An abstract approach to bivalence

• Authors: Woleński Jan
• Languages of publication: EN

Abstracts

EN

This paper outlines an approach to the principle of bivalence based on very general, but still elementary, semantic considerations. The principle of bivalence states that (a) “every sentence is either true or false”. Clearly, some logics are bivalent while others are not. A more general formulation of (a) uses the concept of designated and non-designated logical values and is captured by (b) “every sentence is either designated or non-designated”. Yet this formulation seems trivial, because the concept of non-designated value is negative. In order to refine the analysis, the class of anti-designated values has been distinguished. The non-trivial version of the principle of bivalence is expressed by (c) “every sentence is either designated or anti-designated”. The last part of the paper mentions some extralogical reasons for considering the principle of bivalence with truth being a designated value as intimately connected to human thinking and behavior.

Keywords

EN

logic; logical value; truth; falsehood; designated; non-designated; anti-designated

• Publisher: Uniwersytet Mikołaja Kopernika (Nicolaus Copernicus University in Toruń)
• Journal: Logic and Logical Philosophy
• Year: 2014
• Volume: 23
• Issue: 1
• Pages: 3–15

Dates

published

2014-03-01

online

2013-09-15

Contributors

author

Woleński Jan

• Institute of Philosophy, Jagiellonian University, 31-044 Kraków, Poland

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Identifiers

DOI

10.12775/LLP.2013.028