Advertisement

Abstract

Brouwer believed that we humans build the objects of mathematics, and thus he held that those objects are things that we finite beings can intuitively grasp. This was a problem, for mathematics is inherently infinitary (by his time infinite processes, Cantorian higher infinities and a thoroughly infinitary conception of the continuum were already at center stage), but infinite entities and infinite processes exceed our finite grasp. This dilemma — to balance infinity and human intuition — defined Brouwer’s intuitionistic career.

Keywords

Number Class Choice Sequence Continuity Theorem Legitimate Object Human Intuition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Verlag AG 2008

Authors and Affiliations

  • Carl Posy
    • 1
  1. 1.Department of PhilosophyThe Hebrew University of JerusalemIsrael

Personalised recommendations