Results 31 to 40 of about 393,145 (296)
The Logic of Self-Organized Criticality
A consideration of non-classical logic in terms of classical one allows us to show a role of designated truth values. In this way we show that our version of non-classical many-valued logic can be based on the structure of genetic code.
Bakhtiyarov Kamil I.
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A Paraconsistent Higher Order Logic [PDF]
Classical logic predicts that everything (thus nothing useful at all) follows from inconsistency. A paraconsistent logic is a logic where an inconsistency does not lead to such an explosion, and since in practice consistency is difficult to achieve there
A. Church +18 more
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The Everett-Wheeler interpretation and the open future [PDF]
I discuss the meaning of probability in the Everett-Wheeler interpretation of quantum mechanics, together with the problem of defining histories. To resolve these, I propose an understanding of probability arising from a form of temporal logic: the ...
Sudbery, Anthony
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Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic
In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited by the Aristotelian idea of logical contingency. Nevertheless, we can construct a four-valued logic for explicating the Stoic idea of logical determinacy.
Schumann Andrew
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On Jan Łukasiewicz’s many-valued logic and his criticism of determinism
The article deals with Jan Łukasiewicz’s thesis that the truth or falsity of some propositions about the future—future contingents—entails determinism.
Dariusz Łukasiewicz
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From Boolean Valued Analysis to Quantum Set Theory: Mathematical Worldview of Gaisi Takeuti
Gaisi Takeuti introduced Boolean valued analysis around 1974 to provide systematic applications of the Boolean valued models of set theory to analysis. Later, his methods were further developed by his followers, leading to solving several open problems ...
Masanao Ozawa
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A SYNTHESIS METHOD OF BASIC TERNARY BENT-SQUARES BASED ON THE TRIAD SHIFT OPERATOR
Practical application of advanced algebraic constructions in modern communication systems based on MC-CDMA (Multi Code Code Division Multiple Access) technology and in cryptography necessitates their further research.
O. N. Zhdanov, A. V. Sokolov
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Propositional Logics Complexity and the Sub-Formula Property [PDF]
In 1979 Richard Statman proved, using proof-theory, that the purely implicational fragment of Intuitionistic Logic (M-imply) is PSPACE-complete.
Haeusler, Edward Hermann
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Eigenlogic: a Quantum View for Multiple-Valued and Fuzzy Systems
We propose a matrix model for two- and many-valued logic using families of observables in Hilbert space, the eigenvalues give the truth values of logical propositions where the atomic input proposition cases are represented by the respective eigenvectors.
D Aerts +10 more
core +4 more sources
THE CLASS OF PERFECT TERNARY ARRAYS
In recent decades, perfect algebraic constructions are successfully being use to signal systems synthesis, to construct block and stream cryptographic algorithms, to create pseudo-random sequence generators as well as in many other fields of science and ...
A. V. Sokolov, O. N. Zhdanov
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