scholarly journals Introduction

2021 ◽  
pp. xiv-6
Author(s):  
Salvatore Florio ◽  
Øystein Linnebo

English and other natural languages contain plural expressions. Plural logic is based on the idea of taking these expressions at face value rather than eliminating them in favor of singular resources. This logic has great potential significance in logic, philosophy, linguistics, and beyond, but it also raises some hard questions. Three such questions will figure centrally in the book as a whole. Are primitive plural resources legitimate? If so, what is their relation to singular resources, and what is their philosophical significance?

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.


2020 ◽  
Vol 63 (8) ◽  
pp. 34-46
Author(s):  
Petr S. Kusliy

The article discusses the reasons why modern formal semantics of natural language is an integral part of a larger philosophical research program for the study of the nature of intentionality. The purpose of this article is to show how research in the field of formal semantics of natural language became the implementation of a large philosophical research program that is focused on the nature of intentional objects, which since the time of F. Brentano have been considered an integral part of mental phenomena. Mental phenomena are opposed to physical phenomena due to their inherent intentionality (being focused on an object). In modern philosophy, it is commonly considered that the comprehension of the nature of intentionality is the key to understanding the nature of consciousness, and, consequently, the nature of man. The article shows that formal semantics represents the structure of the meaning of linguistic expressions, with the help of which human thought is formed, which is one of the main objects of intentional consciousness. In formal semantics, this representation is carried out in a rigorous, systematic, and empirically verifiable way on the basis of natural languages, that is, on those symbolic systems that real people use in real practice to shape their thoughts. The research is based on the works of G. Frege, who laid the foundation for the formal-semantic methodology. Thus, the answer is given to the question of why modern formal linguistics, which originates in the analytical philosophy of the 20th century, is a philosophically significant discipline. This response is a reaction to the objections of skeptics who believe that modern analytic philosophy cannot be considered a direction that has any serious philosophical significance.


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.


1983 ◽  
Vol 48 (3) ◽  
pp. 744-751
Author(s):  
Hirokazu Nishimura

In spite of the philosophical significance of higher-order modal logic, the modal logician's main concern has been with sentential logic. In this paper we do not intend to go into philosophical details, but we only remark that higher-order modal logic has a close relationship with Montague's well-known idea of “universal grammar”, which is an ambitious attempt to build a logical theory of natural languages with exact syntax and semantics, comparable with the artificial languages of mathematical logic. For this matter, the reader can consult, e.g., Montague [8], [9] and Gallin [2].


Author(s):  
Josh Dever

The question of whether natural languages have compositional semantics continues to attract considerable interest, as do questions about the reasons for wanting compositionality, the consequences of compositionality, and the very formulation of the principle of compositionality. This article begins by developing a precise definition of compositionality. In this article some technical consequences of that definition are explored. The article then examines two compositionally problematic semantic phenomena, and proposes compositional treatments thereof. The last section closes by asking why one might want a compositional meaning theory, and attempting to explain the philosophical significance of compositionality.


1983 ◽  
Vol 26 (1) ◽  
pp. 2-9 ◽  
Author(s):  
Vincent J. Samar ◽  
Donald G. Sims

The relationship between the latency of the negative peak occurring at approximately 130 msec in the visual evoked-response (VER) and speechreading scores was investigated. A significant product-moment correlation of -.58 was obtained between the two measures, which confirmed the fundamental effect but was significantly weaker than that previously reported in the literature (-.90). Principal components analysis of the visual evoked-response waveforms revealed a previously undiscovered early VER component, statistically independent of the latency measure, which in combination with two other components predicted speechreading with a multiple correlation coefficient of S4. The potential significance of this new component for the study of individual differences in speechreading ability is discussed.


Discourse ◽  
2020 ◽  
Vol 6 (3) ◽  
pp. 109-117
Author(s):  
O. M. Polyakov

Introduction. The article continues the series of publications on the linguistics of relations (hereinafter R–linguistics) and is devoted to an introduction to the logic of natural language in relation to the approach considered in the series. The problem of natural language logic still remains relevant, since this logic differs significantly from traditional mathematical logic. Moreover, with the appearance of artificial intelligence systems, the importance of this problem only increases. The article analyzes logical problems that prevent the application of classical logic methods to natural languages. This is possible because R-linguistics forms the semantics of a language in the form of world model structures in which language sentences are interpreted.Methodology and sources. The results obtained in the previous parts of the series are used as research tools. To develop the necessary mathematical representations in the field of logic and semantics, the formulated concept of the interpretation operator is used.Results and discussion. The problems that arise when studying the logic of natural language in the framework of R–linguistics are analyzed. These issues are discussed in three aspects: the logical aspect itself; the linguistic aspect; the aspect of correlation with reality. A very General approach to language semantics is considered and semantic axioms of the language are formulated. The problems of the language and its logic related to the most General view of semantics are shown.Conclusion. It is shown that the application of mathematical logic, regardless of its type, to the study of natural language logic faces significant problems. This is a consequence of the inconsistency of existing approaches with the world model. But it is the coherence with the world model that allows us to build a new logical approach. Matching with the model means a semantic approach to logic. Even the most General view of semantics allows to formulate important results about the properties of languages that lack meaning. The simplest examples of semantic interpretation of traditional logic demonstrate its semantic problems (primarily related to negation).


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.


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