Vol. 20 No. 78 (1996), Mathematics
Vol. 20 No. 78 (1996)

MATHEMATICS, TO EXPLAIN AND TO UNDERSTAND

Mathematics
Published 2024-08-09
Luis Moreno Armella
Centro de Investigación y estudios avanzados del IPN, México
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Keywords

Non-Euclidian geometry
empiricism
rationalism
mathematical object
for­mal structures

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MATHEMATICS, TO EXPLAIN AND TO UNDERSTAND. (2024). Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 20(78), 539-547. https://doi.org/10.18257/raccefyn.20(78).1996.3047
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Abstract

We intend to analyse sorne of the main periods of the evolution of geometry. Our interest is focused in those trends which led to non-Euclidian geometry. The conceptual framework adopted for interpreting the involved historical processes are provided by a constructivist epistemology; our goal is to show that the construction of non-Euclidian geometry can be best interpreted from that conceptual framework.

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