Benjamin Zayton MSc

2023 March, 1 - August, 30

Affiliation:  MCMP, LMU Munich

Research for a study about:

Carnap and Brandom on Subsentential Structure

Accounts of meaning that take the primary bearers of meaning to be sentences face the challenge of explaining the meaning and ubiquity of subsentential structure. Call this challenge the puzzle of subsentential structure. Solving the puzzle is important because subsentential structure seems to be necessary to account for the compositionality and productivity of language. Classical Tarskian semantics does not face this challenge: The meaning of a subsentential expression can be identified with its extension, and sentences get their truth values in virtue of how the extensions of their subsentential components are arranged. Proceeding from the notion of truth, one can then define the notion of good, i.e. truth-preserving, inference. Inferentialist accounts of language reverse this order of explanation: According to them, sentences are the primary bearers of meaning, and this meaning is given by the inferential role of the sentence, or by the rules governing its use.  Most inferentialist accounts of meaning thus have to face the puzzle. One solution to it is developed in Brandom's magnum opus Making It Explicit in the form of his argument for the existence of singular terms. However, there is earlier work devoted to similar issues: Carnap, in chapter IV of his Logical Syntax, engages in a similar project, namely in a demarcation between different kinds of subsentential structure on an inferentialist basis. The aim of my project at the IVC will be to compare these approaches and thereby provide a reevaluation of Carnap's General Syntax in light of contemporary inferentialism.

Lecture

Carnap and Brandom on Subsentential Structure

Logik Café

This talk is going to be a in-person and hybrid event, at NIG (Room 3F/DO313) 3rd floor and can be followed via online Plattform.

Date: 2023 May 23,

Time: 4.45-6.15 pm CET

Venue:   NIG, Institute of Philosophy (Room 3F/DO313) 3rd floor

Online Plattform  access:

https://univienna.zoom.us/j/99422395420?pwd=UHFySmJST3I4RDQ1WE5nL1E1SDhQZz09

 
No registered accounts are required, it's enough to click on the link and enter your name. Chrome or Firefox browsers work best.

Abstract:

Accounts of meaning that take the primary bearers of meaning to be sentences face the challenge of explaining the meaning and ubiquity of subsentential structure. Call this challenge the puzzle of subsentential structure. Solving the puzzle is important because subsentential structure seems to be necessary to account for the compositionality and productivity of language. Classical Tarskian semantics does not face this challenge: The meaning of a subsentential expression can be identified with its extension, and sentences get their truth values in virtue of how the extensions of their subsentential components are arranged. Proceeding from the notion of truth, one can then define the notion of good, i.e. truth-preserving, inference. Inferentialist accounts of language reverse this order of explanation: According to them, sentences are the primary bearers of meaning, and this meaning is given by the inferential role of the sentence, or by the rules governing its use.  Most inferentialist accounts of meaning thus have to face the puzzle. One solution to it is developed in Brandom's magnum opus Making It Explicit in the form of his argument for the existence of singular terms. However, there is earlier work devoted to similar issues: Carnap, in chapter IV of his Logical Syntax, engages in a similar project, namely in a demarcation between different kinds of subsentential structure on an inferentialist basis. In this talk, I will present and compare Carnap's and Brandom's approaches to the puzzle of subsentential structure, with an eye towards common problems and solutions to these.

Report

The fellowship at the IVC was immensely helpful in advancing my research project on Brandom and Carnap on subsentential structure, transforming it from an initial idea into a piece of research that will hopefully soon be ready for submission to a top-tier analytic philosophy journal, such as Erkenntnis or The Review of Symbolic Logic.

Let me very briefly summarise the state of my research: Both Brandom and Carnap aim to characterise subsentential structure in terms of substitution-inferential behaviour, although they pursue slightly different aims while doing so. Apart from clarifying some commonalities in their approach, as well as highlighting some methodological differences, my main insight so far is that the mathematical core of their arguments can be understood as a representation theorem for so-called substitution algebras. A substantial part of my time at the IVC was taken up by studying the involved algebraic structures and relating their arguments to extant mathematical literature. This also opened up another avenue of research, namely whether there is some link to Tarksi's reception of Carnap's syntax in this strand of the algebraic literature. Future work will aim at pursuing these insights further - explicating and proving mathematical claims and tracing historical connections.

During my stay, I profited a lot from conversations and discussions with other fellows and colleagues at the IVC. As a hub of Carnap scholarship, the IVC was the ideal place to carry out this research, with many conferences and talks at the University of Vienna adjacent to my project providing valuable inspiration. My own talk at the Logic Cafe, with a lively Q&A session after it, served as a valuable opportunity to present my work, get feedback on it, and establish further connections. It was attended not only by colleagues from the University of Vienna but also by some international visitors, such as Pavel Arazim from Charles University Prague, who invited me to give the same talk at the logic colloquium in Prague in September 2023.

After the fellowship, I will go on to pursue my PhD at the University of Vienna, as part of Georg Schiemer's ERC project "The Formal Turn - The Emergence of Formalism in Twentieth-Century Thought", with the work I did at the IVC providing valuable grounding for parts of my doctoral research.  

2023, August 30