MATHEMATICS, TO EXPLAIN AND TO UNDERSTAND
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Moreno Armella, L. (2024). MATHEMATICS, TO EXPLAIN AND TO UNDERSTAND. 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.

https://doi.org/10.18257/raccefyn.20(78).1996.3047

Keywords

Non-Euclidian geometry | empiricism | rationalism | mathematical object | for­mal structures
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