PhilSci Archive

ISSUES IN THE FOUNDATIONS OF SCIENCE, I: LANGUAGES, STRUCTURES, AND MODELS

da Costa, Newton C. A. and Krause, Décio and Bueno, Otávio (2010) ISSUES IN THE FOUNDATIONS OF SCIENCE, I: LANGUAGES, STRUCTURES, AND MODELS. [Preprint]

[img]
Preview
PDF
CosKraBue_PhilSci.pdf

Download (167kB)

Abstract

In this first paper of a series of works on the foundations of science, we examine the significance of logical and mathematical frameworks used in foundational studies. In particular, we emphasize the distinction between the order of a language and the order of a structure to prevent confusing models of scientific theories (as set-theoretical structures) with first-order structures (called here order-1 structures), and which are studied in standard (first-order) model theory. All of us are, of course, bound to make abuses of language even in putatively precise contexts. This is not a problem—in fact, it is part of scientific and philosophical practice. But it is important to be sensitive to the dierent uses that structure, model, and language have. In this paper, we examine these topics in the context of classical logic; only in the last section we touch upon briefly on non-classical ones.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
da Costa, Newton C. A.
Krause, Décio
Bueno, Otávio
Keywords: Languages. Structures. Models of scientific theories.
Subjects: General Issues > Models and Idealization
Depositing User: Décio Krause
Date Deposited: 11 Sep 2010
Last Modified: 07 Oct 2010 15:20
Item ID: 5541
URI: http://philsci-archive.pitt.edu/id/eprint/5541

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item