The subject matter of mathematics has increased so rapidly and extensively that there is some element of truth in maintaining that mathematics is not… - George Frederick James Temple

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The subject matter of mathematics has increased so rapidly and extensively that there is some element of truth in maintaining that mathematics is not so much a subject as a way of studying any subject, not so much a science as a way of life. We turn, then, from the attempt to characterize the material object of mathematics to an attempt to determine its formal object, i.e., its methodology.