Journal of Philosophical Logic 51 (3):583-602 (2022)
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In this paper, we argue for an instrumental form of existence, inspired by Hilbert’s method of ideal elements. As a case study, we consider the existence of contradictory objects in models of non-classical set theories. Based on this discussion, we argue for a very liberal notion of existence in mathematics.
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DOI | 10.1007/s10992-021-09642-4 |
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References found in this work BETA
In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
Conceptions of Set and the Foundations of Mathematics.Luca Incurvati - 2020 - Cambridge University Press.
How to Sell a Contradiction: The Logic and Metaphysics of Inconsistency.Francesco Berto - 2007 - College Publications.
Forcing and the Universe of Sets: Must We Lose Insight?Neil Barton - 2020 - Journal of Philosophical Logic 49 (4):575-612.
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