| 9088 | Skill comes from a general assumption obtained from thinking about similar things [Aristotle] |
| Full Idea: A skill arises when from the many cases of thinking in experience a single general assumption is formed in connection with similar things. | |
| From: Aristotle (Metaphysics [c.324 BCE], 0981a04) | |
| A reaction: [He gives the administration of appropriate medicine as the example of a 'skill'] Note that it is 'thinking in' experience, rather than just the raw having of experiences. This is the intellectualist version of empirical abstractionism. I like it. |
| 16153 | Aristotle distinguishes two different sorts of generality - kinds, and properties [Aristotle, by Frede,M] |
| Full Idea: Aristotle counts as general not only properties but also the kinds, into which objects fall, i.e. the genera, species, and differentiae of substances; and these are to be differentiated strictly from properties. | |
| From: report of Aristotle (Metaphysics [c.324 BCE], kind) by Michael Frede - Individuals in Aristotle Intro | |
| A reaction: I take properties to be prior, since the kind of a thing is presumably decided by its properties. I'm increasingly thinking that 'general', 'generality' and 'generalisation' are far more useful words in philosophy than other words in that area. |
| 9068 | Perception creates primitive immediate principles by building a series of firm concepts [Aristotle] |
| Full Idea: Primitive immediate principles ...come about from perception - as in a battle, when a rout has occurred, first one man makes a stand, then another, and then another, until a position of strength is reached. | |
| From: Aristotle (Posterior Analytics [c.327 BCE], 100a12) | |
| A reaction: Philosophers don't create imagery like that any more. This empiricist account of how concepts and universals are created is part of a campaign against Plato's theory of forms. [Idea 9069 continues his idea] |
| 9069 | A perception lodging in the soul creates a primitive universal, which becomes generalised [Aristotle] |
| Full Idea: When one undifferentiated item in perception makes a stand, there is a primitive universal in the soul; for although you perceive particulars, perception is of universals - e.g. of man, not of Callias the man. One animal makes a stand, until animal does. | |
| From: Aristotle (Posterior Analytics [c.327 BCE], 100a15-) | |
| A reaction: This is the quintessential account of abstractionism, with the claim that primitive universals arise directly in perception, but only in repeated perception. How the soul does it is a mystery to Aristotle, just as associations are a mystery to Hume. |
| 18911 | Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen] |
| Full Idea: According to Aristotle, the terms of a language form a finite hierarchy, where the higher terms are predicable of more things than are lower terms. | |
| From: report of Aristotle (Prior Analytics [c.328 BCE]) by George Engelbretsen - Trees, Terms and Truth 3 | |
| A reaction: I would be a bit cautious about placing something precisely in a hierarchy according to how many things it can be predicated of. It is a start, though, in trying to give a decent account of generality, which is a major concept in philosophy. |
| 9093 | We understand the general nature of things by ignoring individual peculiarities [Aquinas] |
| Full Idea: If we think what defines a stone, man or horse, without thinking of any individual peculiarities it may have, this is precisely what we do when we abstract the general nature of what we understand from any particular way in which we imagine it. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1) | |
| A reaction: This may not be simple abstraction from sense experience, since there would obviously be a threatened circularity in the process. Do you need to know the essential definition first, in order to discard the individual peculiarities? |
| 9097 | The mind abstracts generalities from images, but also uses images for understanding [Aquinas] |
| Full Idea: Our mind both abstracts the species from images when it attends to the general nature of things, and understand the species in the images when it has recourse to the images in order to understand the things whose species it has abstracted. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1) | |
| A reaction: Geach claims that the second half of this idea means that Aquinas is not an abstractionist, but he seems to be explictly abstractionist about the way in which we create higher level concepts from lower ones. |
| 9095 | Very general ideas (being, oneness, potentiality) can be abstracted from thought matter in general [Aquinas] |
| Full Idea: There are even things we can abstract from thought matter in general, things like being and oneness and potentiality and realization. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.1) | |
| A reaction: The Aristotelian 'potentiality' means possibility, which means that modality is understood by abstraction. Aquinas seems to have four levels: particular perceived, general perceived, particular thought, and general thought. This is the highest level. |
| 9099 | Particular instances come first, and (pace Plato) generalisations are abstracted from them [Aquinas] |
| Full Idea: The generality attaching to a nature - its relatedness to many particular instances - results from abstraction, so in this sense a generalized nature presupposes its instances, and does not, as Plato thought, precede them. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Ch.5 Q85.2) | |
| A reaction: This seems to be a quite explicit endorsement of abstractionism by Aquinas, despite all Geach's assertions to the contrary. |
| 10508 | Species are abstracted from appearances by ignoring individual conditions [Aquinas] |
