Table of Contents

Part I. Where is Mathematics?.- Chapter 1: Mathematics in Eternity.- Chapter 2: Mathematics in Nature.- Chapter 3: Mathematics in Mind.- Part II: How Certain is Mathematics?.- Chapter 4: A Solid House of Cards.- Chapter 5: The Magnificent Disaster.- Chapter 6: Mathematics without Content.- Part III: How Social is Mathematics?.- Chapter 7: Mathematics as Intuition.- Chapter 8: Mathematics as Dialogue.- Chapter 9: Mathematics as Grammar.- Part VI: How Good is Mathematics?.- Chapter 10: Beyond the isolation of Mathematics.- Chapter 11: Beyond the Neutrality of Mathematics.- Chapter 12: What is the Philosophy of Mathematics?

About the Author

Ole Ravn is currently professor in the Department of Learning and Philosophy at Aalborg University, where he also earned his PhD. His dissertation was titled "Exploring the Borderland. A study on Reflections in University Science Educations". His research interests include philosophical and cross-disciplinary perspectives on mathematics and science. He has contributed to the field of philosophy and education of mathematics, emphasizing the post-modern conditions for knowledge production and the socio-cultural construction of mathematic in general. Ole Ravn has engaged in research and published also in the fields to do with interdisciplinarity, problem-based learning and the construction of knowledge in collaborative learning processes.

Ole Skovsmose has a Master’s Degree 1975 from the University of Copenhagen,. Ph.D 1982 from the Royal Danish School of Educational Studies, and Dr.scient 1995 from Aalborg University. From 1982 he has been associateprofessor at Aalborg University. From 1996 professor in mathematics education at The Royal Danish School of Educational Studies. During the period 1998-2004, appointed special professor at Nottingham University. Professor at Aalborg University 1999-2009, now professor emeritus. He has a special interest in critical mathematics education and the philosophy of mathematics. He has explored the notions of landscape of investigation, mathematics in action, students’ foreground, and ghettoising. He has been professor at Department of Education, Learning and Philosophy, Aalborg University, Denmark, but is now retired and is living most of his time in Brazil.