Abstract

Finsler’s attitude towards mathematics was Platonistic in a very definite sense: He believed in the reality of pure concepts. Together they form the purely conceptual realm which encompasses all mathematical objects, structures and patterns. This realm exists independently of any particular state of human consciousness or individual experience. Mathematicians do not invent or construct their structures and propositions; they recognize, or discover, how these objects in the conceptual realm are interrelated with each other.KeywordsFormal SystemMathematical ObjectObject LanguageSymbolic RepresentationSymbolic ComputationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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