國立虎尾科技大學 |

Structures and algorithms = mathematics and the nature of knowledge /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Structures and algorithms/ by Jens Erik Fenstad.
Reminder of title:	mathematics and the nature of knowledge /
Author:	Fenstad, Jens Erik.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	x, 134 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Data structures (Computer science) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-72974-9
ISBN:	9783319729749

Structures and algorithms = mathematics and the nature of knowledge /
Fenstad, Jens Erik.

Structures and algorithmsmathematics and the nature of knowledge /[electronic resource] :by Jens Erik Fenstad. - Cham :Springer International Publishing :2018. - x, 134 p. :ill., digital ;24 cm. - Logic, argumentation & reasoning,v.152214-9120 ;. - Logic, argumentation & reasoning ;v.2..

1.Preface -- 2.Introduction -- 3.Mathematics and the nature of knowledge - an introductory essay -- 4.The miraculous left hand - Leonardo and the nature of knowledge -- 5.Relationships between the social and natural sciences -- 6.Changes in the knowledge system and their implications for the formative stage of scholars -- 7.Remarks on the science and technology of language -- 8.How mathematics is rooted in life -- 9.Tarski, truth and natural languages -- 10.Formal semantics, geometry and mind -- 11.Discours, Interaction and Communication -- 12.On what there is - infinitesimals and the nature of numbers.

This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers "see" and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author's approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing "mathematics" as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what "mathematics" should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2-6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author's analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book's closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.

ISBN: 9783319729749

Standard No.: 10.1007/978-3-319-72974-9doiSubjects--Topical Terms:

527864
Data structures (Computer science)

LC Class. No.: QA76.9.D35 / F45 2018

Dewey Class. No.: 005.73

Structures and algorithms = mathematics and the nature of knowledge /
LDR:03314nam a2200325 a 4500 001 925444
003 DE-He213
005 20180311021609.0
006 m d
007 cr nn 008maaau
008 190625s2018 gw s 0 eng d
020 $a 9783319729749 $q (electronic bk.)
020 $a 9783319729732 $q (paper)
024 7 $a 10.1007/978-3-319-72974-9 $2 doi
035 $a 978-3-319-72974-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.D35 $b F45 2018
072 7 $a HPK $2 bicssc
072 7 $a PHI004000 $2 bisacsh
082 0 4 $a 005.73 $2 23
090 $a QA76.9.D35 $b F341 2018
100 1 $a Fenstad, Jens Erik. $3 904558
245 1 0 $a Structures and algorithms $h [electronic resource] : $b mathematics and the nature of knowledge / $c by Jens Erik Fenstad.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a x, 134 p. : $b ill., digital ; $c 24 cm.
490 1 $a Logic, argumentation & reasoning, $x 2214-9120 ; $v v.15
505 0 $a 1.Preface -- 2.Introduction -- 3.Mathematics and the nature of knowledge - an introductory essay -- 4.The miraculous left hand - Leonardo and the nature of knowledge -- 5.Relationships between the social and natural sciences -- 6.Changes in the knowledge system and their implications for the formative stage of scholars -- 7.Remarks on the science and technology of language -- 8.How mathematics is rooted in life -- 9.Tarski, truth and natural languages -- 10.Formal semantics, geometry and mind -- 11.Discours, Interaction and Communication -- 12.On what there is - infinitesimals and the nature of numbers.
520 $a This book explains exactly what human knowledge is. The key concepts in this book are structures and algorithms, i.e., what the readers "see" and how they make use of what they see. Thus in comparison with some other books on the philosophy (or methodology) of science, which employ a syntactic approach, the author's approach is model theoretic or structural. Properly understood, it extends the current art and science of mathematical modeling to all fields of knowledge. The link between structure and algorithms is mathematics. But viewing "mathematics" as such a link is not exactly what readers most likely learned in school; thus, the task of this book is to explain what "mathematics" should actually mean. Chapter 1, an introductory essay, presents a general analysis of structures, algorithms and how they are to be linked. Several examples from the natural and social sciences, and from the history of knowledge, are provided in Chapters 2-6. In turn, Chapters 7 and 8 extend the analysis to include language and the mind. Structures are what the readers see. And, as abstract cultural objects, they can almost always be seen in many different ways. But certain structures, such as natural numbers and the basic theory of grammar, seem to have an absolute character. Any theory of knowledge grounded in human culture must explain how this is possible. The author's analysis of this cultural invariance, combining insights from evolutionary theory and neuroscience, is presented in the book's closing chapter. The book will be of interest to researchers, students and those outside academia who seek a deeper understanding of knowledge in our present-day society.
650 0 $a Data structures (Computer science) $3 527864
650 0 $a Algorithms. $3 527865
650 0 $a Mathematics. $3 527692
650 1 4 $a Philosophy. $3 559771
650 2 4 $a Epistemology. $3 671538
650 2 4 $a Mathematical Logic and Foundations. $3 669393
650 2 4 $a Mathematical Logic and Formal Languages. $3 670059
650 2 4 $a Philosophy of Mathematics. $3 1108410
650 2 4 $a Philosophy of Language. $3 671588
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Logic, argumentation & reasoning ; $v v.2. $3 1022382
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-72974-9
950 $a Religion and Philosophy (Springer-41175)