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Physical Sciences and Mathematics

Platonism

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Nominalization And Interpretation: A Critique Of Global Nominalization Criteria, Jason Alen Dewitt May 2019

Nominalization And Interpretation: A Critique Of Global Nominalization Criteria, Jason Alen Dewitt

Theses and Dissertations

Nominalization is the process which removes abstract objects from our scientific theories. But what makes a proposed nominalization a good or successful one? In the paper “Is It Possible to Nominalize Quantum Mechanics,” Otávio Bueno develops criteria for any successful nominalization. In the present work, I discuss one of these criteria that I call the “interpretation criterion.” It claims that a nominalization of a scientific theory should be neutral with regards to the interpretations of that theory. I argue that the interpretation criterion is problematic, and that it should be replaced with an alternative criterion of nominalization. I first explicate …


Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary Apr 2001

Abstracting Aristotle’S Philosophy Of Mathematics, John J. Cleary

Research Resources

In the history of science perhaps the most influential Aristotelian division was that

between mathematics and physics. From our modern perspective this seems like an unfortunate deviation from the Platonic unification of the two disciplines, which guided Kepler and Galileo towards the modern scientific revolution. By contrast, Aristotle’s sharp distinction between the disciplines seems to have led to a barren scholasticism in physics, together with an arid instrumentalism in Ptolemaic astronomy. On the positive side, however, astronomy was liberated from commonsense realism for the conceptual experiments of Aristarchus of Samos, whose heliocentric hypothesis was not adopted by later astronomers because …