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Dealing with the Infinite

In: The Mathematical Traveler

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  • Calvin C. Clawson

Abstract

Any meaningful discussion of numbers must include something on infinity. We have already thrown around the term in exploring the natural number sequence without any attempt to define its meaning. To understand what the natural numbers are is to have a sense for infinity, for understanding numbers implies infinity—that they go on “forever.” Since mathematics begins with the study of numbers, we cannot appreciate either numbers or mathematics without tackling this strange and beautiful idea.

Suggested Citation

  • Calvin C. Clawson, 1994. "Dealing with the Infinite," Springer Books, in: The Mathematical Traveler, chapter 0, pages 135-159, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-6014-6_9
    DOI: 10.1007/978-1-4899-6014-6_9
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