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Handbook of the History and Philosophy of Mathematical Practice
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SYSNO ASEP 0619031 Document Type M - Monograph Chapter R&D Document Type The record was not marked in the RIV Title Symbolic Algebra as a Semiotic System Author(s) Kvasz, Ladislav (FLU-F) RID, ORCID, SAI Source Title Handbook of the History and Philosophy of Mathematical Practice. - Cham : Springer, 2024 / Sriraman B. - ISBN 978-3-031-40845-8 Pages s. 3101-3133 Number of pages 33 s. Number of pages 3269 Publication form Print - P Language eng - English Country CH - Switzerland Keywords logical power ; expresive power ; integrative power ; pictorial form ; epistemic subject ; symbolic algebra Subject RIV AA - Philosophy ; Religion OECD category Philosophy, History and Philosophy of science and technology Institutional support FLU-F - RVO:67985955 EID SCOPUS 85206641356 DOI https://doi.org/10.1007/978-3-031-40846-5_65 Annotation The invention of symbolic algebra in the sixteenth and seventeenth centuries fundamentally changed the way we do mathematics. If we want to understand this change and appreciate its importance, we must analyze it on two levels. One concerns the compositional function of algebraic symbols as tools for representing complexity, the other concerns the referential function of algebraic symbols, which enables their use as tools for describing objects (such as polynomials), properties (such as irreducibility), relations (such as divisibility), and operations (such as factorization). The reconstruction of both the compositional function and the referential function of algebraic symbols requires the use of different analytic tools and the taking of different temporal perspectives. In this chapter, we offer both: a reconstruction of the compositional function of algebraic symbols, and a reconstruction of their referential function. Workplace Institute of Philosophy Contact Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360 Year of Publishing 2026
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