Symbolic Algebra as a Semiotic System

0579156 - FLÚ 2024 RIV CH eng E - Elektronický dokument
Kvasz, Ladislav
Symbolic Algebra as a Semiotic System.
[textový soubor]. - Cham: Springer, 2023, 533 KB
Institucionální podpora: RVO:67985955
Klíčová slova: logical power * expresive power * integrative power * pictorial form * epistemic subject * symbolic algebra
Obor OECD: Philosophy, History and Philosophy of science and technology
https://doi.org/10.1007/978-3-030-19071-2_65-1

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.
Trvalý link: https://hdl.handle.net/11104/0348323