Academic Articles & Research Papers

The Nature of Mathematical Knowledge

Abstract The Nature of Mathematical Knowledge develops and defends an empiricist approach to mathematical knowledge. After offering an account of a priori knowledge, it argues that none of the available accounts of a priori mathematical kno...

The Ethics of Mathematics: Is Mathematics Harmful?

The Handbook of Mathematical Cognition

Part 1: Cognitive Representations for Number and Mathematics. M. Fayol, X. Seron, About Numerical Representations: Insights from Neuropsychological, Experimental and Developmental Studies. M. Brysbaert, Number Recognition in Different Forma...

Introduction to Mathematical Logic.

is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and...

A Mathematical Theory of Evidence

Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probabilit...

Mathematics and Learning Disabilities

Between 5% and 8% of school-age children have some form of memory or cognitive deficit that interferes with their ability to learn concepts or procedures in one or more mathematical domains. A review of the arithmetical competencies of thes...

Satellite-derived prediction on habitat modelling of skipjack tuna (Katsuwonus pelamis) in the Makassar Strait, Indonesia

The Makassar Strait is one of the Indonesian Throughflow (ITF) branches that transports warm water masses from the Pacific Ocean to the Indian Ocean. These water masses have a significant impact on oceanographic parameters, which in turn af...

Cloud point extraction procedure for preconcentration and determination of lead(II) ions using triton X-100 at room temperature

A Cloud point extraction (CPE) procedure was presented for preconcentration of lead(II) ions, after complexation by 18-crown-6 (18C6) and extraction with Triton X-100 at proposed experimental conditions. After separation of surfact...

Global quantum correlations in finite-size spin chains

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations (Rulli and Sara...

Computational Mathematics and Mathematical Physics

MATHEMATICS AND THE NATURAL SCIENCES

Read: https://www.bookdepository.com/Mathematics-Natural-Sciences-Physical-Singularity-Life-Giuseppe-Longo/9781848166936?ref=grid-view&qid=1628083851263&sr=1-3#Introduction in free access : https://www.di.ens.fr/users/longo/files/BaLoSingBo...

Realism, Mathematics and Modality

Fictionalism, epistemology and modality realism and anti-realism about mathematics is mathematical knowledge just logical knowledge? on conservativeness and incompleteness Platonism for cheap? - Crispin Wright on Frege's context principle c...

The Philosophy of Mathematics

Russell's logical investigations in the foundations of mathematics produced a fund of novel ideas, techniques, and possibilities. His powers of conception and exposition have made the subject an engaging area of study for generations of stu...

Solitons in Mathematics and Physics

The History of the Soliton Derivation of the Korteweg-de Vries, Nonlinear Schrodinger and Other Important and Canonical Equations of Mathematical Physics Soliton Equation Families and Solution Methods The -Function, the Hirota Method, the P...

Philosophy of Mathematics Education

This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its ov...

Mathematics of Networks

The patterns of interactions, both economic and otherwise, between individuals, groups or corporations form social networks whose structure can have a substantial effect on economic outcomes. The study of social networks and their implicati...

Mathematics Teacher Noticing

Mathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the mids...

Elements of mathematical ecology

"Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that, for the...

Mathematics in Aristotle

Elements of Mathematical Ecology

Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore mu...