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Lukasiewicz'S Logics And Prime Numbers,New
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Is There Any Link Between The Doctrine Of Logical Fatalism And Prime Numbers? What Do Logic And Prime Numbers Have In Common? The Book Adopts Truthfunctional Approach To Examine Functional Properties Of Finitevalued Lukasiewicz Logics Ln+1. Prime Numbers Are Defined In Algebraiclogical Terms (Finn'S Theorem) And Represented As Rooted Trees. The Author Designs An Algorithm Which For Every Prime Number N Constructs A Rooted Tree Where Nodes Are Natural Numbers And N Is A Root. Finitevalued Logics Kn+1 Are Specified That They Have Tautologies If And Only If N Is A Prime Number. It Is Discovered That Kn+1 Have The Same Functional Properties As Ln+1 Whenever N Is A Prime Number. Thus, Kn+1 Are 'Logics' Of Prime Numbers. Amazingly, Combination Of Logics Of Prime Numbers Led To Uncovering A Law Of Generation Of Classes Of Prime Numbers. Along With Characterization Of Prime Numbers Author Also Gives Characterization, In Terms Of Lukasiewicz Logical Matrices, Of Powers Of Primes, Odd Numbers, And Even Numbers.
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