Combining Texts

All the ideas for 'The Gettier Problem', 'On the Heavens' and 'Ontological Categories'

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27 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
A very hungry man cannot choose between equidistant piles of food [Aristotle]
     Full Idea: The man who, though exceedingly hungry and thirsty, and both equally, yet being equidistant from food and drink, is therefore bound to stay where he is.
     From: Aristotle (On the Heavens [c.336 BCE], 296b33)
     A reaction: This is, of course, Buridan's famous Ass, but this quotation has the advantage of precedence, and also of being expressed in an original quotation (which does not exist for Buridan).
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
We negate predicates but do not negate names [Westerhoff]
     Full Idea: We negate predicates but do not negate names.
     From: Jan Westerhoff (Ontological Categories [2005], §88)
     A reaction: This is a point for anyone like Ramsey who wants to collapse the distinction between particulars and universals, or singular terms and their predicates.
7. Existence / E. Categories / 1. Categories
Categories can be ordered by both containment and generality [Westerhoff]
     Full Idea: Categories are usually not assumed to be ordered by containment, but also be generality.
     From: Jan Westerhoff (Ontological Categories [2005], §02)
     A reaction: I much prefer generality, which is responsive to the full picture, whereas containment seems to appeal too much to the orderly and formalised mind. Containments overlap, so we can't dream of a perfectly neat system.
How far down before we are too specialised to have a category? [Westerhoff]
     Full Idea: How far down are we allowed to go before the categories become too special to qualify as ontological categories?
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: A very nice question, because we can't deny a category to a set with only one member, otherwise the last surviving dodo would not have been a dodo.
Maybe objects in the same category have the same criteria of identity [Westerhoff]
     Full Idea: There is an idea that objects belonging to the same category have the same criteria of identity. This view was first explicitly endorsed by Frege (1884), and was later systematized by Dummett (1981).
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: This approach is based on identity between equivalence classes. Westerhoff says it means, implausibly, that the resulting categories cannot share properties.
Categories are base-sets which are used to construct states of affairs [Westerhoff]
     Full Idea: My fundamental idea is that 'form-sets' are intersubstitutable constituents of states of affairs with the same form, and 'base-sets' are special form-sets which can be used to construct other form-sets. Ontological categories are the base-sets.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: The spirit of this is, of course, to try to achieve the kind of rigour that is expected in contemporary professional philosophy, by aiming for some sort of axiom-system that is related to a well established precise discipline like set theory. Maybe.
Categories are held to explain why some substitutions give falsehood, and others meaninglessness [Westerhoff]
     Full Idea: It is usually assumed of ontological categories that they can explain why certain substitutions make a statement false ('prime' for 'odd'), while others make it meaningless ('sweet' for 'odd', of numbers).
     From: Jan Westerhoff (Ontological Categories [2005], §05)
     A reaction: So there is a strong link between big ontological questions, and Ryle's famous identification of the 'category mistake'. The phenomenon of the category mistake is undeniable, and should make us sympathetic to the idea of categories.
Categories systematize our intuitions about generality, substitutability, and identity [Westerhoff]
     Full Idea: Systems of ontological categories are systematizations of our intuitions about generality, intersubstitutability, and identity.
     From: Jan Westerhoff (Ontological Categories [2005], §23)
     A reaction: I think we might be able to concede this without conceding the relativism about categories which Westerhoff espouses. I would claim that our 'intuitions' are pretty accurate about the joints of nature, and hence accurate about these criteria.
Categories as generalities don't give a criterion for a low-level cut-off point [Westerhoff]
     Full Idea: Categories in terms of generality, dependence and containment are unsatisfactory because of the 'cut-off point problem': they don't give an account of how far down the order we can go and be sure we are still dealing with categories.
     From: Jan Westerhoff (Ontological Categories [2005], §27)
     A reaction: I don't see why this should be a devastating objection to any theory. I have a very clear notion of a human being, but a very hazy notion of how far back towards its conception a human being extends.
