Combining Texts

All the ideas for 'Two Notions of Being: Entity and Essence', 'An Axiomatization of Set Theory' and 'Letter to Clerk Maxwell'

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9 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?
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
     Full Idea: Von Neumann's Limitation of Size axiom is not self-evident, and he himself admitted that it seemed too strong.
     From: comment on John von Neumann (An Axiomatization of Set Theory [1925]) by Shaughan Lavine - Understanding the Infinite VII.1
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
     Full Idea: There is no axiom system for mathematics, geometry, and so forth that does not presuppose set theory.
     From: John von Neumann (An Axiomatization of Set Theory [1925]), quoted by Stewart Shapiro - Foundations without Foundationalism 8.2
     A reaction: Von Neumann was doubting whether set theory could have axioms, and hence the whole project is doomed, and we face relativism about such things. His ally was Skolem in this.
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?
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
By 'force' I mean the sources of all actions - sometimes called 'powers' by their outcomes [Breheny]
     Full Idea: I mean by the word 'force' the source or sources of all possible actions of the particles or materials of the universe: these being often called the powers of nature when spoken of in relation to the different manners in which their effects are shown.
     From: Richard Breheny (Letter to Clerk Maxwell [1855]), quoted by Harré,R./Madden,E.H. - Causal Powers 9.II.B
     A reaction: He uses 'force' for what is fundamental, and 'powers' for their results. I am inclining to talk of 'fundamental powers' and 'complex powers', leaving the word 'force' to the physicists.