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The design of mathematical language

Avigad, Jeremy (2021) The design of mathematical language. [Preprint]

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Abstract

As idealized descriptions of mathematical language, there is a sense in which formal systems specify too little, and there is a sense in which they specify too much. They are silent with respect to a number of features of mathematical language that are essential to the communicative and inferential goals of the subject, while many of these features are independent of a specific choice of foundation. This chapter begins to map out the design features of mathematical language without descending to the level of formal implementation, drawing on examples from the mathematical literature and insights from the design of computational proof assistants.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Avigad, Jeremyavigad@cmu.edu0000-0003-1275-315X
Keywords: mathematical language, formalization, proof assistants
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics > Proof
Specific Sciences > Mathematics > Values
Depositing User: Prof. Jeremy Avigad
Date Deposited: 30 Aug 2021 16:22
Last Modified: 30 Aug 2021 16:22
Item ID: 19508
Subjects: Specific Sciences > Mathematics > Epistemology
Specific Sciences > Mathematics > Explanation
Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > Logic
Specific Sciences > Mathematics > Methodology
Specific Sciences > Mathematics > Ontology
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics > Proof
Specific Sciences > Mathematics > Values
Date: 29 August 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19508

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