Barton, Neil (2018) Absence Perception and the Philosophy of Zero. [Preprint]

Preview

Text Absence_Perception_Philosophy_Zero (2).pdf Download (274kB) | Preview

Abstract

Zero provides a challenge for philosophers of mathematics with realist inclinations. On the one hand it is a bona fide cardinal number, yet on the other it is linked to ideas of nothingness and non-being. This paper provides an analysis of the epistemology and metaphysics of zero. We develop several constraints and then argue that a satisfactory account of zero can be obtained by integrating (i) an account of numbers as properties of collections, (ii) work on the philosophy of absences, and (iii) recent work in numerical cognition and ontogenetic studies.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Barton, Neil bartonna@gmail.com 0000-0002-3637-1730
Keywords:	zero, absence perception, number cognition
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics
Depositing User:	Dr. Neil Barton
Date Deposited:	22 Apr 2019 13:38
Last Modified:	22 Apr 2019 13:38
Item ID:	15925
Subjects:	Specific Sciences > Mathematics > Epistemology Specific Sciences > Mathematics > Ontology Specific Sciences > Mathematics
Date:	2018
URI:	https://philsci-archive.pitt.edu/id/eprint/15925

Available Versions of this Item

• Absence Perception and the Philosophy of Zero. (deposited 06 May 2018 15:34)
  • Absence Perception and the Philosophy of Zero. (deposited 22 Apr 2019 13:38) [Currently Displayed]

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item