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About this product
- DescriptionIs there any link between the doctrine of logical fatalism and prime numbers? What do logic and prime numbers have in common? The book adopts truth-functional approach to examine functional properties of finite-valued Lukasiewicz logics Ln+1. Prime numbers are defined in algebraic-logical 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 des are natural numbers and n is a root. Finite-valued 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.
- Author BiographyAlexander S. Karpenko, D.Sci. (1991), PhD (1979), is Head of Department of Logic, Institute of Philosophy, Russian Academy of Sciences, and Professor of Moscow State University.
- Author(s)Alexander S. Karpenko
- PublisherLuniver Press
- Date of Publication01/01/2006
- Place of PublicationFrome
- Country of PublicationUnited Kingdom
- ImprintLuniver Press
- Content Noteblack & white illustrations
- Weight256 g
- Width152 mm
- Height229 mm
- Spine9 mm
- Format DetailsTrade paperback (US)
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