baroudi, elkhalil (0006) Mathematical Equations and Epistemological Proportion: A Critical Study in Contemporary Philosophy of Science. [Preprint]
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Abstract
Abstract
This study examines the nature of the relationship between mathematics and physical reality from a critical epistemological perspective. It proposes the concept of "epistemological proportion" as an explanatory mechanism to understand how mathematical structures interact with scientific knowledge. Through the analysis of selected historical cases and an examination of Gödel's incompleteness theorems, this study suggests a balanced theoretical framework that re-positions mathematics as a powerful, yet fallible, cognitive tool. The study concludes by emphasizing the necessity of re-evaluating the role of mathematics in scientific inquiry, underscoring the importance of balancing mathematical elegance with empirical truth.
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| Item Type: | Preprint | ||||||
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| Keywords: | Philosophy of Mathematics, Epistemology, Cognitive Proportion, Incompleteness Theorems, Scientific Methodology | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology General Issues > History of Philosophy of Science General Issues > Structure of Theories General Issues > Thought Experiments |
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| Depositing User: | DR ELKHALIL baroudi | ||||||
| Date Deposited: | 16 Jul 2025 15:46 | ||||||
| Last Modified: | 16 Jul 2025 15:46 | ||||||
| Item ID: | 25917 | ||||||
| Subjects: | Specific Sciences > Mathematics > Epistemology General Issues > History of Philosophy of Science General Issues > Structure of Theories General Issues > Thought Experiments |
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| Date: | 23 September 0006 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/25917 |
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