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Traditionelle und Weierstraß’sche Konstruktionsabfolge im Vergleich

In: Die Grundlegung der Analysis durch Karl Weierstraß

Author

Listed:
  • Detlef D. Spalt

Abstract

Zusammenfassung Im Jahr 1994 formulierte JOHN HORTON CONWAY folgendes mathematische Problem(n): Proceed from the natural numbers to the non-negative rationals (or the strictly positive ones if you prefer), then construct the non-negative (or positive) reals from these, so having no sign-problem, and then construct signed reals from these in the way that we constructed the signed integers from the natural numbers. I think that this is in fact the simplest way to construct the real numbers along traditional lines.

Suggested Citation

  • Detlef D. Spalt, 2022. "Traditionelle und Weierstraß’sche Konstruktionsabfolge im Vergleich," Springer Books, in: Die Grundlegung der Analysis durch Karl Weierstraß, chapter 0, pages 111-112, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-36548-6_2
    DOI: 10.1007/978-3-658-36548-6_2
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