| Full Idea: The agent intellect abstracts intelligible species from phantasms insofar as through the power of the agent intellect we can take into our consideration the natures of the species without the individual conditions. | |
| From: Thomas Aquinas (Summa Theologicae [1265], Q85 Ad4) | |
| A reaction: There might be a threatened circularity here, in trying to decide which features to ignore and which to retain. If we saw a hundred horses with a white nose blaze, we still wouldn't be sure that this was essential to a horse. Innate notions of species?? |
| 12126 | People love (unfortunately) extreme generality, rather than particular knowledge [Bacon] |
| Full Idea: It is the nature of the mind of man (to the extreme prejudice of knowledge) to delight in the spacious liberty of generalities, as in a champaign region, and not in the inclosures of particularity. | |
| From: Francis Bacon (The Advancement of Learning [1605], II.VIII.1) | |
| A reaction: I have to plead guilty to this myself. He may have pinpointed the key motivation behind philosophy. We all want to know things, as Aristotle said, but some of us want the broad brush, and others want the fine detail. |
| 10501 | A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P] |
| Full Idea: If I draw an equilateral triangle on a piece of paper, ..I shall have an idea of only a single triangle. But if I ignore all the particular circumstances and focus on the three equal lines, I will be able to represent all equilateral triangles. | |
| From: Arnauld / Nicole (Logic (Port-Royal Art of Thinking) [1662], I.5) | |
| A reaction: [compressed] They observed that we grasp composites through their parts, and now that we can grasp generalisations through particulars, both achieved by the psychological act of abstraction, thus showing its epistemological power. |
| 9083 | The mind creates abstractions by generalising about appearances of objects, ignoring time or place [Locke] |
| Full Idea: The mind makes the particular ideas, received from particular objects, to become general,..by considering them as they are in the mind such appearances, separate from all other circumstances of real existence, as time or place. This is called ABSTRACTION. | |
| From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 2.09.09) | |
| A reaction: What is distinctive here is that abstraction works on 'appearances' within the mind (which might be labelled 'sense-data'), rather than on the actual properties of the objects. Presumably abstraction can work on inferred unobservable properties? |
| 7040 | General words represent general ideas, which are abstractions from immediate circumstances [Locke] |
| Full Idea: Words become general by being made the signs of general Ideas; and Ideas become general by separating them from circumstances of Time and Place and other ideas; by this way of abstraction they are made capable of representing more individuals than one. | |
| From: John Locke (Essay Conc Human Understanding (2nd Ed) [1694], 3.03.06) | |
| A reaction: Fodor says this is they key move for empiricism. You can dispense with platonic forms and pure universals, and simple show general concepts as a way the mind has of dealing with particulars, which are built from experiences. |
| 12951 | Abstraction attends to the general, not the particular, and involves universal truths [Leibniz] |
| Full Idea: Beasts recognise whiteness, but this does not amount to abstraction, which requires attention to the general apart from the particular, and consequently involves knowledge of universal truths. | |
| From: Gottfried Leibniz (New Essays on Human Understanding [1704], 2.11) | |
| A reaction: I'm not sure where 'truth' creeps into this. I might hallucinate pink elephants, and abstract the general notion of pink from them. Nevertheless, the features picked out in abstraction tend to be the shared features. |
| 19760 | General ideas are purely intellectual; imagining them is immediately particular [Rousseau] |
| Full Idea: Every general idea is purely intellectual. The least involvement of the imagination thereupon makes the idea particular. | |
| From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I) | |
| A reaction: This thought is in Berkeley, who seemed to think that general ideas were impossible, because imagination was always required. Rousseau is certainly an improvement on that. |
| 19759 | Only words can introduce general ideas into the mind [Rousseau] |
| Full Idea: General ideas can be introduced into the mind only with the aid of words. | |
| From: Jean-Jacques Rousseau (Discourse on the Origin of Inequality [1754], Part I) | |
| A reaction: Hm. How did humanity manage to invent general words. Do animals not have general thoughts, e.g. about food, shelter, predators? Roussea goes on to deny that monkeys see nuts as a 'type' of fruit. |
| 19242 | Generalization is the true end of life [Peirce] |
| Full Idea: Generalization, the spelling out of continuous systems, in thought, in sentiment, in deed, is the true end of life. | |
| From: Charles Sanders Peirce (Reasoning and the Logic of Things [1898], III) | |
| A reaction: I take understanding to be the true aim of life, and full grasp of particulars (e.g. of particular people) is as necessary as generalisation. This is still a very nice bold idea. |
| 19255 | Generalisation is the great law of mind [Peirce] |
| Full Idea: The generalising tendency is the great law of mind. | |
| From: Charles Sanders Peirce (Reasoning and the Logic of Things [1898], VII) | |
| A reaction: How else could a small and compact mind get a grip on a vast and diverse reality? This must even apply to inarticulate higher animals. |
| 18310 | The 'highest' concepts are the most general and empty concepts [Nietzsche] |
| Full Idea: The 'highest concepts' ...are the most general, the emptiest concepts, the last fumes of evaporating reality. | |
