Projects per year
Abstract
Informally, structural properties of mathematical objects are usually characterized in one of two ways: either as properties expressible purely in terms of the primitive relations of mathematical theories, or as the properties that hold of all structurally similar mathematical objects. We present two formal explications corresponding to these two informal characterizations of structural properties. Based on this, we discuss the relation between the two explications. As will be shown, the two characterizations do not determine the same class of mathematical properties. From this observation we draw some philosophical conclusions about the possibility of a 'correct' analysis of structural properties.
Original language  English 

Pages (fromto)  295–323 
Number of pages  29 
Journal  Philosophia Mathematica: philosophy of mathematics, its learning, and its application 
Volume  26 
Issue number  3 
DOIs  
Publication status  Published  18 Oct 2018 
Austrian Fields of Science 2012
 603113 Philosophy
Projects
 1 Finished

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