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All the ideas for 'Natural Kinds', 'talk' and 'Mathematical Methods in Philosophy'

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48 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is continuous with science, and has no external vantage point [Quine]
     Full Idea: I see philosophy not as an a priori propaedeutic or groundwork for science, but as continuous with science. I see philosophy and science as in the same boat. …There is no external vantage point, no first philosophy.
     From: Willard Quine (Natural Kinds [1969], p.126)
     A reaction: Philosophy is generalisation. Science holds the upper hand, because it settles the subject-matter to be generalised.
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
F(x) walked into a bar. The barman said.. [Sommers,W]
     Full Idea: F(x) walked into a bar. The barman said, 'Sorry, we don't cater for functions'.
     From: Will Sommers (talk [2019])
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
Klein summarised geometry as grouped together by transformations [Quine]
     Full Idea: Felix Klein's so-called 'Erlangerprogramm' in geometry involved characterizing the various branches of geometry by what transformations were irrelevant to each.
     From: Willard Quine (Natural Kinds [1969], p.137)
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Sartre to Waitress: Coffee with no cream, please... [Sommers,W]
     Full Idea: Sartre to Waitress: Coffee with no cream, please. Waitress: Sorry, we're out of cream; would no milk do?
     From: Will Sommers (talk [2019])
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
Mass terms just concern spread, but other terms involve both spread and individuation [Quine]
     Full Idea: 'Yellow' and 'water' are mass terms, concerned only with spread; 'apple' and 'square' are terms of divided reference, concerned with both spread and individuation.
     From: Willard Quine (Natural Kinds [1969], p.124)
     A reaction: Would you like some apple? Pass me that water. It is helpful to see that it is a requirement of 'individuation' that is missing from terms for stuff.
7. Existence / D. Theories of Reality / 4. Anti-realism
Said Plato: 'The things that we feel... [Sommers,W]
     Full Idea: Said Plato: 'The things that we feel/ Are not ontologically real,/ But just the excrescence/ Of numinous essence/ Our senses can never reveal.' [Basil Ransome-Davis]
     From: Will Sommers (talk [2019])
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Once we know the mechanism of a disposition, we can eliminate 'similarity' [Quine]
     Full Idea: Once we can legitimize a disposition term by defining the relevant similarity standard, we are apt to know the mechanism of the disposition, and so by-pass the similarity.
     From: Willard Quine (Natural Kinds [1969], p.135)
     A reaction: I love mechanisms, but can we characterise mechanisms without mentioning powers and dispositions? Quine's dream is to eliminate 'similarity'.
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
We judge things to be soluble if they are the same kind as, or similar to, things that do dissolve [Quine]
     Full Idea: Intuitively, what qualifies a thing as soluble though it never gets into water is that it is of the same kind as the things that actually did or will dissolve; it is similar to them.
     From: Willard Quine (Natural Kinds [1969], p.130)
     A reaction: If you can judge that the similar things 'will' dissolve, you can cut to the chase and judge that this thing will dissolve.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
Barman to Descartes: Would you like another drink?... [Sommers,W]
     Full Idea: Barman to Descartes: Would you like another drink? Descartes: I think not (...and promptly vanishes)
     From: Will Sommers (talk [2019])
There was a young student called Fred... [Sommers,W]
     Full Idea: There was a young student called Fred,/ Who was questioned on Descartes and said:/ 'It's perfectly clear/ That I'm not really here,/ For I haven't a thought in my head.' [V.R. Ormerod]
     From: Will Sommers (talk [2019])
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
A philosopher and his wife are out for a drive... [Sommers,W]
     Full Idea: A philosopher and his wife are out for a drive in the country. 'Oh look!' she says, 'Those sheep have been shorn.' 'Yes', says the philosopher, 'on this side'.
     From: Will Sommers (talk [2019])
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / c. Empirical idealism
Dear Sir, Your astonishment's odd.... [Sommers,W]
     Full Idea: (reply to 12403) Dear Sir, Your astonishment's odd:/ I am always about in the Quad./ And that's why the tree/ Will continue to be,/ Since observed by Yours faithfully, God.' [anon]
     From: Will Sommers (talk [2019])
There once was a man who said: 'God... [Sommers,W]
     Full Idea: There once was a man who said: 'God/ Must think it exceedingly odd/ If he finds that this tree/ Continues to be,/ When there's no-one about in the Quad.' [Ronald Knox] (reply in 12404)
     From: Will Sommers (talk [2019])
..But if he's a student of Berkeley... [Sommers,W]
     Full Idea: (continued from 12401) ..But if he's a student of Berkeley,/ One thing will emerge, rather starkly,/ That he ought to believe/ What his senses perceive,/ No matter how dimly or darkly. [Leslie Johnson]
     From: Will Sommers (talk [2019])
The philosopher Berkeley once said.. [Sommers,W]
     Full Idea: The philosopher Berkeley once said/ In the dark to a maid in his bed:/ 'No perception, my dear,/ Means I'm not really here,/ But only a thought in your head.' [P.W.R. Foot]
     From: Will Sommers (talk [2019])
12. Knowledge Sources / B. Perception / 1. Perception
"My dog's got synaesthesia." How does he smell? ..... [Sommers,W]
     Full Idea: "My dog's got synaesthesia." How does he smell? "Purple."
