The Possibility of Applying Traditional and Modern Aesthetical Theories to Logical and Mathematical Proofs

被引：0

作者：

Kardum, Marko ^{[1
]}

Skansi, Sandro ^{[1
]}

机构：

[1] Sveuciliste Zagrebu, Fak Hrvatskih Studija, Borongajska Cesta 83d, HR-10000 Zagreb, Croatia

来源：

FILOZOFSKA ISTRAZIVANJA | 2020年 / 39卷 / 04期

关键词：

logic; mathematics; formal proofs; mathematical beauty; aesthetical theories; NEUROAESTHETICS;

D O I：

10.21464/fi39401

中图分类号：

B [哲学、宗教];

学科分类号：

01 ; 0101 ;

摘要：

In this paper, we explore the possibility of applying traditional and modern aesthetical theories to logical and mathematical proofs, with the goal of better understanding the intuitive concept of mathematical beauty. This informal concept takes a central role in the work of logicians and mathematicians and can be thought of as their main motivation. In the present paper, we try to define concepts connected to mathematical beauty or beauty in mathematical proofs, so that we may lay the foundations for a more precise definition of mathematical beauty which would be obtained through a detailed survey among logicians and mathematicians, presented in a future paper. The present paper brings crucial results to be used for constructing the survey.

引用

页码：741 / 760

页数：20

共 42 条

[31] Modern quantum theories and experimental achievements motivate new exploration of acupuncture in traditional Chinese medicine
Xutian, Stevenson
Junion, John
JOURNAL OF ACUPUNCTURE AND TUINA SCIENCE, 2018, 16 (04) : 282 - 288
[32] STATUS AND DEVELOPMENT OF APPLYING MATHEMATICAL METHODS AND MODERN DATA PROCESSING TO GEOLOGICAL RESEARCH AND EXPLORATION IN GDR
KNAPE, H
WOERSCHI.R
ZEITSCHRIFT FUR ANGEWANDTE GEOLOGIE, 1967, 13 (04): : 171 - &
[33] Cognitive Linguistics & Chromatic Language: Applying Modern Theories of Colour Perception to the Hebrew Bible1
Lyell, Ellena C.
SCANDINAVIAN JOURNAL OF THE OLD TESTAMENT, 2021, 35 (02) : 230 - 241
[34] Acid–base chemistry of plasma: consolidation of the traditional and modern approaches from a mathematical and clinical perspective
S. Matousek
J. Handy
S. E. Rees
Journal of Clinical Monitoring and Computing, 2011, 25 : 57 - 70
[35] The milieu in the modern era. On understanding and applying a post-traditional, social space concept of the milieu
Keim, KD
BERLINER JOURNAL FUR SOZIOLOGIE, 1997, 7 (03): : 387 - &
[36] ACID-BASE CHEMISTRY OF PLASMA: CONSOLIDATION OF THE TRADITIONAL AND MODERN APPROACHES FROM A MATHEMATICAL AND CLINICAL PERSPECTIVE
Matousek, S.
Handy, J.
Rees, S. E.
JOURNAL OF CLINICAL MONITORING AND COMPUTING, 2011, 25 (01) : 57 - 70
[37] Enriching Library Holdings for English Language Learners: Applying Traditional Readability Formulas and Modern Cohesion Methods to Film
Durward M.
Organisciak P.
Proceedings of the Association for Information Science and Technology, 2023, 60 (01) : 121 - 132
[38] Modern and traditional approaches combined into an effective gray-box mathematical model of full-blood acid-base
Jezek, Filip
Kofranek, Jiri
THEORETICAL BIOLOGY AND MEDICAL MODELLING, 2018, 15
[39] Mapping by 'Ili in the Kaho'olawe Island Reserve: Applying traditional Hawaiian land divisions and management tools to modern-day marine resources management
Whitcraft, SR
Pytka, LM
OCEANS 2003 MTS/IEEE: CELEBRATING THE PAST...TEAMING TOWARD THE FUTURE, 2003, : 370 - 370
[40] The Theories of Ethnic Identity by Kanchan Chandra and of National Indifference and the Possibility of Applying Them to the Historical and Ethnological Research of the Population Heterogeneous in Terms of Language and Culture in South-Slovakian Regions and Towns
Ficeri, Ondrej
SLOVENSKY NARODOPIS-SLOVAK ETHNOLOGY, 2016, 64 (03): : 313 - 326

← 1 2 3 4 5 →