| From: Friedrich Nietzsche (Twilight of the Idols [1889], 2.4) | |
| A reaction: This could be seen as an attack on the aspirations of all of philosophy, which seeks general truths out of the chaos of experience. Should we shut up, then, and just be and do? |
| 21569 | It is good to generalise truths as much as possible [Russell] |
| Full Idea: It is a good thing to generalise any truth as much as possible. | |
| From: Bertrand Russell (Philosophical Implications of Mathematical logic [1911], p.289) | |
| A reaction: An interesting claim, which seems to have a similar status to Ockham's Razor. Its best justification is pragmatic, and concerns strategies for coping with a big messy world. Russell's defence is in 'as much as possible'. |
| 10732 | If concepts are just recognitional, then general judgements would be impossible [Geach] |
| Full Idea: If concepts were nothing but recognitional capacities, then it is unintelligible that I can judge that cats eat mice when neither of them are present. | |
| From: Peter Geach (Abstraction Reconsidered [1983], p.164) | |
| A reaction: Having observed the importance of recognition for the abstractionist (Idea 10731), he then seems to assume that there is nothing more to their concepts. Geach fails to grasp levels of abstraction, and cross-reference, and generalisation. |
| 18375 | General truths are a type of negative truth, saying there are no more ravens than black ones [Armstrong] |
| Full Idea: General truths are a species of negative truth, 'no more' truths, asserting that there are no more men than the mortal ones, no more ravens than the black ones. | |
| From: David M. Armstrong (Truth and Truthmakers [2004], 05.1) | |
| A reaction: He goes on to distinguish between 'absences' and 'limits' in this area. |
| 19169 | Predicates are a source of generality in sentences [Davidson] |
| Full Idea: Predicates introduce generality into sentences. | |
| From: Donald Davidson (Truth and Predication [2005], 7) | |
| A reaction: Not sure about this. Most words introduce generality. 'From' is a very general word about direction. 'Dogs bark' is as generally about dogs as it is generally about barking. |
| 15301 | The very concepts of a particular power or nature imply the possibility of being generalised [Harré/Madden] |
| Full Idea: The concepts of power, capacity and the nature of a particular involve generalisations and hence already presuppose that there are grounds for extrapolation. | |
| From: Harré,R./Madden,E.H. (Causal Powers [1975], 8.V) | |
| A reaction: I take sortal essentialism to be a serious misundertanding, but the mistake needs to be explained, and this idea is helpful towards that. I think the problem resides in the nature of the language we need to describe particulars. |
| 9330 | Generalization seems to be more fundamental to minds than spotting similarities [Lehrer] |
| Full Idea: There is a level of generalization we share with other animals in the responses to objects that suggest that generalization is a more fundamental operation of the mind than the observation of similarities. | |
| From: Keith Lehrer (Consciousness,Represn, and Knowledge [2006]) | |
| A reaction: He derives this from Reid (1785) - Lehrer's hero - who argued against Hume that we couldn't spot similarities if we hadn't already generalized to produce the 'respect' of the similarity. Interesting. I think Reid must be right. |
| 18266 | Mathematics generalises by using variables [Coffa] |
| Full Idea: The instrument of generality in mathematics is the variable. | |
| From: J. Alberto Coffa (The Semantic Tradition from Kant to Carnap [1991], 4 'The conc') | |
| A reaction: I like the idea that there are variables in ordinary speech, pronouns being the most obvious example. 'Cats' is a variable involving quantification over a domain of lovable fluffy mammals. |
| 9152 | If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K] |
| Full Idea: In traditional abstraction, the colour green merely has the intrinsic property of being green, other properties of things being abstracted away. But why should that be regarded as a type? It must be because the property is common to the instances. | |
| From: Kit Fine (Cantorian Abstraction: Recon. and Defence [1998], §5) | |
| A reaction: A nice question which shows that the much-derided single act of abstraction is not sufficient to arrive at a concept, so that abstraction is a more complex matter (perhaps even a rational one) than simple empiricists believe. |
| 18504 | Only particulars exist, and generality is our mode of presentation [Heil] |
| Full Idea: Existing things are particular, and generality is a feature of our ways of representing the universe. | |
| From: John Heil (The Universe as We Find It [2012], 01.1) | |
| A reaction: This is right, and expressed with beautiful simplicity. How could anyone disagree with this? But they do! |
| 17696 | 'Humility is a virtue' has an abstract noun, but 'water is a liquid' has a generic concrete noun [Laycock] |
| Full Idea: Work is needed to distinguish abstract nouns ...from the generic uses of what are otherwise concrete nouns. The contrast is that of 'humility is a virtue' and 'water is a liquid'. | |
| From: Henry Laycock (Words without Objects [2006], Intro 4 n25) | |
| A reaction: 'Work is needed' implies 'let me through, I'm an analytic philosopher', but I don't think they will separate very easily. What does 'watery' mean? Does water have concrete virtues? |
| 17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
| Full Idea: One type of generalisation in mathematics extends a system to go beyond what is was originally set up for; another kind involves abstracting away from some details in order to capture similarities between different systems. | |
| From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 5.2.2) |