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 φ & - φ is satisfiable (though both φ and - φ 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. © Nicolaus Copernicus University (Toruń) 2013.

Ciuni, R., Proietti, C. (2013). The abundance of the future: A paraconsistent approach to future contingents. LOGIC AND LOGICAL PHILOSOPHY, 22(1), 21-43 [10.12775/LLP.2013.002].

The abundance of the future: A paraconsistent approach to future contingents

Ciuni R.;
2013-01-01

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 φ & - φ is satisfiable (though both φ and - φ 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. © Nicolaus Copernicus University (Toruń) 2013.
Ciuni, R., Proietti, C. (2013). The abundance of the future: A paraconsistent approach to future contingents. LOGIC AND LOGICAL PHILOSOPHY, 22(1), 21-43 [10.12775/LLP.2013.002].
File in questo prodotto:
File Dimensione Formato  
The Abundance of the Future.pdf

accesso aperto

Tipologia: Versione Editoriale (PDF)
Licenza: DRM non definito
Dimensione 643.69 kB
Formato Adobe PDF
643.69 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/402166
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact