Reifying mathematics? Prediction and symmetry classification

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (2):239-258 (2008)
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Abstract

In this paper I reconstruct and critically examine the reasoning leading to the famous prediction of the ‘omega minus’ particle by M. Gell-Mann and Y. Ne’eman (in 1962) on the basis of a symmetry classification scheme. While the peculiarity of this prediction has occasionally been noticed in the literature, a detailed treatment of the methodological problems it poses has not been offered yet. By spelling out the characteristics of this type of prediction, I aim to underscore the challenges raised by this episode to standard scientific methodology, especially to the traditional deductive-nomological account of prediction.

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Sorin Bangu
University of Bergen

Citations of this work

Fundamentality, Effectiveness, and Objectivity of Gauge Symmetries.Aldo Filomeno - 2016 - International Studies in the Philosophy of Science 30 (1):19-37.
Avoiding reification: Heuristic effectiveness of mathematics and the prediction of the omega minus particle.Michele Ginammi - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 53:20-27.
The Role of Symmetry in Mathematics.Noson S. Yanofsky & Mark Zelcer - 2017 - Foundations of Science 22 (3):495-515.
Wigner’s Puzzle for Mathematical Naturalism.Sorin Bangu - 2009 - International Studies in the Philosophy of Science 23 (3):245-263.

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References found in this work

Quantitative parsimony.Daniel Nolan - 1997 - British Journal for the Philosophy of Science 48 (3):329-343.
Simplicity.Alan Baker - 2008 - Stanford Encyclopedia of Philosophy.
Symmetries in Physics: Philosophical Reflections.Katherine Brading & Elena Castellani (eds.) - 2002 - New York: Cambridge University Press.
Prediction and the periodic table.Eric R. Scerri & John Worrall - 2001 - Studies in History and Philosophy of Science Part A 32 (3):407-452.
Models and mathematics in physics: The role of group theory.Steven French - 1999 - In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press. pp. 187--207.

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