0000000000555645
AUTHOR
Jonathan M. Borwein
Discussions of Part I Chapters
This chapter is an opportunity for one of the authors of this book to question the other two authors in the light of issues raised in Chaps. 2– 5. It constitutes both a follow-up to discussions between authors which occurred over the writing process, and emergent issues—new discussions once the book was almost complete. Some fundamental issues are addressed, about the birth of mathematics (and its deep links with the birth of writing), the relationships between mathematics and other sciences, the interactions between conjecture and proof, and the role of visualisation and of gestures. The text is kept short in order to provoke the readers to reflect on these issues rather than for the autho…
Discussion of Issues in Chapters in Part II
This chapter is a second opportunity for one of the authors of this book to question the other authors (and a guest, Richard Noss) about matters raised in Chaps. 7– 10. It is designed as a series of questions from John, and Jon, Luc and Richard were free to answer (or not) as they deemed appropriate. The chapter ends with a short review.