We outline a class of term-languages for epistemic grounding inspired by Prawitz’s theory of grounds. We show how denotation functions can be defined over these languages, relating terms to proof-objects built up of constructive functions. We discuss certain properties that the languages may enjoy both individually (canonical closure and universal denotation) and with respect to their expansions (primitive/non-primitive and conservative/non-conservative expansions). Finally, we provide a ground-theoretic version of Prawitz’s completeness conjecture, and adapt to our framework a refutation of this conjecture due to Piecha and Schroeder-Heister.
Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds / D’Aragona, Antonio Piccolomini. - In: STUDIA LOGICA. - ISSN 0039-3215. - (2021). [10.1007/s11225-021-09969-8]
Denotational Semantics for Languages of Epistemic Grounding Based on Prawitz’s Theory of Grounds
d’Aragona, Antonio Piccolomini
2021
Abstract
We outline a class of term-languages for epistemic grounding inspired by Prawitz’s theory of grounds. We show how denotation functions can be defined over these languages, relating terms to proof-objects built up of constructive functions. We discuss certain properties that the languages may enjoy both individually (canonical closure and universal denotation) and with respect to their expansions (primitive/non-primitive and conservative/non-conservative expansions). Finally, we provide a ground-theoretic version of Prawitz’s completeness conjecture, and adapt to our framework a refutation of this conjecture due to Piecha and Schroeder-Heister.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.