Mohammad Mohsen Haeri
Abstract
Recent years have seen a surge of attention to the problem of logical pluralism; most of which has been a reaction to Beall and Restall’s account of logical pluralism as the existence of more than one equally correct semantic relation of logical consequence. The underlying thesis is that the indeterminacy ...
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Recent years have seen a surge of attention to the problem of logical pluralism; most of which has been a reaction to Beall and Restall’s account of logical pluralism as the existence of more than one equally correct semantic relation of logical consequence. The underlying thesis is that the indeterminacy of the notion of validity goes beyond what the inductive-deductive distinction can precisify. The notion of deductive validity itself is indeterminate as well and this indeterminacy has its roots in the indeterminacy of the more fundamental notion of case. Cases are what make the premisses and the conclusion of an argument true; the most notable example being Tarskian models for classical logic. Deductive validity is the preservation of truth across all cases. This paper argues that unless this account of logical pluralism is supplemented with an argument in favor of the equal legitimacy of the purported cases it becomes merely a semi-controversial exposition of how different logics can be generated.
Seyed Ali Kalantari; amir karbasizadeh
Abstract
In this paper we will consider the idea of logical pluralism with emphasis on Beall and Restall's (2006) account of pluralism. We begin by specification of logical exclusivism, logical relativism and different accounts of logical pluralism and their difference with Beall and Restall's account of logical ...
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In this paper we will consider the idea of logical pluralism with emphasis on Beall and Restall's (2006) account of pluralism. We begin by specification of logical exclusivism, logical relativism and different accounts of logical pluralism and their difference with Beall and Restall's account of logical pluralism. We show that Beall and Restall believe in a kind of semantic logical pluralism according to which there are different plausible interpretations of the "case" in Traski's definition of validity. On the other hand, they also believe the so-called idea of normativity of logic. According to the idea, the notion of logical validity has normative implications for evaluation of arguments in natural language. Our key claim is that the latter claim undermines Beall and Restall's logical pluralism, that is, the normativity of logic collapses their logical pluralism into logical exclusivism. The study of different formulations of the normativity of logic is less considered on debates relating to logical pluralism. Along with considering logical normativity, we will criticize Beall and Restall's pluralism.
