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| Main Authors: | , |
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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17725006 |
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Table of Contents:
- This paper explores the theoretical concept of "Axiomatic Rupture" within the historical and philosophical development of mathematics, positing it as a form of intellectual "iconoclasm" that fundamentally reshapes foundational understanding. We argue that periods of significant mathematical advancement often stem from a rejection or re-evaluation of previously unshakeable axioms and paradigms. The notion of a "Macedonian Mathematical Rebirth" is introduced not as a literal historical event, but as a conceptual framework to analyze how regions or intellectual communities, at various points in history, can experience such transformative periods. Drawing parallels to ancient Greek mathematical philosophy and later foundational crises, we investigate how the dismantling of established axiomatic systems can clear the way for novel constructs, leading to a profound intellectual renaissance. This work synthesizes historical accounts of mathematical crises with philosophical perspectives on knowledge construction, proposing a dynamic model for understanding progress in mathematics through the lens of creative destruction.