Conceptions of the Continuum

Feferman Solomon
Language of the article : English
DOI: 10.3406/intel.2009.1737
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A number of conceptions of the continuum are examined from the perspective of conceptual structuralism, a view of the nature of mathematics according to which mathematics emerges from humanly constructed, intersubjectively established, basic structural conceptions. This puts into question the idea from current set theory that the continuum is somehow a uniquely determined concept.

the continuum structuralism conceptual structuralism basic structural conceptions Euclidean geometry Hilbertian geometry the real number system set-theoretical conceptions phenomenological conceptions foundational conceptions physical conceptions

Pour citer cet article :

Feferman Solomon (2009/1). Conceptions of the Continuum. In De Glas Michel (Eds), The Mathematical Continuum. New Conceptions, New Challenges, Intellectica, 51, (pp.169-190), DOI: 10.3406/intel.2009.1737.