Details

Autor(en) / Beteiligte

• Tieszen, Richard

Titel

Mathematical Problem-Solving and Ontology: An Exercise

Ist Teil von

• Axiomathes : quaderni del Centro studi per la filosofia mitteleuropea, 2010-09, Vol.20 (2-3), p.295-312

Ort / Verlag

Dordrecht: Springer Netherlands

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper the reader is asked to engage in some simple problem-solving in classical pure number theory and to then describe, on the basis of a series of questions, what it is like to solve the problems. In the recent philosophy of mind this “what is it like” question is one way of signaling a turn to phenomenological description. The description of what it is like to solve the problems in this paper, it is argued, leads to several morals about the epistemology and ontology of classical pure mathematical practice. Instead of simply making philosophical judgments about the subject matter in advance, the exercise asks the reader to briefly engage in a mathematical practice and to then reflect on the practice.