Human Being and Mathematics Logical and Mathematical Thinking

  • Authors:
  • Rudolf Wille

  • Affiliations:
  • Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt D---64289

  • Venue:
  • ICCS '09 Proceedings of the 17th International Conference on Conceptual Structures: Conceptual Structures: Leveraging Semantic Technologies
  • Year:
  • 2009

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Abstract

Logical thinking as an expression of human reason grasps the actual reality by the basic forms of thinking: concept, judgment, and conclusion. Mathematical thinking abstracts from logical thinking to disclose a cosmos of forms of potential realities hypothetically. Mathematics as a form of mathematical thinking can therefore support humans within their logical thinking about realities which, in particular, promotes sensible actions. This train of thought has been convincingly differentiated by Peirce's philosophical pragmatism and concretized by a "contextual logic " invented by members of the mathematics department at the TU Darmstadt.