By Wolfe Mays (auth.)
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Extra resources for Whitehead’s Philosophy of Science and Metaphysics: An Introduction to His Thought
THE IDEA OF EQUIV ALENCE 27 measurement. As we shall see the view that "matching" is fundamental to the notion of equality is, as far as perception is concerned, already to be found in A Treatise on Universal Algebra. VI. 32 Such judgments, he goes on, may also be founded on the respective derivations of the things judged to be equivalent. He includes under the heading of derivation physical and psychological derivations. 33 Two pieces of stuff may, for example, be judged to match in colour because they were dyed in the same dipping, or were cut from the same piece of stuff.
8. , cf. p. 9. , cr. p. 9. Introduction to Mathematics, p. 60. Universal Algebra, cf. p. 13. E. Johnson's terminology, the determinable and the different colours the determinates. Another example is the idea of empty space referred to co-ordinate axes. Each point of space represents a special mode of the common property of spatiality. The fundamental properties of space are expressed in terms of these coordinates in the form of the geometrical axioms. The logical deductions from the axioms form the propositions of geometry and are investigated by a calculus; in this case axiomatic geometry.
Indeed, for Quine the utility of our language lies in its very failure to copy reality in any one-thing-one-name manner. 44 45 46 Word and Object, cr. p. 117. "Whitehead and Modem Logic," pp. 128-9. Methods ofLogic, 1950, p. 209. THE IDEA OF EQUIVALENCE 31 The weak point in Quine's argument would seem to be that he assumes that we know objects around us independently of any conceptual interpretation. He also seems to assume that our language possesses a store of precise synonyms upon which we can draw when we wish to refer to these objects.
Whitehead’s Philosophy of Science and Metaphysics: An Introduction to His Thought by Wolfe Mays (auth.)