     From: Will Sommers (talk [2019])
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
A toper who spies in the distance... [Sommers,W]
     Full Idea: A toper who spies in the distance,/ Striped tigers, will get some assistance/ From reading Descartes,/ Who holds that it's part/ Of his duty to doubt their existence. ... [Leslie Johnson] - (continued in 12402)
     From: Will Sommers (talk [2019])
14. Science / A. Basis of Science / 3. Experiment
Science is common sense, with a sophisticated method [Quine]
     Full Idea: Sciences differ from common sense only in the degree of methodological sophistication.
     From: Willard Quine (Natural Kinds [1969], p.129)
     A reaction: Science is normal thinking about the world, but it is teamwork, with the bar set very high.
14. Science / C. Induction / 1. Induction
Induction is just more of the same: animal expectations [Quine]
     Full Idea: Induction is essentially only more of the same: animal expectation or habit formation.
     From: Willard Quine (Natural Kinds [1969], p.125)
     A reaction: My working definition of induction is 'learning from experience', but that doesn't disagree with Quine. Lipton has a richer account of different types of induction. Quine's point is that it rests on resemblance.
Induction relies on similar effects following from each cause [Quine]
     Full Idea: Induction expresses our hopes that similar causes will have similar effects.
     From: Willard Quine (Natural Kinds [1969], p.125)
     A reaction: Some top philosophers are also top teachers, and Quine was one of them, in his writings. He boils it down for the layman. Once again, he is pointing to the fundamental role of the similarity relation.
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Grue is a puzzle because the notions of similarity and kind are dubious in science [Quine]
     Full Idea: What makes Goodman's example a puzzle is the dubious scientific standing of a general notion of similarity, or of kind.
     From: Willard Quine (Natural Kinds [1969], p.116)
     A reaction: Illuminating. It might be best expressed as revealing a problem with sortal terms, as employed by Geach, or by Wiggins. Grue is a bit silly, but sortals are subject to convention and culture. 'Natural' properties seem needed.
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Similarity is just interchangeability in the cosmic machine [Quine]
     Full Idea: Things are similar to the extent that they are interchangeable parts of the cosmic machine.
     From: Willard Quine (Natural Kinds [1969], p.134)
     A reaction: This is a major idea for Quine, because it is a means to gradually eliminate the fuzzy ideas of 'resemblance' or 'similarity' or 'natural kind' from science. I love it! Two tigers are same insofar as they are substitutable.
General terms depend on similarities among things [Quine]
     Full Idea: The usual general term, whether a common noun or a verb or an adjective, owes its generality to some resemblance among the things referred to.
     From: Willard Quine (Natural Kinds [1969], p.116)
     A reaction: Quine has a nice analysis of the basic role of similarity in a huge amount of supposedly strict scientific thought.
To learn yellow by observation, must we be told to look at the colour? [Quine]
     Full Idea: According to the 'respects' view, our learning of yellow by ostension would have depended on our first having been told or somehow apprised that it was going to be a question of color.
     From: Willard Quine (Natural Kinds [1969], p.122)
     A reaction: Quine suggests there is just one notion of similarity, and respects can be 'abstracted' afterwards. Even the ontologically ruthless Quine admits psychological abstraction!
Standards of similarity are innate, and the spacing of qualities such as colours can be mapped [Quine]
     Full Idea: A standard of similarity is in some sense innate. The spacing of qualities (such as red, pink and blue) can be explored and mapped in the laboratory by experiments. They are needed for all learning.
     From: Willard Quine (Natural Kinds [1969], p.123)
     A reaction: This reasserts Hume's original point in more scientific terms. It is one of the undeniable facts about our perceptions of qualities and properties, no matter how platonist your view of universals may be.
16. Persons / F. Free Will / 6. Determinism / a. Determinism
There once was a man who said 'Damn!... [Sommers,W]
     Full Idea: There once was a man who said 'Damn!/ It is borne in upon me I am/ An engine that moves/ In predestinate grooves:/ I'm not even a bus, I'm a tram.' [M.E. Hare]
     From: Will Sommers (talk [2019])
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
How do behaviourists greet each other? [Sommers,W]
     Full Idea: How do behaviourists greet each other? Hi - you're fine, how am I?
