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Article . 2013
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Modus ponens

Authors: Cariani, Febrizio;
Abstract

This article discusses attempts to produce counterexamples to modus ponens. I open by clarifying what it means to give a counterexample to a logical principle. I then consider three types of attack on modus ponens: (i) McGee-style counterexamples in which the major premise consists of iterated conditionals (ii) Lycan-style counterexamples and (iii) objections to modus ponens based on counterexamples to modus tollens. For each kind of counterexample, I discuss the main critical responses. In the final section, I implement a formal semantics that is independently motivated: one can combine this semantics with two different definitions of logical consequence. According to one of them, modus ponens is invalid. According to the other, it is valid. Questo articolo discute vari tentativi di esibire controesempi al modus ponens. In apertura, si chiarisce cosa significhi esibire un controesempio a un principio logico. Nel resto dell’articolo si considerano tre tipologie di attacco al modus ponens: (i) i controesempi di McGee la cui premessa maggiore consiste di condizionali iterati (ii) i controesempi di Lycan e (iii) alcune obiezioni al modus ponens basate su controesempi al modus tollens. Per ogni tipologia di controesempio, si discutono le principali reazioni critiche. Nella sezione conclusiva, si implementa una semantica formale indipendentemente motivata: a questa semantica si possono abbinare due distinte definizioni di conseguenza logica. Secondo l’una, il modus ponens è invalido; secondo l’altra, valido.

Country
Italy
Related Organizations
Keywords

Lexical competence, Modality, Conditionals, Modus ponens, Condizionale, Modalità, Competenza lessicale

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green