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International Studies in Phenomenology and Philosophy

Series | Book | Chapter

149052

The presence of number

J Miller

pp. 45-63

Abstract

In the previous chapter we saw that, according to Husserl, the concept of number can be clarified by a study of the "phenomenological origin' of number. Number may be defined as "determinate multitude,' but we come to a full understanding of what we mean by number, or of what numbers themselves truly are, only through a study of the intentional acts correlated with numbers. In particular, as we saw, Husserl seeks to bring to light the network of empty and filled intentions within which numbers emerge as identities. To study the phenomenological origin or "constitution' of number is to study the specific modes of presence and absence characteristic of numbers. In this chapter and the one that follows, then, we shall be concerned with the details of Husserl's attempt to clarify number phenomenologically. We shall examine his investigation of the specific modes of presence and absence which are characteristic of the realm of number. In the current chapter we shall be concerned only with that "authentic counting' which makes number present in an originally intuitive manner. The absence of number will be treated in the chapter that follows.

Publication details

Published in:

Miller J. Philip (1982) Numbers in presence and absence: a study of Husserl's philosophy of mathematics. Dordrecht, Springer.

Pages: 45-63

DOI: 10.1007/978-94-009-7624-5_3

Full citation:

Miller J. Philip (1982) The presence of number, In: Numbers in presence and absence, Dordrecht, Springer, 45–63.