The goal of this paper is to introduce the reader to the distinction between intensional and extensional as a distinction between different approaches to meaning. We will argue that despite the common belief, intensional aspects of mathematical notions can be, and in fact have been successfully described in mathematics. One that is for us particularly interesting is the notion of deduction as depicted in general proof theory. Our considerations result in defending a) the importance of a rule-based semantical approach and b) the position according to which non-reductive and somewhat circular explanations play an essential role in describing intensionality in mathematics.
TY - JOUR
AU - Maksimović, Katarina
PY - 2020
UR - http://reff.f.bg.ac.rs/handle/123456789/3149
AB - The goal of this paper is to introduce the reader to the distinction between intensional and extensional as a distinction between different approaches to meaning. We will argue that despite the common belief, intensional aspects of mathematical notions can be, and in fact have been successfully described in mathematics. One that is for us particularly interesting is the notion of deduction as depicted in general proof theory. Our considerations result in defending a) the importance of a rule-based semantical approach and b) the position according to which non-reductive and somewhat circular explanations play an essential role in describing intensionality in mathematics.
PB - Univerzitet u Novom Sadu - Filozofski fakultet - Odsek za filozofiju, Novi Sad
T2 - Journal of Philosophy ARHE
T1 - Facets of intensionality
EP - 83
IS - 34
SP - 61
VL - 27
DO - 10.19090/arhe.2020.34.61-83
ER -
@article{
author = "Maksimović, Katarina",
year = "2020",
abstract = "The goal of this paper is to introduce the reader to the distinction between intensional and extensional as a distinction between different approaches to meaning. We will argue that despite the common belief, intensional aspects of mathematical notions can be, and in fact have been successfully described in mathematics. One that is for us particularly interesting is the notion of deduction as depicted in general proof theory. Our considerations result in defending a) the importance of a rule-based semantical approach and b) the position according to which non-reductive and somewhat circular explanations play an essential role in describing intensionality in mathematics.",
publisher = "Univerzitet u Novom Sadu - Filozofski fakultet - Odsek za filozofiju, Novi Sad",
journal = "Journal of Philosophy ARHE",
title = "Facets of intensionality",
pages = "83-61",
number = "34",
volume = "27",
doi = "10.19090/arhe.2020.34.61-83"
}
Maksimović, K.. (2020). Facets of intensionality. in Journal of Philosophy ARHE
Univerzitet u Novom Sadu - Filozofski fakultet - Odsek za filozofiju, Novi Sad., 27(34), 61-83.
https://doi.org/10.19090/arhe.2020.34.61-83
Maksimović K. Facets of intensionality. in Journal of Philosophy ARHE. 2020;27(34):61-83.
doi:10.19090/arhe.2020.34.61-83 .
Maksimović, Katarina, "Facets of intensionality" in Journal of Philosophy ARHE, 27, no. 34 (2020):61-83,
https://doi.org/10.19090/arhe.2020.34.61-83 . .
