Combining Texts

All the ideas for 'Two Notions of Being: Entity and Essence', 'The Value of Knowledge and the Pursuit of Understanding' and 'Our Knowledge of Mathematical Objects'

unexpand these ideas     |    start again     |     specify just one area for these texts


10 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?
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
     Full Idea: My Proceduralism offers axiom-free foundations for mathematics. Axioms give way to the stipulation of procedures. We obtain a form of logicism, but with a procedural twist, and with a logic which is ontologically neutral, and no assumption of objects.
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
     A reaction: [See Ideas 9222 and 9223 for his Proceduralism] Sounds like philosophical heaven. We get to take charge of mathematics, without the embarrassment of declaring ourselves to be platonists. Someone, not me, should evaluate this.
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
     Full Idea: I call my new approach to mathematics 'proceduralism'. It agrees with Hilbert and Poincaré that the objects and truths are postulations, but takes them to be imperatival rather than indicative in form; not propositions, but procedures for construction.
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], Intro)
     A reaction: I'm not sure how an object or a truth can be a procedure, any more than a house can be a procedure. If a procedure doesn't have a product then it is an idle way to pass the time. The view seems to be related to fictionalism.
My Proceduralism has one simple rule, and four complex rules [Fine,K]
     Full Idea: My Proceduralism has one simple rule (introduce an object), and four complex rules: Composition (combining two procedures), Conditionality (if A, do B), Universality (do a procedure for every x), and Iteration (rule to keep doing B).
     From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
     A reaction: It sounds like a highly artificial and private game which Fine has invented, but he claims that this is the sort of thing that practising mathematicians have always done.
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?
11. Knowledge Aims / A. Knowledge / 2. Understanding
Understanding is seeing coherent relationships in the relevant information [Kvanvig]
     Full Idea: What is distinctive about understanding (after truth is satisfied) is the internal seeing or appreciating of explanatory and other coherence-inducing relationships in a body of information that is crucial for understanding.
     From: Jonathan Kvanvig (The Value of Knowledge and the Pursuit of Understanding [2003], 198), quoted by Anand Vaidya - Understanding and Essence 'Distinction'
     A reaction: For me this ticks exactly the right boxes. Coherent explanations are what we want. The hardest part is the ensure their truth. Kvanvig claims this is internal, so we can understand even if, Gettier-style, our external connections are lucky.