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Is there a Common Logic that Guides Research in Mathematics and Physics? Induction vs. Universal Generalization

Motivated by the analogy which holds within the context of discovery between mathematics and physics, we aim to show that there is a connection between two fields within the context of justification too. Based on the careful analysis of examples from science (especially within the domain of physics) we suggest that the logic of scientific research, which might appear as enumerative induction, is deduction, and we propose it to be universal generalization inference rule. Our main argument closely follows the analysis of the structure of physical theory proposed by theoretical physicist Eugene P. Wigner.

mathematics-physics analogy, context of justification, enumerative induction, universal generalization, Wigner’s account of physics

Objavljeno kao cjeloviti znanstveni članak u Croatian Journal of Philosophy pod naslovom: Mathematics and Physics within the Context of Justification: Induction vs. Universal Generalization