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All the ideas for 'Two Notions of Being: Entity and Essence', 'Laughter' and 'Russell's Metaphysical Logic'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 8. Humour
Amusement rests on superiority, or relief, or incongruity [Scruton]
     Full Idea: There are three common accounts of amusement: superiority theories (Hobbes's 'sudden glory'), 'relief from restraint' (Freud on jokes), and 'incongruity' theories (Schopenhauer).
     From: Roger Scruton (Laughter [1982], §5)
     A reaction: All three contain some truth. But one need not feel superior to laugh, and one may already be in a state of unrestraint. Schopenhauer seems closest to a good general account.
The central object of amusement is the human [Scruton]
     Full Idea: There are amusing buildings, but not amusing rocks and cliffs. If I were to propose a candidate for the formal object of amusement, then the human would be my choice, ...or at least emphasise its centrality.
     From: Roger Scruton (Laughter [1982], §9)
     A reaction: Sounds good. Animal behaviour only seems to amuse if it evokes something human. Plants would have to look a bit human to be funny.
Since only men laugh, it seems to be an attribute of reason [Scruton]
     Full Idea: Man is the only animal that laughs, so a starting point for all enquiries into laughter must be the hypothesis that it is an attribute of reason (though that gets us no further than our definition of reason).
     From: Roger Scruton (Laughter [1982], §1)
     A reaction: I would be inclined to say that both our capacity for reason and our capacity for laughter (and, indeed, our capacity for language) are a consequence of our evolved capacity for meta-thought.
Objects of amusement do not have to be real [Scruton]
     Full Idea: It is a matter of indifference whether the object of amusement be thought to be real.
     From: Roger Scruton (Laughter [1982], §7)
     A reaction: Sort of. If I say 'wouldn't it be funny if someone did x?', it is probably much less funny than if I say 'apparently he really did x'. The fantasy case has to be much funnier to evoke the laughter.
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims to identify categories of being, and show their interdependency [Lowe]
     Full Idea: The central task of metaphysics is to chart the possibilities of existence by identifying the categories of being and the relations of ontological dependency in which beings of different categories stand to one another.
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], Intro)
     A reaction: I am beginning to think that he is right about the second one, and that dependency and grounding relations are the name of the game. I don't have Lowe's confidence that philosophers can parcel up reality in neat and true ways.
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Philosophy aims not at the 'analysis of concepts', but at understanding the essences of things [Lowe]
     Full Idea: The central task of philosophy is the cultivation of insights into natures or essences, and not the 'analysis of concepts', with which it is apt to be confused.
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], 1)
     A reaction: This immediately strikes me as a false dichotomy. I like the idea of trying to understand the true natures of things, but how are we going to do it in our armchairs?
2. Reason / D. Definition / 8. Impredicative Definition
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
     Full Idea: The ban on 'impredicative' definitions says you can't define a class in terms of a totality to which that class must be seen as belonging.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1)
     A reaction: So that would be defining 'citizen' in terms of the community to which the citizen belongs? If you are asked to define 'community' and 'citizen' together, where do you start? But how else can it be done? Russell's Reducibility aimed to block this.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
     Full Idea: The Axiom of Reducibility avoids impredicativity, by asserting that for any predicate of given arguments defined by quantifying over higher-order functions or classes, there is another co-extensive but predicative function of the same type of arguments.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1)
     A reaction: Eventually the axiom seemed too arbitrary, and was dropped. Linsky's book explores it.
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
     Full Idea: The theory of definite descriptions may eliminate apparent commitment to such entities as the present King of France, but certainly not to the present Queen of England.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.3)
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
     Full Idea: With the principle of extensionality anything true of one propositional functions will be true of every coextensive one.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.3)
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
     Full Idea: The problem for logicism was to find definitions of the primitive notions of Peano's theory, number, successor and 0, in terms of logical notions, so that the postulates could then be derived by logic alone.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7)
     A reaction: Both Frege and Russell defined numbers as equivalence classes. Successor is easily defined (in various ways) in set theory. An impossible set can exemplify zero. The trouble for logicism is this all relies on sets.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
     Full Idea: The higher types are needed for intensional phenomena, cases where the same class is picked out by distinct propositional functions.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.4)
     A reaction: I take it that in this way 'x is renate' can be distinguished from 'x is cordate', a task nowadays performed by possible worlds.
