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The sequence alignment problem: boundary conditions as the unifying principle. [PDF]

Brief Bioinform
Gagniuc PA, Gagniuc E.
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STUDIES IN LOGIC AND THE FOUNDATIONS OF MATHEMATICS

, 2014
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New Foundations for Mathematical Logic

American Mathematical Monthly, 1937
(1937). New Foundations for Mathematical Logic. The American Mathematical Monthly: Vol. 44, No. 2, pp. 70-80.
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Mathematical Foundations of Fuzzy Logic

Studies in Fuzziness and Soft Computing, 1999
Our motivation to enter into the foundations of fuzzy logic is based on five aspects. First, fuzzy logic complements parity logic in a unique way and represents currently the most versatile branch of approximate and causal reasoning, in particular with respect to fuzzy cognitive maps in almost every field of psychology.
Michael Zaus, Zaus Michael
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Foundations of mathematical logic

Journal of the Franklin Institute, 1963
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IF logic and the foundations of mathematics

Synthese, 2001
One of the properties of independence friendly (IF) first-order logic as discussed, e.g., by \textit{J. Hintikka} in his ``The principles of mathematics revisited'' [Cambridge University Press, Cambridge (1996; Zbl 0869.03003)] is that ``it defines its own truth-predicate in certain models, like for instance, in the standard model \(N\) of PA'' (p. 40).
Gabriel Sandu, Tapani Hyttinen
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Simplified foundations for mathematical logic

Journal of Symbolic Logic, 1955
A system SF, closely related to NF, is outlined here. SF has several novel points of simplicity and interest, (a) It uses only one basic notion, from which all the other concepts of logic and mathematics may be built definitionally. Three-notion systems are common, but Quine's two-notion IA has for some time represented the extreme in conceptual ...
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The combinatory foundations of mathematical logic

Journal of Symbolic Logic, 1942
In investigations of the foundations of mathematics we can distinguish two separate tendencies. On the one hand, one may seek to define his subject with greatest possible explicitness: to obtain a formulation which satisfies the most exacting demands for precision, and which is at the same time free from paradoxes and adequate for the purpose.
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Neural foundations of logical and mathematical cognition

Nature Reviews Neuroscience, 2003
Brain-imaging techniques have made it possible to explore the neural foundations of logical and mathematical cognition. These techniques are revealing more than simply where these high-order processes take place in the human cortex. Imaging is beginning to answer some of the oldest questions about what logic and mathematics are, and how they emerge and
Olivier, Houdé, Nathalie, Tzourio-Mazoyer   +1 more
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