Published online by Cambridge University Press: 01 January 2020
Since Russell and Moore forsook idealism, it has often been assumed that only analytic truths can express internal relations — relations which, in Russell's words, are ‘grounded in the natures of the related terms.’ An object, a, is internally related to another object, b, if and only if a is related to b in virtue of a's possessing some property, P. So if a has the property of being a branch, then it is internally related to some tree, b, as part to whole. In turn, ‘A branch is a part of some tree’ is (at least a plausible candidate for) an analytic truth. It is true in virtue of the meanings of its terms, or because the concept of the predicate contains the concept of the subject.
Quine's critique of analyticity has thus made the pragmatically minded wary of talk of internal relations.
2 Russell, B. ‘The Monistic Theory of Truth,’ reprinted in Philosophical Essays, rev. ed. (London: George Allen & Unwin 1966), 131–46, at 139Google Scholar
3 Rorty, R. Philosophy and the Mirror of Nature (Princeton: Princeton University Press 1979), 193Google Scholar
4 I draw on Baker, G.P. and Hacker, P.M.S. Wittgenstein: Rules, Grammar and Necessity (Oxford: Basil Blackwell 1985), 85–91,338-47Google Scholar. See also Shiner, R.A. ‘Wittgenstein and the Foundations of Knowledge,’ Proceedings of the Aristotelian Society 78 (1977/78) 103–24CrossRefGoogle Scholar, and Putnam, H. ‘Rethinking Mathematical Necessity,’ in Words and Life (Cambridge, MA: Harvard University Press 1994) 245–63Google Scholar.
5 Most works by Wittgenstein and Quine will be cited thus:
Wittgenstein, L.: (TLP) Tractatus Logico-Philosophicus, Ogden, C.K. trans. (London: Routledge & Kegan Paul 1921)Google Scholar.
(PR) Philosophical Remarks, Rhees, R. ed., Hargreaves, R. and White, R. trans. (Chicago: University of Chicago Press 1975)Google Scholar.
(PG) Philosophical Grammar, Rhees, R. ed., Kenny, A. trans. (Oxford: Basil Blackwell 1974)Google Scholar.
(LFM) Wittgenstein's Lectures on the Foundations of Mathematics-Cambridge, 1939, Diamond, C. ed. (Chicago: University of Chicago Press 1976)Google Scholar.
(RFM) Remarks on the Foundations of Mathematics, rev. ed., Wright, G.H. von Rhees, R. Anscombe, G.E.M. eds., Anscombe, G.E.M. trans. (Cambridge, MA: The MIT Press 1978)Google Scholar.
(PI) Philosophical Investigations, 2nd ed. Anscombe, G.E.M. and Rhees, R. eds., Anscombe, G.E.M. trans. (Oxford: Basil Blackwell 1968)Google Scholar.
Quine, W.V.: (TO) ‘Two Dogmas of Empiricism,’ reprinted in From a Logical Point of View, 2nd ed. (Cambridge, MA: Harvard University Press 1980) 20–46Google Scholar.
(WO) Word and Object (Cambridge, MA: The MIT Press 1960).
(OR) Ontological Relativity and Other Essays (New York: Columbia University Press 1969).
(RR) Roots of Reference (LaSalle: Open Court 1974).
(PT) Pursuit of Truth (Cambridge, MA: Harvard University Press 1990).
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7 Russell, B. The Analysis of Mind (London: George Allen and Unwin 1921), 68Google Scholar. A related account of belief and verification appears at 269f.
8 Cf. the argument against process-reliabilism in Pollock, J. Contemporary Theories of Knowledge (Totowa: Rowman and Littlefield 1986), 118–20.Google Scholar
9 Wittgenstein later speaks of both concepts (PI, §569), on the one hand, and words (PI, §§11, 23, 360) and samples (PI, §§16, 53, 57), on the other, as being instruments or tools. Rules (PI, §54), descriptions (PI, §291), sentences (PI, §421), and language or languages (PI, §§492, 569) are also described this way. This variety should not bother us as long as we bear in mind that it is between or among the uses or roles of words or samples that internal relations obtain. See Section V below.
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16 Given what Wittgenstein says about the standard metre (PI, §50), it might seem that the idea of extracting remarks about analyticity from his work is inappropriate. But I take the point of the example to be not that there is no truth-value that can be assigned to ‘The standard metre is a metre long,’ but that any truth-value that we do assign must apply for reasons very different from those for which we might say ‘This table is one metre long.’ See Baker, and Hacker, Rules, Grammar and Necessity, 343; Allen, B. Truth in Philosophy (Cambridge, MA: Harvard University Press 1993), 121–32Google Scholar.
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