## Mathematical Descriptions

### Authors

Bernard Linsky and Edward N. Zalta
### Reference

*Philosophical Studies*, 176/2 (2019): 473–481.

### Abstract

In this paper, the authors briefly summarize how object theory uses
definite descriptions to identify the denotations of the individual
terms of theoretical mathematics and then further develop their
object-theoretic philosophy of mathematics by showing how it has the
resources to address some objections recently raised against the
theory. Certain ‘canonical’ descriptions of object theory,
which are guaranteed to denote, correctly identify mathematical
objects for each mathematical theory *T*, independently of how
well someone understands the descriptive condition. And to have a
false belief about some particular mathematical object is not to have
a true belief about some different mathematical object.

[Preprint available online in PDF]