THEORY OF QUANTUM COMPUTATION AND PHILOSOPHY OF MATHEMATICS. PART II.

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 aspec...

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Publicado en:Logic & Logical Philosophy Vol. 28; no. 1; pp. 173 - 194
Autor principal: Wójtowicz, Krzysztof
Formato: Artículo
Publicado: Logic & Logical Philosophy Mar2019
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: THEORY OF QUANTUM COMPUTATION AND PHILOSOPHY OF MATHEMATICS. PART II.
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        au: Wójtowicz, Krzysztof
        affil: Institute of Philosophy, Warsaw University, Poland
      su:
        Quantum computing
        Realism
        Mathematical proofs
        Quantum mechanics
        Computer simulation
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          Quantum computing
          Realism
          Mathematical proofs
          Quantum mechanics
          Computer simulation
      keyword:
        indispensability argument
        mathematical realism
        quantum computation
        quantum-assisted proofs
        quasi-empiricism
      ab: 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).
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    language: English
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