Abstract
Learning theoretic aspects of mathematics and logic have been studied by many authors. They study how mathematical and logical objects are algorithmically “learned” (inferred) from finite data. Although the subjects ofstudies are mathematical objects, the objective ofthe studies are learning. In this paper, a mathematics of which foundation itselfis learning theoretic will be introduced. It is called Limit Computable Mathematics. It was originally introduced as a means for “Proof Animation,” which is expected to make interactive formal proof development easier. Although the original objective was not learning theoretic at all, learning theory is indispensable for our research.
The full version ofthis paper is published in the Proceedings of the 13th International Conference on Algorithmic Learning Theory, Lecture Notes in Artificial Intelligence Vol. 2533
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© 2002 Springer-Verlag Berlin Heidelberg
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Hayashi, S. (2002). Mathematics Based on Learning. In: Lange, S., Satoh, K., Smith, C.H. (eds) Discovery Science. DS 2002. Lecture Notes in Computer Science, vol 2534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36182-0_1
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DOI: https://doi.org/10.1007/3-540-36182-0_1
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