Projects per year
Abstract
Structuralism, the view that mathematics is the science of structures, can be characterized as a philosophical response to a general structural turn in modern mathematics. Structuralists aim to understand the ontological, epistemological, and semantical implications of this structural approach in mathematics. Theories of structuralism began to develop following the publication of Paul Benacerraf’s paper ‘What numbers could not be’ in 1965. These theories include noneliminative approaches, formulated in a background ontology of sui generis structures, such as Stewart Shapiro’s ante rem structuralism and Michael Resnik’s pattern structuralism. In contrast, there are also eliminativist accounts of structuralism, such as Geoffrey Hellman’s modal structuralism, which avoids sui generis structures.
Original language  German 

Place of Publication  Oxford 
Publisher  Oxford Academic 
Number of pages  157 
Publication status  Published  31 Aug 2020 
Publication series
Series  Philosophia Mathematica: philosophy of mathematics, its learning, and its application 

Number  3 
Volume  28 
ISSN  00318019 
Austrian Fields of Science 2012
 603109 Logic
Projects
 1 Finished

Structuralism: The Roots of Mathematical Structuralism
Schiemer, G. & Kolowrat, F.
1/03/17 → 28/02/22
Project: Research funding