Cultures of mathematics and logic : selected papers from the Conference in Guangzhou, China, November 9-12, 2012 /: selected papers from the Conference in Guangzhou, China, November 9-12, 2012. (2016)

• Record Type: Book
• Further Information: Note: Shier Ju, Benedikt Löwe, Thomas Müller, Yun Xie, editors.
• Editors: Ju, Shier; Löwe, Benedikt; Müller, Thomas; Xie, Yun
• Other Names: Conference "Cultures of Mathematics and Logic"
• Contents: Preface; Contents; What Are Mathematical Cultures?; 1 The Normative Senses of `Culture'; 2 The Descriptive/Scientific Senses of `Culture'; 3 Mathematics; 4 Hofstede; 5 Bishop; 6 Final Thoughts; Appendix: Recent Conferences on Mathematical Cultures; References; Philosophy or Not? The Study of Cultures and Practices of Mathematics ; 1 Introduction; 2 Our Community; 2.1 Subject Matter; 2.2 Research Methods; 2.3 Motivation; 2.4 Extrinsic Factors; 3 Philosophy; 4 Three Relevant Distinctions for Empirical Philosophy; 4.1 First Philosophy vs. Second Philosophy; 4.2 Empirical Methodology. 4.3 The Source of Empirical Data5 The Availability of Data; 6 Conclusion; References; Abacus as a Programming Language: Computer Science and History of Mathematics; 1 Introduction; 2 Counting Rods as an Imperative Language; 2.1 Data Structure and Variable Assignment; 2.2 Imperative Languages; 3 Abacus as a Functional Language; 3.1 Data Structure of the Abacus; 3.2 The Representability of Arithmetical Properties; 3.3 Currying Operations; 4 Pedagogical Strategies and Semantics of Programming Languages; 5 Conclusion; References; Mathematics in Engineering and Science. 1 The Nature of Mathematical Reasoning2 Some Historical Examples; 3 Computational Science: Emergence of a New Reasoning Style; References; A Fashionable Curiosity: Claudius Ptolemy's `Desire for Knowledge' in Literary Context; 1 Ptolemy Outside of Literary Context; 2 Ptolemy's `Desire for Knowledge'; 3 The Desire for Knowledge in Greek Literature: A Survey; 4 Ptolemy's Choice; 5 Ptolemy's Platonic Enthusiasm; 6 The Phaedrus in Greek Imperial Literature; 7 Ptolemy's Literary Ambition; 8 Mathematical Psychologies Prior to Ptolemy?; 9 Ptolemy's Timely Desires; References. Transmission and Interactions Among Different Types of Geometrical Argumentations: From Jesuits in China to Nam Pyŏng-Gil in Korea1 Introduction; 2 Sources and the Style of Argumentations of "Elements of Geometry" in Emperor Kangxi's Shuli jingyun; 3 Influences of the Shuli jingyun in Korea: The Case of Nam Pyŏng-Gil; 4 Concluding Remarks; References.
• Publisher Details: Switzerland : Birkhäuser
• Publication Date: 2016
• Extent: 1 online resource (ix, 123 pages), illustrations (some color)
• Subjects: 510.9; Mathematics -- History -- Congresses; Mathematics -- Philosophy -- Congresses; MATHEMATICS -- Essays; MATHEMATICS -- Pre-Calculus; MATHEMATICS -- Reference; Mathematics; Mathematics -- Philosophy; Electronic books; Conference papers and proceedings; History
• Languages: English
• ISBNs: 9783319315027; 3319315021
• Related ISBNs: 9783319315003; 3319315005
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 23, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.