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Published in:
2009 | OriginalPaper | Chapter
Human Being and Mathematics Logical and Mathematical Thinking
Author : Rudolf Wille
Published in: Conceptual Structures: Leveraging Semantic Technologies
Publisher: Springer Berlin Heidelberg
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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.