Glimpses into the world of Mathematics : a cognitive perspective / edited by Szymon Chlebowski.

Format:

Book

Contributor:

Chlebowski, Szymon, editor.

Series:

Development in Humanities Series

Development in Humanities Series ; v.18

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Physical Description:

1 online resource (144 pages)

Edition:

First edition.

Place of Publication:

Zurich, Switzerland : Lit Verlag GmbH & Co. KG, [2021]

Summary:

Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?

Contents:

Cover

Contents

Preface

Three Worlds of Mathematics Barbara Borkowicz

Basic Ideas of Intuitionism Szymon Chlebowski

The Brave Mathematical Ant Jerzy Pogonowski

Degrees of Accessibility of Mathematical Objects Jerzy Pogonowski.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

9783643963659

3643963653

OCLC:

1407314693