Results 271 to 280 of about 21,604 (312)

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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A Revolution in the Foundations of Mathematics?

Synthese, 1997
The author criticizes ordinary first-order logic for its numerous inadequacies and points out that a less restrictive idea of what our basic logic is like leads to a version of a first-order logic that may be free of these inadequacies.
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Mathematical Foundations

2019
AbstractStatistical machine learning and signal processing are topics in applied mathematics, which are based upon many abstract mathematical concepts. Defining these concepts clearly is the most important first step in this book. The purpose of this chapter is to introduce these foundational mathematical concepts.
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Foundations as a branch of mathematics

Journal of Philosophical Logic, 1972
It is quite clear the way in which we can, and perhaps should, consider mathematical logic as a branch of mathematics, in fact a part of applied mathematics. The main technique used in applied mathematics is that of studying a phenomenon by building a mathematical model of it.
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Mathematical Foundations for Mathematics

The American Mathematical Monthly, 1971
(1971). Mathematical Foundations for Mathematics. The American Mathematical Monthly: Vol. 78, No. 5, pp. 463-487.
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ON THE FOUNDATIONS OF MATHEMATICAL ECONOMICS

New Mathematics and Natural Computation, 2012
Kumaraswamy Vela Velupillai74 presents a constructivist perspective on the foundations of mathematical economics, praising the views of Feynman in developing path integrals and Dirac in developing the delta function. He sees their approach as consistent with the Bishop constructive mathematics and considers its view on the Bolzano-Weierstrass, Hahn ...
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Mathematical Foundations of Biomechanics

Critical Reviews™ in Biomedical Engineering, 2010
The aim of biomechanics is the analysis of the structure and function of humans, animals, and plants by means of the methods of mechanics. Its foundations are in particular embedded in mathematics, physics, and informatics. Due to the inherent multidisciplinary character deriving from its aim, biomechanics has numerous connections and overlapping areas
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Mathematical foundations of neurocomputing

Proceedings of the IEEE, 1990
An attempt is made to establish a mathematical theory that shows the intrinsic mechanisms, capabilities, and limitations of information processing by various architectures of neural networks. A method of statistically analyzing one-layer neural networks is given, covering the stability of associative mapping and mapping by totally random networks.
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An Alternative Mathematical Foundation for Statistics

Acta Applicandae Mathematicae, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUTZ R, MUSIO, MONICA
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A Mathematical Foundation of Big Data

New Mathematics and Natural Computation, 2017
The recent research evolution on big data has brought exciting aspiration to mathematicians, computer scientists and business professionals alike. However, the lack of a sound mathematical foundation presents itself as a real challenge amidst the swarm of big data marketing activities.
Zhaohao Sun, Paul P. Wang
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