Theory of Quantum Computation and Philosophy of Mathematics. Part II

Krzysztof Wójtowicz

DOI: http://dx.doi.org/10.12775/LLP.2018.006

Abstract


In the article, the philosophical significance of quantum computation theory for philosophy of mathematics is discussed. In particular, I examine the notion of “quantum-assisted proof” (QAP); the discussion sheds light on the problem of the nature of mathematical proof; the potential empirical aspects of mathematics and the realism-antirealism debate (in the context of the indispensability argument). I present a quasi-empiricist account of QAP’s, and discuss the possible impact on the discussions centered around the Enhanced Indispensabity Argument (EIA).


Keywords


quantum computation; quantum-assisted proofs; indispensability argument; mathematical realism; quasi-empiricismfs; indispensability argument; mathematical realism; quasi-empiricism

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References


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