1. Mathematical Knowledge: Intuition, Visualization, and Understanding

   • Leon Horsten
   • Irina Starikova

   OriginalPaper 13 December 2009 Pages: 1 - 2

2. The Innateness Hypothesis and Mathematical Concepts

   • Helen De Cruz
   • Johan De Smedt

   OriginalPaper 13 December 2009 Pages: 3 - 13

   

3. Mathematical Intuition and the Cognitive Roots of Mathematical Concepts

   • Giuseppe Longo
   • Arnaud Viarouge

   OriginalPaper 20 January 2010 Pages: 15 - 27

4. Intuition and Visualization in Mathematical Problem Solving

   • Valeria Giardino

   OriginalPaper 09 February 2010 Pages: 29 - 39

   

5. Why do Mathematicians Need Different Ways of Presenting Mathematical Objects? The Case of Cayley Graphs

   • Irina Starikova

   OriginalPaper 20 January 2010 Pages: 41 - 51

   

6. How Mathematical Concepts Get Their Bodies

   • Andrei Rodin

   OriginalPaper 20 January 2010 Pages: 53 - 60

   

7. How Discrete Patterns Emerge from Algorithmic Fine-Tuning: A Visual Plea for Kroneckerian Finitism

   • Ivahn Smadja

   OriginalPaper 13 December 2009 Pages: 61 - 75

   

8. How to Define a Number? A General Epistemological Account of Simon Stevin’s Art of Defining

   • Jurgen Naets

   OriginalPaper 20 January 2010 Pages: 77 - 86