Srinivasan, Radhakrishnan (2002) Quantum superposition justified in a new non-Aristotelian finitary logic. [Preprint]
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Abstract
A new non-Aristotelian finitary logic (NAFL) is proposed in which it is postulated that the truth or falseness of an undecidable proposition in a theory T is meaningful only when asserted axiomatically; there is no truth other than axiomatic truth. It is shown that under this hypothesis, the law of the excluded middle and the law of non-contradiction for such undecidable propositions must fail to be theorems of T. The phenomenon of quantum superposition is thus explained in NAFL. It is also shown that infinite sets cannot exist in any consistent theory of NAFL, which makes it a very restrictive logic. Implications for some modern mathematical and physical theories are analyzed from the point of view of NAFL.
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Item Type: | Preprint | ||||||
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Keywords: | non-Aristotelian finitary logic, anti-realism, quantum superposition, undecidability, consistency, model theory, set theory, law of the excluded middle, law of non-contradiction | ||||||
Subjects: | Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics |
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Depositing User: | Dr. Radhakrishnan Srinivasan | ||||||
Date Deposited: | 04 May 2002 | ||||||
Last Modified: | 07 Oct 2010 15:10 | ||||||
Item ID: | 635 | ||||||
Subjects: | Specific Sciences > Mathematics Specific Sciences > Physics > Quantum Mechanics |
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Date: | March 2002 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/635 |
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- Quantum superposition justified in a new non-Aristotelian finitary logic. (deposited 04 May 2002) [Currently Displayed]
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- Srinivasan, Radhakrishnan Quantum superposition justified in a new non-Aristotelian finitary logic. (deposited 04 May 2002) [Currently Displayed]
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