#### Preview

This chapter argues that calculus, the theory of differentiation and integration that permeates modern science, can be formulated as a purely geometric theory, which does not entail the existence of mathematical objects such as numbers, sets and functions. In particular it is argued that modern differential geometry can be ‘nominalised’, i.e. be formulated in such a way that it does not entail the existence of mathematical entities, by making judicious use of the geometric structure of the fibre bundles spaces which were encountered in chapter 6.

*Keywords: *
calculus;
differential geometry;
fibre bundles;
nominalism;
numbers;
sets

*Chapter.*
*34598 words.*
*Illustrated.*

*Subjects: *
Metaphysics

Go to Oxford Scholarship Online » abstract

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.