 | We are disenchanted because we rely on science, which ignores values [Weber, by Boulter] |
| Full Idea: Weber contends that modern western civilisation is 'disenchanted' because our society's method of arriving at beliefs about the world, that is, the sciences, is unable to address questions of value. | |
| From: report of Max Weber (works [1905]) by Stephen Boulter - Why Medieval Philosophy Matters 6 | |
| A reaction: This idea, made explicit by Hume's empirical attitude to values, is obviously of major importance. For we Aristotelians values are a self-evident aspect of nature. Boulter says philosophy has added to the disenchantment. I agree. |
| 20725 | The idea of duty in one's calling haunts us, like a lost religion [Weber] |
| Full Idea: The idea of duty in one's calling prowls about in our lives like the ghost of dead religious beliefs. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], 5) | |
| A reaction: Great sentence! Vast scholarship boiled down to a simple and disturbing truth. I recognise this in me. Having been 'Head of Philosophy' once is partly what motivates me to compile these ideas. |
| 21132 | Domination is probable obedience by some group of persons [Weber] |
| Full Idea: Domination is the probability that a command with a specific content will be obeyed by a given group of persons. | |
| From: Max Weber (Economy and Society [1919], p.53), quoted by Andrew Shorten - Contemporary Political Theory 06 | |
| A reaction: Said to be an 'influential definition'. In principle you might have no domination, but be regularly obeyed because your commands were so acceptable to a very independent-minded group of people. That said, good definition! |
| 20722 | Acquisition and low consumption lead to saving, investment, and increased wealth [Weber] |
| Full Idea: If people are acquisitive but consumption is limited, the inevitable result is the accumulation of capital through the compulsion to save. The restraints on consumption naturally served to increase wealth by enabling the productive investment of capital. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], 5) | |
| A reaction: [compressed. He also quotes John Wesley saying this] In a nutshell, this is how the protestant ethic (esp. if puritan) drives capitalism. It also needs everyone to have a 'calling', and a rebellion against monasticism in favour of worldly work. |
| 20724 | When asceticism emerged from the monasteries, it helped to drive the modern economy [Weber] |
| Full Idea: When asceticism was carried out of the monastic cells into everyday life, and began to dominate worldly morality, it did its part in building the tremendous cosmos of the modern economic order. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], 5) | |
| A reaction: Since Max Weber's time I should think this is less and less true. If you hunt for ascetics in the modern world, they are probably dropped out, and pursuing green politics. Industrialists are obsessed with property and wine. |
| 20717 | Capitalism is not unlimited greed, and may even be opposed to greed [Weber] |
| Full Idea: Unlimited greed for gain is not in the least identical with capitalism, and is still less in its spirit. Capitalism may even be identical with the restraint, or at least a rational tempering, of this irrational impulse. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], Author's Intro) | |
| A reaction: The point is that profits have to be re-invested, rather than spent on pleasure. If we are stuck with capitalism we need a theory of Ethical Capitalism. |
| 20718 | Modern western capitalism has free labour, business separate from household, and book-keeping [Weber] |
| Full Idea: The modern Occident has developed a very different form of capitalism: the rational capitalist organisation of free labour …which needed two other factors: the separation of the business from the household, and the closely connected rational book-keeping. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], Author's Intro) | |
| A reaction: For small businesses the separation has to be maintained by a ruthless effort of imagination. Book-keeping is because the measure of loss and profit is the engine of the whole game. Labour had to be dragged free of family and community. |
| 20719 | Punish the heretic, but be indulgent to the sinner [Weber] |
| Full Idea: The rule of the Catholic church is 'punishing the heretic, but indulgent of the sinner'. | |
| From: Max Weber (The Protestant Ethic and the Spirit of Capitalism [1904], 1) | |
| A reaction: Weber cites this as if it is a folklore saying. It seems to fit the teachings of Jesus, who is intensely keen on unwavering faith, but very kind to those who stray morally. Hence Graham Greene novels, all about sinners. |