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Are There Contradictions in Mathematics?

In: Finsler Set Theory: Platonism and Circularity

Author

Listed:
  • David Booth

    (Three Fold Foundation 307)

  • Renatus Ziegler

    (Mathematisch-Astronomische Sektion am Geotheanum)

Abstract

Can contradictions exist in mathematics? That is, insoluble contradictions? In this, the most exact of the sciences, is not every statement either true or false, quite independent of all personal opinions, points of view, or other influences? Is it possible to prove a proposition and also at the same time its negation?

Suggested Citation

  • David Booth & Renatus Ziegler, 1996. "Are There Contradictions in Mathematics?," Springer Books, in: David Booth & Renatus Ziegler (ed.), Finsler Set Theory: Platonism and Circularity, pages 39-49, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9031-1_3
    DOI: 10.1007/978-3-0348-9031-1_3
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