Mathematical Intuition and Natural Numbers: A Critical Discussion

Perception and Mathematical Intuition

Mathematical Discourse vs. Mathematical Intuition

One of the most uninformative statements one could possibly make about mathematics is that the axiomatic method expresses the real nature of mathematics, i.e., that mathematics consists in the deduction of conclusions from given axioms. For the same could be said about several other subjects, for example, about theology. Think of the first part of Spinoza’s Ethica ordine geometrico demonstrata ...

Mathematical discussion system

ABSTRACT The Mathematical Discussion System (MDS) is a software system for supporting online discourse embedded in the context of an electronic educational text. Our goal was to create a new type of electronic resource that built upon the strengths of resources that are currently available to University students. Users of our system visit a specially formatted web page and are able to use our s...

Platonism and mathematical intuition in Kurt Gödel's thought

Received June 6, 1994, and in revised form October 20, 1994. Expanded version of the Retiring Presidential Address presented to the annual meeting of the Association for Symbolic Logic at the University of Florida, Gainesville, March 7, 1994. Material from this paper was also presented in lectures to the Fifteenth Annual Wittgenstein Symposium in Kirchberg am Wechsel, Austria, and at the Univer...

MCI theory: a critical discussion

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