The Philosophy of Mathematics: A Journey Through Ancient Wisdom and Modern Debates

Author(s)	Mr. Gurkamal Singh
Country	India
Abstract	This paper explores the fascinating world of mathematical philosophy, tracing its development from ancient Greek discoveries to contemporary classroom debates. Through examining major philosophical schools—Platonism, formalism, constructivism, and naturalism—I investigate how different views about the nature of mathematical truth affect everything from research mathematics to how we teach calculus to freshmen. My analysis draws on historical sources, philosophical arguments, and educational research to show that these seemingly abstract questions have very real consequences for mathematical practice and learning
Keywords	philosophy, Philosophy of Mathematics, Wisdom, Debates, Platonism, formalism, constructivism, naturalism
Field	Mathematics
Published In	Volume 16, Issue 3, July-September 2025
Published On	2025-08-27
DOI	https://doi.org/10.71097/IJSAT.v16.i3.7923
Short DOI	https://doi.org/g9z5nq

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International Journal on Science and Technology