What Are Structural Properties?†

Philosophia Mathematica 26 (3):295-323 (2018)
Download Edit this record How to cite View on PhilPapers
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.
No keywords specified (fix it)
PhilPapers/Archive ID
Upload history
Archival date: 2017-06-29
View other versions
Added to PP index

Total views
128 ( #36,440 of 2,427,866 )

Recent downloads (6 months)
16 ( #39,789 of 2,427,866 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.