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dc.contributor.advisorBausch, Augustus Frank, 1920-1973
dc.contributor.authorBelski, William
dc.descriptioniii, 94 p.en_US
dc.description.abstractIn this paper we will trace the changing notion of infln1ty throughout Western thought. In the first part ideas from both mathematics and philosophy wl11 be brought together, for often in discussions on infinity the one 1s called upon to justify statements in the other. It would be impossible to ment1on all the uses of inf1nity as it is seen in almost every top1c in mathemat1cs, However, in the following parts we will study 1n detail Georg Cantor's theory of transfin1te numbers, the ar1thmetic of infinite sets. The Contlnuum Hypothesis, today's most perplexing mathematical problem concerning infinity will also be examined. We will conclude with a brief description of the present theorles of the infinite.en_US
dc.publisherKalamazoo Collegeen_US
dc.relation.ispartofKalamazoo College Mathematics Senior Individualized Projects Collection
dc.rightsU.S. copyright laws protect this material. Commercial use or distribution of this material is not permitted without prior written permission of the copyright holder.

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  • Mathematics Senior Integrated Projects [270]
    This collection includes Senior Integrated Projects (SIP's) completed in the Mathematics Department. Abstracts are generally available to the public, but PDF files are available only to current Kalamazoo College students, faculty, and staff.

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