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
     Full Idea: The types is 'ramified' because there are further differences between the type of a function defined in terms of a quantifier ranging over other functions and the type of those other functions, despite the functions applying to the same simple type.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 1)
     A reaction: Not sure I understand this, but it evidently created difficulties for dealing with actual mathematics, and Ramsey showed how you could manage without the ramifications.
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
     Full Idea: The original ramified theory of types ...furthern subdivides each of the types of the 'simple' theory according to the range of the bound variables used in the definition of each propositional function.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6)
     A reaction: For a non-intiate like me it certainly sounds disappointing that such a bold and neat theory because a tangle of complications. Ramsey and Russell in the 1920s seem to have dropped the ramifications.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
     Full Idea: It is often thought that Logicism was a failure, because after Frege's contradiction, Russell required obviously nonlogical principles, in order to develop mathematics. The axioms of Reducibility, Infinity and Choice are cited.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6)
     A reaction: Infinity and Choice remain as axioms of the standard ZFC system of set theory, which is why set theory is always assumed to be 'up to its neck' in ontological commitments. Linsky argues that Russell saw ontology in logic.
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
     Full Idea: ZF set theory is seen as a rival to logicism as a foundational scheme. Set theory is for those who have given up the project of reducing mathematics to logic.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 6.1)
     A reaction: Presumably there are other rivals. Set theory has lots of ontological commitments. One could start at the other end, and investigate the basic ontological commitments of arithmetic. I have no idea what those might be.
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
     Full Idea: Rather than directly constructing properties as sets of objects and proving neat facts about properties by proxy, we can assert biconditionals, such as that an object has a property if and only if it is in a certain set.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.6)
     A reaction: Linsky is describing Russell's method of logical construction. I'm not clear what is gained by this move, but at least it is a variant of the usual irritating expression of properties as sets of objects.
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
Holes, shadows and spots of light can coincide without being identical [Lowe]
     Full Idea: Holes are things of such a kind that they can coincide without being identical - as are, for example, shadows and spots of light.
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], 1)
     A reaction: His point is that they thereby fail one of the standard tests for being an 'object'.
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
All things must have an essence (a 'what it is'), or we would be unable to think about them [Lowe]
     Full Idea: Things must have an essence, in the sense of 'what it is to be the individual of that kind', or it would make no sense to say we can talk or think comprehendingly about things at all. If we don't know what it is, how can we think about it?
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], 2)
     A reaction: Lowe presents this as a sort of Master Argument for essences. I think he is working with the wrong notion of essence. All he means is that things must have identities to be objects of thought. Why equate identity with essence, and waste a good concept?
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Knowing an essence is just knowing what the thing is, not knowing some further thing [Lowe]
     Full Idea: To know something's essence is not to be acquainted with some further thing of a special kind, but simply to understand what exactly that thing is.
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], 2)
     A reaction: I think he is wrong about this, or at least is working with an unhelpful notion of essence. Identity is one thing, and essence is another. I take essences to be certain selected features of things, which explain their nature.
9. Objects / F. Identity among Objects / 4. Type Identity
Each thing has to be of a general kind, because it belongs to some category [Lowe]
     Full Idea: Any individual thing must be a thing of some general kind - because, at the very least, it must belong to some ontological category.
     From: E.J. Lowe (Two Notions of Being: Entity and Essence [2008], 2)
     A reaction: Where does the law that 'everything must have a category' come from? I'm baffled by remarks of this kind. Where do we get the categories from? From observing the individuals. So which has priority? Not the categories. Is God a kind?
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Only rational beings are attentive without motive or concern [Scruton]
     Full Idea: It is only rational beings who can be attentive without a motive; only rational beings who can be interested in that in which they have no interest.
     From: Roger Scruton (Laughter [1982], §12)
     A reaction: Rational beings make long term plans, so they cannot prejudge which things may turn out to be of interest to them. Scruton (a Kantian) makes it sound a little loftier than it actually is.