Details

Autor(en) / Beteiligte

• Tieszen, Richard
• Hartimo, Mirja

Titel

Mathematical Realism And Transcendental Phenomenological Idealism

Ist Teil von

• Phenomenology and Mathematics, 2010, p.1-22

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper I investigate the question whether mathematical realism is compatible with Husserl’s transcendental phenomenological idealism. The investigation leads to the conclusion that a unique kind of mathematical realism that I call “constituted realism” is compatible with and indeed entailed by transcendental phenomenological idealism. Constituted realism in mathematics is the view that the transcendental ego constitutes the meaning of being of mathematical objects in mathematical practice in a rationally motivated and non-arbitrary manner as abstract or ideal, non-causal, unchanging, non-spatial, and so on. The task is then to investigate which kinds of mathematical objects, e.g., natural numbers, real numbers, particular kinds of functions, transfinite sets, can be constituted in this manner. Various types of founded acts of consciousness are conditions for the possibility of this meaning constitution.