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The Abundance of the Future. A paraconsistent approach to Future Contingents

Proietti, Carlo LU and Ciuni, Roberto (2013) In Logic and Logical Philosophy 22(1). p.21-43
Abstract
Supervaluationism holds that the future is undetermined, and

as a consequence of this, statements about the future may be neither true nor false. In the present paper, we explore the novel and quite different view that the future is abundant: statements about the future do not lack truth-value, but may instead be glutty, that is both true and false. We will show that (1) the logic resulting from this “abundance of the future” is a non-adjunctive paraconsistent formalism based on subvaluations, which has the virtue that all classical laws are valid in it, while no formula like p ∧ ¬ p is satisfiable (though both p and ¬p may be true in a model); (2) The peculiar behaviour of abundant logical consequence has an illuminating analogy... (More)
Supervaluationism holds that the future is undetermined, and

as a consequence of this, statements about the future may be neither true nor false. In the present paper, we explore the novel and quite different view that the future is abundant: statements about the future do not lack truth-value, but may instead be glutty, that is both true and false. We will show that (1) the logic resulting from this “abundance of the future” is a non-adjunctive paraconsistent formalism based on subvaluations, which has the virtue that all classical laws are valid in it, while no formula like p ∧ ¬ p is satisfiable (though both p and ¬p may be true in a model); (2) The peculiar behaviour of abundant logical consequence has an illuminating analogy in probability logic; (3) abundance preserves some important features of classical logic (not preserved in supervaluationism) when it comes to express those important retrogradations of truth which are presupposed

by the argument de praesenti ad praeteritum. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
in press
subject
keywords
Future contingents, supervaluationism, gluts, subvaluations, retrogradation of truth
in
Logic and Logical Philosophy
volume
22
issue
1
pages
21 - 43
publisher
Nicolaus Copernicus University
ISSN
1425-3305
language
English
LU publication?
yes
id
59dc6a39-6345-4d84-b329-173b735b054c (old id 3411920)
date added to LUP
2013-01-31 14:55:10
date last changed
2016-04-16 07:04:13
@misc{59dc6a39-6345-4d84-b329-173b735b054c,
  abstract     = {Supervaluationism holds that the future is undetermined, and<br/><br>
as a consequence of this, statements about the future may be neither true nor false. In the present paper, we explore the novel and quite different view that the future is abundant: statements about the future do not lack truth-value, but may instead be glutty, that is both true and false. We will show that (1) the logic resulting from this “abundance of the future” is a non-adjunctive paraconsistent formalism based on subvaluations, which has the virtue that all classical laws are valid in it, while no formula like p ∧ ¬ p is satisfiable (though both p and ¬p may be true in a model); (2) The peculiar behaviour of abundant logical consequence has an illuminating analogy in probability logic; (3) abundance preserves some important features of classical logic (not preserved in supervaluationism) when it comes to express those important retrogradations of truth which are presupposed<br/><br>
by the argument de praesenti ad praeteritum.},
  author       = {Proietti, Carlo and Ciuni, Roberto},
  issn         = {1425-3305},
  keyword      = {Future contingents,supervaluationism,gluts,subvaluations,retrogradation of truth},
  language     = {eng},
  number       = {1},
  pages        = {21--43},
  publisher    = {ARRAY(0x90375b0)},
  series       = {Logic and Logical Philosophy},
  title        = {The Abundance of the Future. A paraconsistent approach to Future Contingents},
  volume       = {22},
  year         = {2013},
}