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Mathematics and Reality

Stewart Shapiro • Philosophy of Science (1983)

The subject of this paper is the philosophical problem of accounting for the relationship between mathematics and non-mathematical reality. The first section, devoted to the importance of the problem, suggests that many of the reasons for e...

OPENALEX DOI: https://doi.org/10.1086/289138

A History of Mathematics: An Introduction

Jim Tattersall, Victor Katz • College Mathematics Journal (1994)

Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to the Elements 3.2 ...

OPENALEX DOI: https://doi.org/10.2307/2687626

The indispensability of mathematics

Mark Colyvan • Choice Reviews Online (2002)

Looks at the Quine–Putnam indispensability argument in the philosophy of mathematics. This argument urges us to place mathematical entities on the same ontological footing as other theoretical entities indispensable to our best scientific t...

OPENALEX DOI: https://doi.org/10.5860/choice.39-2845

Mathematical Ideas in Biology

John Maynard Smith • Cambridge University Press eBooks (1968)

This is a lucid introduction to some of the mathematical ideas which are useful to biologists. Professor Maynard Smith introduces the reader to the ways in which biological problems can be expressed mathematically, and shows how the mathema...

OPENALEX DOI: https://doi.org/10.1017/cbo9780511565144

The „Fingerprint” of the American Management in the Powerful Dynamics Concerning the Real G.D.P. from the United States of America

Gabriela OPAIT • Annals of Dunarea de Jos University. Fascicle I : Economics and Applied Informatics (2021)

The victorious spirit, which predominates in all the provinces of the United States of America, penetrates the scale of values in rise concerning the real G.D.P. The symbiosis of the progresses witnessed by the American nation along of th...

DOAJ Open Access (DOAJ) DOI: 10.35219/eai15840409181

Mathematics as a science of patterns

Michael D. Resnik • Choice Reviews Online (1998)

Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has ...

OPENALEX DOI: https://doi.org/10.5860/choice.35-4549

Where Mathematics Comes From: How the Embodied Mind Brings Mathematics into Being

Jeffrey L. Nunemacher, George P. Lakoff, Rafael E. Núñez • American Mathematical Monthly (2002)

This book is about mathematical ideas, about what mathematics means-and why. Abstract ideas, for the most part, arise via conceptual metaphor-metaphorical ideas projecting from the way we function in the everyday physical world. Where Mathe...

OPENALEX DOI: https://doi.org/10.2307/3072449

Theories of Mathematical Learning

• Routledge eBooks (2013)

Contents: Preface. Part I: P. Cobb, Sociological and Anthropological Perspectives on Mathematics Learning. P. Cobb, B. Jaworski, N. Presmeg, Emergent and Sociocultural Views of Mathematical Activity. J. Voigt, Negotiation of Mathematical Me...

OPENALEX DOI: https://doi.org/10.4324/9780203053126

Mathematics and Plausible Reasoning

George Pólya • CERN Document Server (European Organization for Nuclear Research) (1954)

This is a guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and g...

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On proof and progress in mathematics

William P.HG Thurston • Bulletin of the American Mathematical Society (1994)

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

OPENALEX Open Access DOI: https://doi.org/10.1090/s0273-0979-1994-00502-6