Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Plato on Parts and Wholes' and 'Two Notions of Being: Entity and Essence'

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17 ideas

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 / F. Fallacies / 7. Ad Hominem
An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V]
     Full Idea: Judicious use of an opponent's assumptions is quite capable of producing a perfectly reasonable ad hominem refutation of the opponent's thesis.
     From: Verity Harte (Plato on Parts and Wholes [2002], 1.6)
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology began as a nominalist revolt against the commitments of set theory [Harte,V]
     Full Idea: Historically, the evolution of mereology was associated with the desire to find alternatives to set theory for those with nomimalist qualms about the commitment to abstract objects like sets.
     From: Verity Harte (Plato on Parts and Wholes [2002], 1.2)
     A reaction: Goodman, for example. It is interesting to note that the hardline nominalist Quine, pal of Goodman, eventually accepted set theory. It is difficult to account for things by merely naming their parts.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
     Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
     A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
     Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
     A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.
7. Existence / B. Change in Existence / 1. Nature of Change
Traditionally, the four elements are just what persists through change [Harte,V]
     Full Idea: Earth, air, fire and water, viewed as elements, are, by tradition, the leading candidates for being the things that persist through change.
     From: Verity Harte (Plato on Parts and Wholes [2002], 4.4)
     A reaction: Physics still offers us things that persist through change, as conservation laws.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
     Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)
We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
     Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
     From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)
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 / C. Structure of Objects / 6. Constitution of an Object
Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V]
     Full Idea: Mereologists do suppose that constitution is a criterion of identity. This view is enshrined in the Mereological axiom of extensionality; that objects with the same parts are identical.
     From: Verity Harte (Plato on Parts and Wholes [2002], 3.1)
     A reaction: A helpful explanation of why classical mereology is a very confused view of the world. It is at least obvious that a long wall and a house are different things, even if built of identical bricks.
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
     Full Idea: The difficulty with the claim that a whole is (just) the sum of its parts is what are we to understand by 'the sum'? ...If we say wholes are 'composites' of parts, how are we to understand the relation of composition?
     From: Verity Harte (Plato on Parts and Wholes [2002], 1.1)
If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
     Full Idea: Holism inherits all the difficulties associated with the term 'sum' and adds one of its own, when it says a whole is 'more than' the sum of its parts. This seems to say it has something extra? Is this something extra a part?
     From: Verity Harte (Plato on Parts and Wholes [2002], 1.1)
     A reaction: [compressed] Most people take the claim that a thing is more than the sum of its parts as metaphorical, I would think (except perhaps emergentists about the mind, and they are wrong).
The problem with the term 'sum' is that it is singular [Harte,V]
     Full Idea: For my money, the real problem with the term 'sum' is that it is singular.
     From: Verity Harte (Plato on Parts and Wholes [2002], 1.1)
     A reaction: Her point is that the surface grammar makes you accept a unity here, with no account of what unifies it, or even whether there is a unity. Does classical mereology have a concept (as the rest of us do) of 'disunity'?
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?