7. Existence / E. Categories / 2. Categorisation
The aim is that everything should belong in some ontological category or other [Westerhoff]
     Full Idea: It seems to be one of the central points of constructing systems of ontological categories that everything can be placed in some category or other.
     From: Jan Westerhoff (Ontological Categories [2005], §49)
     A reaction: After initial resistance to this, I suppose I have to give in. The phoenix (a unique mythological bird) is called a 'phoenix', though it might just be called 'John' (cf. God). If there were another phoenix, we would know how to categorise it.
7. Existence / E. Categories / 3. Proposed Categories
All systems have properties and relations, and most have individuals, abstracta, sets and events [Westerhoff]
     Full Idea: Surveyed ontological systems show overlaps: properties and relations turn up in every system; individuals form part of five systems; abstracta, collections/sets and events are in four; facts are in two.
     From: Jan Westerhoff (Ontological Categories [2005], §02)
     A reaction: Westerhoff is a hero for doing such a useful survey. Of course, Quine challenges properties, and relations are commonly given a reductive analysis. Individuals can be challenged, and abstracta reduced. Sets are fictions. Events or facts? Etc.
7. Existence / E. Categories / 5. Category Anti-Realism
Ontological categories are like formal axioms, not unique and with necessary membership [Westerhoff]
     Full Idea: I deny the absolutism of a unique system of ontological categories and the essentialist view of membership in ontological categories as necessary features. ...I regard ontological categories as similar to axioms of formalized theories.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: The point is that modern axioms are not fundamental self-evident truths, but an economic set of basic statements from which some system can be derived. There may be no unique set of axioms for a formal system.
Categories merely systematise, and are not intrinsic to objects [Westerhoff]
     Full Idea: My conclusion is that categories are relativistic, used for systematization, and that it is not an intrinsic feature of an object to belong to a category, and that there is no fundamental distinction between individuals and properties.
     From: Jan Westerhoff (Ontological Categories [2005], Intro)
     A reaction: [compressed] He calls his second conclusion 'anti-essentialist', but I think we can still get an account of (explanatory) essence while agreeing with his relativised view of categories. Wiggins might be his main opponent.
A thing's ontological category depends on what else exists, so it is contingent [Westerhoff]
     Full Idea: What ontological category a thing belongs to is not dependent on its inner nature, but dependent on what other things there are in the world, and this is a contingent matter.
     From: Jan Westerhoff (Ontological Categories [2005], §89)
     A reaction: This is aimed at those, like Wiggins, who claim that category is essential to a thing, and there is no possible world in which that things could belong to another category. Sounds good, till you try to come up with examples.
9. Objects / D. Essence of Objects / 5. Essence as Kind
Essential kinds may be too specific to provide ontological categories [Westerhoff]
     Full Idea: Essential kinds can be very specific, and arguably too specific for the purposes of ontological categories.
     From: Jan Westerhoff (Ontological Categories [2005], §27)
     A reaction: Interesting. There doesn't seem to be any precise guideline as to how specific an essential kind might be. In scientific essentialism, each of the isotopes of tin has a distinct essence, but why should they not be categories
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
     Full Idea: A Gettier case contains a belief which is true and well justified without being knowledge. Its justificatory support is also fallible, ...and there is considerable luck in how the belief combnes being true with being justified.
     From: Stephen Hetherington (The Gettier Problem [2011], 5)
     A reaction: This makes luck the key factor. 'Luck' is a rather vague concept, and so the sort of luck involved must first be spelled out. Or the varieties of luck that can produce this outcome.
22. Metaethics / B. Value / 2. Values / b. Successful function
Each thing that has a function is for the sake of that function [Aristotle]
     Full Idea: Each thing that has a function is for the sake of that function.
