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By Fred Snell (Eds.)

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What can be defined must be defined. The definitional starting point for mathematics is sometimes taken to be the two primitive concepts, class and G . " Classes are assumed to exist and to be different from each other. The primitive concept, £ , is a relation on classes such that, if A and B are classes, then A G B is a sentence. I t is assumed that not all such sentences are true and that not all such sentences are 28 G. F. ESTABROOK false. All defined concepts in mathematics can be built up from these primitive concepts, although in practice this is very rarely done.

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C. (1963). " Academic Press, New York. Goodwin, B. C. (1970). / . Theoret. Biol. 28, 375. Greene, R. , and Callen, H. B. (1951). Phys. Rev. 83, 1231. Jaynes, E. T. (1963). In "Statistical Physics," pp. 182-218. Benjamin, New York. , and Curran, P. F. (1965). " Harvard Univ. Press, Cambridge, Massachusetts. Kerner, E. H. (1971). " Gordon & Breach, New York & London (in preparation). Khinchin, A. I. (1949). " Dover, New York. 22 KARL KORNACKER Kornacker, K. (1968). Nature {London) 219, 1283. Kornacker, K.

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