No Magic: From Phenomenology of Practice to Social Ontology of Mathematics

Abstract The paper shows how to use the Husserlian phenomenological method in contemporary philosophical approaches mathematical practice and ontology. First, develops approach based on Husserl's writings obtain a for understanding practice. Then, put forward full-fledged ontology of mathematics, is complemented with social ontological considerations. proposed account sees objects as constructions sense that they are products culturally shared historically developed practices. At same time view endorses reality given mathematicians independence. As highly constrained, intersubjective practices accord phenomenologically clarified experience mathematicians, positing them justified. offers way build out no metaphysical magic.