     From: Aristotle (On the Heavens [c.336 BCE], 286a08)
     A reaction: This is the central idea of Aristotle's Ethics. Did it originate with Plato, or Socrates, the young pupil Aristotle? I suspect the strong influence of Aristotle on later Plato. A major idea. Functions link the facts to life.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
An unworn sandal is in vain, but nothing in nature is in vain [Aristotle]
     Full Idea: We say of a sandal which is not worn that it is in vain; God and nature, however, do nothing in vain.
     From: Aristotle (On the Heavens [c.336 BCE], 271a33)
There has to be some goal, and not just movement to infinity [Aristotle]
     Full Idea: There has to be some goal, and not just movement to infinity.
     From: Aristotle (On the Heavens [c.336 BCE], 277a26)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Aether moves in circles and is imperishable; the four elements perish, and move in straight lines [Aristotle, by Gill,ML]
     Full Idea: For Aristotle, aether and the four sublunary elements obey different physical laws. Aether moves naturally in a circle and, unlike its lower counterparts, is not a source of perishability. The four sublunary elements move naturally in straight lines.
     From: report of Aristotle (On the Heavens [c.336 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.2
     A reaction: I think it is anachronistic for Gill to talk of 'obeying' and 'laws'. She should have said that they have different 'natures'. We can be amused by Greek errors, until we stare hard at the problems they were trying to solve.
An element is what bodies are analysed into, and won't itself divide into something else [Aristotle]
     Full Idea: An element is a body into which other bodies may be analyzed, present in them potentially or in actuality (which of these is still disputable), and not itself divisible into bodies different in form. That is what all men mean by element.
     From: Aristotle (On the Heavens [c.336 BCE], 302a05), quoted by Weisberg/Needham/Hendry - Philosophy of Chemistry 1.1
     A reaction: This is the classic definition of an element, which endured for a long time, and has been replaced by an 'actual components' view. Obviously analysis nowadays goes well beyond the atoms.
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
If the more you raise some earth the faster it moves, why does the whole earth not move? [Aristotle]
     Full Idea: If you raise some earth and release it, it moves and won't stay put, and the more you raise it the faster it moves, so why does the whole earth not move?
     From: Aristotle (On the Heavens [c.336 BCE], 294a12)
27. Natural Reality / C. Space / 1. Void
Void is a kind of place, so it can't explain place [Aristotle]
     Full Idea: It is absurd to explain place by the void, as though this latter were not itself some kind of place.
     From: Aristotle (On the Heavens [c.336 BCE], 309b24)
     A reaction: Presumably this is aimed at Democritus.
27. Natural Reality / E. Cosmology / 1. Cosmology
The Earth must be spherical, because it casts a convex shadow on the moon [Aristotle]
     Full Idea: A lunar eclipse always has a convex dividing line, so, if it is eclipsed by the interposition of the earth, the circumference of the earth, being spherical, is responsible for the shape.
     From: Aristotle (On the Heavens [c.336 BCE], 297b29)
The earth must be round and of limited size, because moving north or south makes different stars visible [Aristotle]
     Full Idea: Clearly the earth is round and not of great size, because when we move north or south we find that very different stars are visible.
     From: Aristotle (On the Heavens [c.336 BCE], 297b30)
27. Natural Reality / E. Cosmology / 3. The Beginning
Everyone agrees that the world had a beginning, but thinkers disagree over whether it will end [Aristotle]
     Full Idea: All thinkers agree that the world had a beginning, but some claim that, having come into existence, it is everlasting.
     From: Aristotle (On the Heavens [c.336 BCE], 279b12)
27. Natural Reality / E. Cosmology / 10. Multiverse
It seems possible that there exists a limited number of other worlds apart from this one [Aristotle]
     Full Idea: One might indeed be puzzled whether, just as the world about us exists, nothing prevents there being others as well, certainly more than one, though not an unlimited number
     From: Aristotle (On the Heavens [c.336 BCE], 274a26)