13 ideas
| 13917 | 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. |
| 13919 | 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? |
| 13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
| Full Idea: One of Hilbert's aims in 'The Foundations of Geometry' was to eliminate number [as measure of lengths and angles] from geometry. | |
| From: report of David Hilbert (Foundations of Geometry [1899]) by William D. Hart - The Evolution of Logic 2 | |
| A reaction: Presumably this would particularly have to include the elimination of ratios (rather than actual specific lengths). |
| 9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
| Full Idea: Hilbert's geometrical axioms were existential in character, asserting the existence of certain geometrical objects (points and lines). Euclid's postulates do not assert the existence of anything; they assert the possibility of certain constructions. | |
| From: report of David Hilbert (Foundations of Geometry [1899]) by Charles Chihara - A Structural Account of Mathematics 01.1 | |
| A reaction: Chihara says geometry was originally understood modally, but came to be understood existentially. It seems extraordinary to me that philosophers of mathematics can have become more platonist over the centuries. |
| 18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
| Full Idea: In his formal investigation of Euclidean geometry, Hilbert uncovered congruence axioms that implicitly played a role in Euclid's proofs but were not explicitly recognised. | |
| From: report of David Hilbert (Foundations of Geometry [1899]) by Horsten,L/Pettigrew,R - Mathematical Methods in Philosophy 2 | |
| A reaction: The writers are offering this as a good example of the benefits of a precise and formal approach to foundational questions. It's hard to disagree, but dispiriting if you need a PhD in maths before you can start doing philosophy. |
| 18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
| Full Idea: Hilbert's formulation of the Euclidean theory is of special interest because (besides being rigorously axiomatised) it does not employ the real numbers in the axioms. | |
| From: report of David Hilbert (Foundations of Geometry [1899]) by Hartry Field - Science without Numbers 3 | |
| A reaction: Notice that this job was done by Hilbert, and not by the fictionalist Hartry Field. |
| 19480 | Process philosophy places the dynamic nature of being at the centre of our theories [Seibt] |
| Full Idea: Process philosophy is based on the premise that being is dynamic and that the dynamic nature of being should be the primary focus of any comprehensive philosophical account of reality and our place within it. | |
| From: Johanna Seibt (Process Philosophy [2012], Intro) | |
| A reaction: Put like that, the chief ancestor of this approach would be Leibniz, even though his central idea concerns substances. Heraclitus is the most famous ancestor of Process Philosophy. Powers are dynamic, but powers of what? |
| 19479 | Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt] |
| Full Idea: On the reductionist view of processes, they are all 'owned' and we identify them by their owner (such as the murder of Caesar), ...but many processes (e.g. tornadoes, lightning bolts, the NY rush hour) lack a proper 'subject' altogether. | |
| From: Johanna Seibt (Process Philosophy [2012], 2) | |
| A reaction: This seems to be a fairly conclusive refutation of the view that processes are just objects changing their properties. |
| 19481 | Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt] |
| Full Idea: Instead of very small things (atoms) combining to produce standard processes (snowstorms), modern physics envisions very small processes (quantum phenomena) combining to produce standard things. | |
| From: Johanna Seibt (Process Philosophy [2012], 4 (i)) | |
| A reaction: Though electrons seem to be distinct things with a fixed set of properties, so this is not a clear point. Where do fields come into it? Beware of citing quantum mechanics in metaphysics! |
| 13918 | 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'. |
| 13921 | 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? |
| 13922 | 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. |
| 13920 | 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? |