5182
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Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
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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.
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From:
comment on F.H. Bradley (Appearance and Reality [1893]) by A.J. Ayer - Language,Truth and Logic Ch.1
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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.
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10529
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If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
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Full Idea:
Neo-Fregeans have thought that Hume's Principle, and the like, might be definitive of number and therefore not subject to the usual epistemological worries over its truth.
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From:
Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
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A reaction:
This seems to be the underlying dream of logicism - that arithmetic is actually brought into existence by definitions, rather than by truths derived from elsewhere. But we must be able to count physical objects, as well as just counting numbers.
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10530
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Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
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Full Idea:
The fundamental difficulty facing the neo-Fregean is to either adopt the predicative reading of Hume's Principle, defining numbers, but inadequate, or the impredicative reading, which is adequate, but not really a definition.
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From:
Kit Fine (Precis of 'Limits of Abstraction' [2005], p.312)
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A reaction:
I'm not sure I understand this, but the general drift is the difficulty of building a system which has been brought into existence just by definition.
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6422
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Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
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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.
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From:
report of F.H. Bradley (Appearance and Reality [1893]) by Bertrand Russell - My Philosophical Development Ch.5
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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.
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7966
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Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
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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.
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From:
F.H. Bradley (Appearance and Reality [1893], p.28), quoted by Cynthia Macdonald - Varieties of Things Ch.6
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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.
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6404
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British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
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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.
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From:
report of F.H. Bradley (Appearance and Reality [1893]) by A.C. Grayling - Russell Ch.2
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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'.
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10527
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An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
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Full Idea:
If an abstraction principle is going to be acceptable, then it should not 'inflate', i.e. it should not result in there being more abstracts than there are objects. By this mark Hume's Principle will be acceptable, but Frege's Law V will not.
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From:
Kit Fine (Precis of 'Limits of Abstraction' [2005], p.307)
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A reaction:
I take this to be motivated by my own intuition that abstract concepts had better be rooted in the world, or they are not worth the paper they are written on. The underlying idea this sort of abstraction is that it is 'shared' between objects.
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6406
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Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]
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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.
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From:
F.H. Bradley (Appearance and Reality [1893], p.519), quoted by A.C. Grayling - Russell Ch.2
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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.
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