    Course module   NWIWM040B  Category   MA (Master)  Language of instruction   English  Offered by   Radboud University; Faculty of Science; Wiskunde, Natuur en Sterrenkunde;  Lecturer(s)     Academic year   2018   Period   KW1KW2  (03/09/2018 to 27/01/2019) 
 Starting block   KW1  
 Course mode   fulltime  
 Remarks     Registration using OSIRIS   Yes  Course open to students from other faculties   Yes  Preregistration   No  Waiting list   No  Placement procedure    
     
 The student will learn to see that the question about the nature of mathematics is one of the most important questions in philosophy.
 The student will learn that meticulous mathematical thinking and philosophical contemplation can stimulate each other.


During the course we discuss: Plato's Ideas and the place of the mathematical objects, Aristotle's view, Kant's view on the nature of mathematical statements, Frege and Russell's logics, Russell's paradox, Cantor's discoveries, Brouwer's intuitionist criticism, Goedel's incompleteness thesis, Goedel's Platonism, Wittgenstein's thoughts.




The student studies various texts of choice, and is assessed about them orally. 
   Required materialsArticlesThe students will be given home texts that will be discussed in the lectures, during which one will be able to ask questions, or have discussions. 


Recommended materialsBookAlexander George and Daniel J. Velleman, Philosophies of Mathematics, Blackwell Publishers, 2002 
 BookDavid Bostock, Philosophy of Mathematics, an Introduction, WileyBlackwell, 2009. 


Instructional modesCourse occurrence General• Lectures • Preparatory readings • Student presentations (group presentations) and discussions
 Lecture
 PresentationAttendance Mandatory   Yes 
 Zelfstudie

 TestsTentamenTest weight   1 
Opportunities   Block KW2, Block KW3 


  
 
 