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Symbolic Algebra as a Semiotic System

SYSNO ASEP	0579156
Document Type	E - Electronic Document
R&D Document Type	R&D Presentation (audio-visual, electronic documents. Documents released only in a form readable by a computer (eg . documents released on CD only), available only via the Internet, WEB presentation.
Title	Symbolic Algebra as a Semiotic System
Author(s)	Kvasz, Ladislav (FLU-F)_{RID, ORCID, SAI}
Issue data	Cham: Springer, 2023
ISBN	978-3-030-19071-2
Publication form	Online - E
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
DOI	https://doi.org/10.1007/978-3-030-19071-2_65-1
Annotation	The invention of symbolic algebra in the 16th and 17th 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	2024
Electronic address	https://doi.org/10.1007/978-3-030-19071-2_65-1

Number of the records: 1