     From: Will Sommers (talk [2019])
19. Language / C. Assigning Meanings / 3. Predicates
Projectible predicates can be universalised about the kind to which they refer [Quine]
     Full Idea: 'Projectible' predicates are predicates F and G whose shared instances all do count, for whatever reason, towards confirmation of 'All F are G'. ….A projectible predicate is one that is true of all and only the things of a kind.
     From: Willard Quine (Natural Kinds [1969], p.115-6)
     A reaction: Both Quine and Goodman are infuriatingly brief about the introduction of this concept. 'Red' is true of all ripe tomatoes, but not 'only' of them. Hardly any predicates are true only of one kind. Is that a scholastic 'proprium'?
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
'If you're aristocratic,' said Nietzsche... [Sommers,W]
     Full Idea: 'If you're aristocratic,' said Nietzsche,/ 'It's thumbs up, you're OK. Pleased to mietzsche./ If you're working-class bores,/ It's thumbs down and up yours!/ If you don't know your place, then I'll tietzsche.' [Gerry Hamill]
     From: Will Sommers (talk [2019])
24. Political Theory / D. Ideologies / 2. Anarchism
Why do anarchists drink herbal tea? [Sommers,W]
     Full Idea: Why do anarchists drink herbal tea? Because proper tea is theft.
     From: Will Sommers (talk [2019])
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Quine probably regrets natural kinds now being treated as essences [Quine, by Dennett]
     Full Idea: The concept of natural kinds was reintroduced by Quine, who may now regret the way it has become a stand-in for the dubious but covertly popular concept of essences.
     From: report of Willard Quine (Natural Kinds [1969]) by Daniel C. Dennett - Consciousness Explained 12.2 n2
     A reaction: He is right that Quine would regret it, and he is right that we can't assume that there are necessary essences just because there seem to be stable natural kinds, but personally I am an essentialist, so I'm not that bothered.
If similarity has no degrees, kinds cannot be contained within one another [Quine]
     Full Idea: If similarity has no degrees there is no containing of kinds within broader kinds. If colored things are a kind, they are similar, but red things are too narrow for a kind. If red things are a kind, colored things are not similar, and it's too broad.
     From: Willard Quine (Natural Kinds [1969], p.118)
     A reaction: [compressed] I'm on Quine's side with this. We glibly talk of 'kinds', but the criteria for sorting things into kinds seems to be a mess. Quine goes on to offer a better account than the (diadic, yes-no) one rejected here.
Comparative similarity allows the kind 'colored' to contain the kind 'red' [Quine]
     Full Idea: With the triadic relation of comparative similarity, kinds can contain one another, as well as overlapping. Red and colored things can both count as kinds. Colored things all resemble one another, even though less than red things do.
     From: Willard Quine (Natural Kinds [1969], p.119)
     A reaction: [compressed] Quine claims that comparative similarity is necessary for kinds - that there be some 'foil' in a similarity - that A is more like C than B is.
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
You can't base kinds just on resemblance, because chains of resemblance are a muddle [Quine]
     Full Idea: If kinds are based on similarity, this has the Imperfect Community problem. Red round, red wooden and round wooden things all resemble one another somehow. There may be nothing outside the set resembling them, so it meets the definition of kind.
     From: Willard Quine (Natural Kinds [1969], p.120)
     A reaction: [ref. to Goodman 'Structure' 2nd 163- , which attacks Carnap on this] This suggests an invocation of Wittgenstein's family resemblance, which won't be much help for natural kinds.
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation - we all thought we knew it/ Till Hume came along and saw through it/…. [Sommers,W]
     Full Idea: Causation - we all thought we knew it / Till Hume came along and saw through it / We notice that A / Follows B every day / And frankly that's all there is to it.
     From: Will Sommers (talk [2019])
Cries the maid: 'You must marry me Hume!'... [Sommers,W]
     Full Idea: Cries the maid: 'You must marry me Hume!'/ A statement that made David fume./ He said: 'In cause and effect,/ There is a defect;/ That it's mine you can only assume.' [P.W.R. Foot]
     From: Will Sommers (talk [2019])
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
It is hard to see how regularities could be explained [Quine]
     Full Idea: Why there have been regularities is an obscure question, for it is hard to see what would count as an answer.
     From: Willard Quine (Natural Kinds [1969], p.126)
     A reaction: This is the standard pessimism of the 20th century Humeans, but it strikes me as comparable to the pessimism about science found in Locke and Hume. Regularities are explained all the time by scientists, though the lowest level may be hopeless.
27. Natural Reality / D. Time / 1. Nature of Time / c. Idealist time
The barman called 'Time!', and Augustine said..... [Sommers,W]
     Full Idea: The barman called 'Time!'. Augustine: 'I don't know what you mean, though I did before you said that'.
     From: Will Sommers (talk [2019])
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
The past, present and future walked into a bar.... [Sommers,W]
     Full Idea: The past, present and future walked into a bar. It was tense.
     From: Will Sommers (talk [2019])