Abstract
This paper is intended to be a contribution to the development of the logical theory known as 'type theory'. In Section 1 of this paper, I shall propose a new way of understanding systems of simple type theory by putting forward a kind of "interpretation" of the primitive symbols in terms of which the theorem can be seen to be reasonable assertions. My new way of regarding simple type theory will develop some ideas to be found in Euclid's geometry and apply them to Frege's system of concepts and relations. In Section 2, I shall discuss the possible philosophical significance of such a system, especially for the well-known indispensability thesis of W. Quine and H. Putman.1
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