Inconsistent Universe – Physics as a meta - science –

نویسنده

  • Hitoshi Kitada
چکیده

Physics is introduced as a semantics of a formal set theory. We consider a metatheory of a formal set theory S. We name this metatheory MS, indicating that it is a Meta-theory of S as well as a Meta-Scientific theory as Ronald Swan [1] refers to. The following arguments are all made in MS. We define in MS φ = the class of all well-formed formulae of S. This φ is a countable set in the context of MS. We identify φ with the set of truth values (in complex numbers C) of well-formed formulae (wff’s) in φ. In this identification, we define a map T from φ to φ by T (∧(q)) = the truth value of a well-formed formula [∧(q) and not ∧ (q)] for q ⊂ φ, with ∧(q) denoting the conjunction of q. We note that every subset q of φ becomes false by adding some well-formed formula f of φ. Hence, the conjunction of q = q ∪ {f} is false and satisfies T (∧(q′)) = ∧(q′). In this sense, φ is a fixed point of the map T . Moreover, we have the followings. 1. In the sense that any subset q of φ is false if some well-formed formula is added to q, φ is inconsistent.

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تاریخ انتشار 2002