TY - JOUR
TI - Domestication of mathematical pathologies
AU - Pogonowski, Jerzy
TI - Domestication of mathematical pathologies
AB - 
	Certain mathematical objects are called paradoxical or pathological. Such terms have negative connotations in common usage, in psychology, and in social science. However, the situation is different in mathematics. Emergence of mathematical paradoxes or pathologies always indicates a creative moment in the process of mathematical discovery. The paper contains reflections on this creative aspect of mathematical pathologies, the process of their domestication, and the cognitive accessibility of mathematical objects. The work on this paper was sponsored by the National Scientific Center research grant 2015/17/B/HS1/02232 Extremal axioms: logical, mathematical and cognitive aspects. The paper was presented during the 11th Polish Philosophical Congress in Lublin (2019).
VL - 2020
IS - Volume 67
PY - 2020
SN - 0867-5392
C1 - 2084-3887
SP - 87
EP - 118
DO - 10.4467/20843887PI.20.004.13834
UR - https://ejournals.eu/en/journal/principia/article/oswajanie-patologii-matematycznych
KW - pathological object
KW - counterexample
KW - domestication of mathematical pathologies