Formal systems as physical objects: a physicalist account of mathematical truth

$54.97 plus tax (Refund Policy)

Buy Article:

Abstract:

This article is a brief formulation of a radical thesis. We start with the formalist doctrine that mathematical objects have no meanings; we have marks and rules governing how these marks can be combined. That's all. Then I go further by arguing that the signs of a formal system of mathematics should be considered as physical objects, and the formal operations as physical processes. The rules of the formal operations are or can be expressed in terms of the laws of physics governing these processes. In accordance with the physicalist understanding of mind, this is true even if the operations in question are executed in the head. A truth obtained through (mathematical) reasoning is, therefore, an observed outcome of a neuro-physiological (or other physical) experiment. Consequently, deduction is nothing but a particular case of induction.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/0269859031000160568

Affiliations: Theoretical Physics Research Group of the Hungarian Academy of Sciences, Department of History and Philosophy of Science, Eo¨tvo¨s Lora´nd University, Budapest, Hungary

Publication date: July 1, 2003

More about this publication?
Related content

Share Content

Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
X
Cookie Policy
ingentaconnect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more