TY - JOUR
ID - 7/2/097.vankerkhove
PY - 2012
TI - The Many Faces of Mathematical Constructivism
AU - Van Kerkhove B.
AU - Van Bendegem J. P.
N2 - Context: As one of the major approaches within the philosophy of mathematics, constructivism is to be contrasted with realist approaches such as Platonism in that it takes human mental activity as the basis of mathematical content. Problem: Mathematical constructivism is mostly identified as one of the so-called foundationalist accounts internal to mathematics. Other perspectives are possible, however. Results: The notion of “meaning finitism” is exploited to tie together internal and external directions within mathematical constructivism. The various contributions to this issue support our case in different ways. Constructivist content: Further contributions from a multitude of constructivist directions are needed for the puzzle of an integrative, overarching theory of mathematical practice to be solved.
UR - http://constructivist.info/7/2/097.vankerkhove
SN - 1782348X
JF - Constructivist Foundations
VL - 7
IS - 2
SP - 97
EP - 103
U1 - editorial
U2 - Mathematics
U3 - Mathematical Constructivism
KW - mathematical constructivism
KW - conceptualism
KW - internalism vs externalism
KW - meaning finitism
KW - mathematical practice
ER -