16 ideas
| 5182 | Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley] |
| Full Idea: Such a metaphysical pseudo-proposition as 'the Absolute enters into, but is itself incapable of, evolution and progress' (F.H.Bradley) is not even in principle verifiable. | |
| From: comment on F.H. Bradley (Appearance and Reality [1893]) by A.J. Ayer - Language,Truth and Logic Ch.1 | |
| A reaction: One may jeer at the Verification Principle for either failing to be precise, or for failing to pass its own test, but Ayer still has a point here. When we drift off into sustained abstractions, we must keeping asking if we are still saying anything real. |
| 6864 | Metaphysics is finding bad reasons for instinctive beliefs [Bradley] |
| Full Idea: Metaphysics is the finding of bad reasons for what we believe upon instinct; but to find these reasons is no less an instinct. | |
| From: F.H. Bradley (Appearance and Reality [1893]), quoted by Robin Le Poidevin - Interview with Baggini and Stangroom p.165 | |
| A reaction: A famous and very nice remark. The idea of believing things on instinct sounds more like David Hume than an idealist. Personally I am not so pessimistic about the enterprise. I think metaphysics is capable of changing what we believe. |
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro) |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1) |
| 10999 | Names need a means of reidentifying their referents [Bradley, by Read] |
| Full Idea: Unless a name has associated with it a means of reidentifying its referent, we cannot use it. | |
| From: report of F.H. Bradley (Appearance and Reality [1893]) by Stephen Read - Thinking About Logic Ch.4 | |
| A reaction: Brilliant! This point is totally undeniable. It is not enough that someone be 'baptised'. We need to hang onto both the name and what it refers to, and how are we going to do that? |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3) |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable). | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) | |
| A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem]. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1) | |
| A reaction: Each expansion brings a limitation, but then you can expand again. |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next. | |
| From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4) |
| 6422 | Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell] |
| Full Idea: The doctrine of internal relations held that every relation between two terms expresses, primarily, intrinsic properties of the two terms and, in ultimate analysis, a property of the whole which the two compose. | |
| From: report of F.H. Bradley (Appearance and Reality [1893]) by Bertrand Russell - My Philosophical Development Ch.5 | |
| A reaction: Russell's first big campaign was to reject this view, and his ontology from then on included relations among the catalogue of universals. The coherence theory of truth also gets thrown out at the same time. Russell seems right. |
| 7966 | Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley] |
| Full Idea: If a relation between qualities is to be something, then clearly we will now require a new connecting relation. The links are united by a link, and this link has two ends, which require a fresh link to connect them to the old. | |
| From: F.H. Bradley (Appearance and Reality [1893], p.28), quoted by Cynthia Macdonald - Varieties of Things Ch.6 | |
| A reaction: That is: external relations generates an infinite regress, so relations must be internal. Russell launched his own philosophy with an attack on Bradley's idea. Personally I take how two things 'relate' to one another as one of the deepest of mysteries. |
| 6404 | British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling] |
| Full Idea: The idealism of Green and Bradley, both of whom were much influenced by the German Idealists, espoused the thesis that the universe ultimately consists of a single Mind which, so to speak, experiences itself. | |
| From: report of F.H. Bradley (Appearance and Reality [1893]) by A.C. Grayling - Russell Ch.2 | |
| A reaction: This looks now like the last (extreme) throw by the religious view of the world, which collapsed in the face of the empirical realism of Russell and Moore. It is all Kant's fault, for cutting us off from his 'noumenon'. |
| 22299 | Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter] |
| Full Idea: Objective idealists such as Bradley (rather than Berkeley's subjective view) accepted the substantial existence of reality (which they called the 'Absolute') but held that thought cannot fully describe it. | |
| From: report of F.H. Bradley (Appearance and Reality [1893]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 23 'Abs' | |
| A reaction: That thought can't 'fully' describe it seems obvious, so I suspect Bradley's view are stronger than that. This sounds like modern strong and weak anti-realists; strong ones deny reality, but weak ones just deny we know where the joints are. |
| 21343 | Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil] |
| Full Idea: In Bradley's view, qualities and relations belong to the realm of appearance. We are left with a single, undifferentiated substance: the Absolute. | |
| From: report of F.H. Bradley (Appearance and Reality [1893]) by John Heil - Relations 'Internal' | |
| A reaction: I've not read Bradley, but I can't distinguish this proposal from Parmenides's belief in The One. Or maybe Spinoza's monist view of God and Nature (but that is 'differentiated'). It doesn't sound like Hegel. |
| 20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |
| Full Idea: Nobody has chosen their character; and yet this does not stop anybody attributing the action which follows from his character to themself as a free action. | |
| From: Friedrich Schelling (The Ages of the World [1810], I.93) | |
| A reaction: This pinpoints a very nice ambivalence about our attitudes to our own characters. We all have some pride and shame about who we are, without having chosed who we are. At least when we are young. But we make the bed we lie in. |
| 6406 | Reality is one, because plurality implies relations, and they assert a superior unity [Bradley] |
| Full Idea: Reality is one. It must be simple because plurality, taken as real, contradicts itself. Plurality implies relations, and, through its relations it unwillingly asserts always a superior unity. | |
| From: F.H. Bradley (Appearance and Reality [1893], p.519), quoted by A.C. Grayling - Russell Ch.2 | |
| A reaction: This argument depends on a belief in 'internal' relations, which Russell famously attacked. If an internal feature of every separate item was its relation to other things, then I suppose Bradley would be right. But it isn't, and he isn't. |