David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Synthese 175 (1):111 - 132 (2010)
In "General Information in Relevant Logic" (Synthese 167, 2009), the semantics for relevant logic is interpreted in terms of objective information. Objective information is potential data that is available in an environment. This paper explores the notion of objective information further. The concept of availability in an environment is developed and used as a foundation for the semantics, in particular, as a basis for the understanding of the information that is expressed by relevant implication. It is also used to understand the nature of misinformation. A form of relevant logic—called "LOI" for "logic of objective information"—is presented and the relationship between the justification of its proof theory and the semantics is discussed. This relationship is rather reciprocal. Intuitive features of the logic are used to interpret and justify aspects of the model theory and intuitive aspects of the model theory are used to interpret and justify features of the logic. Information conditions are presented for the connectives and the way that they fit into the theory of information is discussed
|Keywords||Philosophical logic Relevant logic Information theory Semantics|
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References found in this work BETA
Jon Barwise & John Perry (1981). Situations and Attitudes. Journal of Philosophy 78 (11):668-691.
Jc Beall & Greg Restall (2006). Logical Pluralism. Oxford University Press.
Dag Prawitz (1965/2006). Natural Deduction: A Proof-Theoretical Study. Dover Publications.
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Edwin David Mares (2004). Relevant Logic: A Philosophical Interpretation. Cambridge Univeristy Press.
Citations of this work BETA
Patrick Allo & Edwin Mares (2012). Informational Semantics as a Third Alternative? Erkenntnis 77 (2):167-185.
Edwin Mares (2012). Relevant Logic and the Philosophy of Mathematics. Philosophy Compass 7 (7):481-494.
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