Javascript must be enabled to continue!
Logical Form through Abstraction
View through CrossRef
Abstract
In a recent book, Logical Form: between Logic and Natural Language, Andrea Iacona argues that semantic form and logical form are distinct. The semantic form of a sentence is something that (together with the meanings of its parts) determines what it means; the logical from of a sentence is something that (all by itself) determines whether it is a logical truth. Semantic form does not depend on context but logical form does: for example, whether ‘This is this’ is a logical truth depends on whether the two occurrences of ‘this’ are used to demonstrate the same individual. I respond by claiming that logical form is indifferent to reference and is sensitive only to obligatory co-reference. When the speaker intends both occurrences of ‘this’ to be interpreted the same way the logical from of ‘This is this’ is a=a, while in a context where the speaker has no such intention it is a=b. This proposal allows a much more conservative revision of the traditional picture than the one suggested by Iacona. Instead of identifying the logical form of a natural language sentence by seeking a formalization in an artificial language, we obtain it through abstraction from its syntactic analysis: replacing the non-logical expressions by schematic letters, making sure that we use identical ones if and only if the speaker intended co-reference.
Title: Logical Form through Abstraction
Description:
Abstract
In a recent book, Logical Form: between Logic and Natural Language, Andrea Iacona argues that semantic form and logical form are distinct.
The semantic form of a sentence is something that (together with the meanings of its parts) determines what it means; the logical from of a sentence is something that (all by itself) determines whether it is a logical truth.
Semantic form does not depend on context but logical form does: for example, whether ‘This is this’ is a logical truth depends on whether the two occurrences of ‘this’ are used to demonstrate the same individual.
I respond by claiming that logical form is indifferent to reference and is sensitive only to obligatory co-reference.
When the speaker intends both occurrences of ‘this’ to be interpreted the same way the logical from of ‘This is this’ is a=a, while in a context where the speaker has no such intention it is a=b.
This proposal allows a much more conservative revision of the traditional picture than the one suggested by Iacona.
Instead of identifying the logical form of a natural language sentence by seeking a formalization in an artificial language, we obtain it through abstraction from its syntactic analysis: replacing the non-logical expressions by schematic letters, making sure that we use identical ones if and only if the speaker intended co-reference.
Related Results
Evaluating the Science to Inform the Physical Activity Guidelines for Americans Midcourse Report
Evaluating the Science to Inform the Physical Activity Guidelines for Americans Midcourse Report
Abstract
The Physical Activity Guidelines for Americans (Guidelines) advises older adults to be as active as possible. Yet, despite the well documented benefits of physical a...
High School Students’ Generalization Viewed from Logical-Mathematical Intelligence
High School Students’ Generalization Viewed from Logical-Mathematical Intelligence
Generalization is an important element in understanding, recognizing, and examining mathematical situations. Students' generalization processes can be analyzed according to Mason's...
The Relationship Between Logical Thinking And The Semester Achievement Index Of Students Of Penjas Pgri Jombang University
The Relationship Between Logical Thinking And The Semester Achievement Index Of Students Of Penjas Pgri Jombang University
Logical thinking can show a mature attitude to help choose to solve problems provided by educators for students. Because logical thinking solves problems intelligently, swiftly, de...
Abstraction in Modernism and Modernity
Abstraction in Modernism and Modernity
This book explores abstraction as a complex keyword in the intellectual life of modernity, and in artistic modernism. Collapsing the distinction between abstraction as thought and ...
Invitation or Sexual Harassment?
Invitation or Sexual Harassment?
This article aims to analyse an intercultural telephone invitation given by a Chinese tutor to an Australian student, and highlight general principles of intercultural invitations....
Abstract, ‘Abstract’: Modernist Visual Art
Abstract, ‘Abstract’: Modernist Visual Art
In surveying the discourse on abstraction in the writings of modernist painters, and of critics such as Barr and Greenberg, this chapter discerns the regular scare-quoting of ‘abst...
Staging Modernist Abstraction: Yasmina Reza, John Logan, Lee Hall
Staging Modernist Abstraction: Yasmina Reza, John Logan, Lee Hall
This chapter examines the role of painterly abstraction in three plays of the late twentieth and early twenty-first centuries: ‘Art’, Red, and The Pitmen Painters. Each play, it is...
The Force of Abstraction: Marx and Marxism
The Force of Abstraction: Marx and Marxism
This chapter surveys the contradictory work of abstraction in Marxist critical thinking since Marx. First, it explores the paradox in Marx that abstraction is both the inhuman alie...

