Mid-plural logic

Plural Logic ◽  
2013 ◽  
pp. 207-232
Author(s):  
Alex Oliver ◽  
Timothy Smiley
Keyword(s):  
Author(s):  
Alexander R. Pruss ◽  
Joshua L. Rasmussen

A classic argument from contingency is presented in the language of contemporary plural logic. Included are several independent supports for the principle of explanation that drives the argument. The argument is tested with the instrument of objections. Thus, historical objections from Hume and Kant are examined, and then a series of more recent objections to arguments from contingency is considered. Objections include various reasons to doubt, or hesitate to accept, the principle of explanation. Whether the argument could be sound even if there were an infinite regress of causes is carefully considered. The chapter closes by citing both strengths and weaknesses of the argument.


2021 ◽  
pp. 150-173
Author(s):  
Salvatore Florio ◽  
Øystein Linnebo

Plural logic is widely assumed to have two important virtues: ontological innocence and determinacy. Both assumptions are problematic, as is shown by providing a Henkin-style semantics for plural logic that does not resort to sets but takes a plural term to have plural reference. This semantics gives rise to a generalized notion of ontological commitment, which is used to develop some ideas of earlier critics of the alleged ontological innocence of plural logic.


2006 ◽  
Vol 15 (1) ◽  
pp. 79-93 ◽  
Author(s):  
O. Linnebo
Keyword(s):  

Plural Logic ◽  
2013 ◽  
pp. 233-244
Author(s):  
Alex Oliver ◽  
Timothy Smiley
Keyword(s):  

Plural Logic ◽  
2013 ◽  
pp. 105-118
Author(s):  
Alex Oliver ◽  
Timothy Smiley
Keyword(s):  

Author(s):  
Salvatore Florio ◽  
David Nicolas

Abstract In linguistics, the dominant approach to the semantics of plurals appeals to mereology. However, this approach has received strong criticisms from philosophical logicians who subscribe to an alternative framework based on plural logic. In the first part of the article, we offer a precise characterization of the mereological approach and the semantic background in which the debate can be meaningfully reconstructed. In the second part, we deal with the criticisms and assess their logical, linguistic, and philosophical significance. We identify four main objections and show how each can be addressed. Finally, we compare the strengths and shortcomings of the mereological approach and plural logic. Our conclusion is that the former remains a viable and well-motivated framework for the analysis of plurals.


2021 ◽  
pp. 122-150
Author(s):  
Salvatore Florio ◽  
Øystein Linnebo

Plural logic provides an appealing framework for the regimentation of natural language plurals. However, the choice of a regimenting language leaves wide open the semantic question of how this language should be interpreted. One option is to interpret a plural term as denoting a non-empty set. Another is to embrace plurals in the metalanguage and take a plural term to have plural reference. A detailed comparison of the options reveals that there is no simple solution to the problem of choosing among them.


2021 ◽  
pp. 8-30
Author(s):  
Salvatore Florio ◽  
Øystein Linnebo

Plural logic is a logical system in which plural terms and predicates figure as primitive expressions alongside the singular resources of ordinary first-order logic. The philosophical significance of this system depends on two of its alleged features: being pure logic and providing more expressive power than first-order logic. This chapter first introduces the language and axioms of plural logic and then analyzes this logic’s main philosophical applications in metaphysics, philosophy of mathematics, and semantics.


Sign in / Sign up

Export Citation Format

Share Document