hyperfinite and standard unifications for physical theories
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ID: 133524
2001
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Abstract
A set of physical theories is represented by a nonempty subset {SNjV|j∈ℕ} of the lattice of consequence operators defined on a language Λ. It is established that there exists a unifying injection 𝒮 defined on the nonempty set of significant representations for natural systems M⊂Λ. If W∈M, then 𝒮W is a hyperfinite ultralogic and ⋃{SNjV(W)|j∈ℕ}=𝒮W(*W)∩Λ. A product hyperfinite ultralogic Π is defined on internal subsets of the product set *Λm and is shown to represent the application of 𝒮 to {W1,…,Wm}⊂M. There also exists a standard unifying injection SW such that 𝒮W(*W)⊂*SW(*W).
| Reference Key |
herrmann2001internationalhyperfinite
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|---|---|
| Authors | ;Robert A. Herrmann |
| Journal | structural engineering and mechanics |
| Year | 2001 |
| DOI |
10.1155/S0161171201006913
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| URL | |
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