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Consistency and konsistenz

Erkenntnis 26 (1):1 - 43 (1987)

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  1. The transzendenz of mathematical 'experience'.William Boos - 1998 - Synthese 114 (1):49-98.
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  • Set theory and physics.K. Svozil - 1995 - Foundations of Physics 25 (11):1541-1560.
    Inasmuch as physical theories are formalizable, set theory provides a framework for theoretical physics. Four speculations about the relevance of set theoretical modeling for physics are presented: the role of transcendental set theory (i) in chaos theory, (ii) for paradoxical decompositions of solid three-dimensional objects, (iii) in the theory of effective computability (Church-Turing thesis) related to the possible “solution of supertasks,” and (iv) for weak solutions. Several approaches to set theory and their advantages and disadvatages for physical applications are discussed: (...)
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