Hyperfinite and standard unifications for physical theories

Robert A. Herrmann

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-10

Abstract:

A set of physical theories is represented by a nonempty subset { S N j V | 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 𝒮 W is a hyperfinite ultralogic and ⋃ { S N j V ( W ) | j ∈ ℕ } = 𝒮 W ( * W ) ∩ Λ . A product hyperfinite ultralogic Π is defined on internal subsets of the product set * Λ m and is shown to represent the application of 𝒮 to { W 1 , … , W m } ⊂ M . There also exists a standard unifying injection S W such that 𝒮 W ( * W ) ⊂ * S W ( * W ) .

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:490453

DOI: 10.1155/S0161171201006913

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