AGGREGATION AND BRACKETS IN MODERN MATHEMATICS: INTRODUCTION TO LOGICALSEMIOTIC ANALYSIS
Journal Title: Δόξα / Докса. Збірник наукових праць з філософії та філології - Year 2015, Vol 2, Issue
Abstract
The article is a logical-methodological investigation in semiotic history of mathematics. It is studied in the article the history of meanings of designation of aggregation and using of brackets and other parentheses in mathematics. The term “aggregation” refers to the grouping of parts of complex symbolic math expressions, as a result of which the whole structure stands bracket in the next step as a single argument. The need for an explicit of aggregation expression occurs with the transition from a rhetorical-sinkopical algebra to the symbolical algebra. Historically and practically, such necessity arises in connection with the using of root extraction operation. Parentheses as a sign of aggregation are included in the general scientific mathematical usage only after the works of Leibniz, Bernoulli, etc. On this basis it is introduced some principal concepts of logical-semiotic analysis.
Authors and Affiliations
Taras Shiyan
«EIGHT AND A HALF», OR THE THESES FOR THE ROUND TABLE ON HERMENEUTICS, taking place under an aegis of the society «Odessa humanities tradition»
This text deals with the theses and questions to be discussed at the Round Table on Hermeneutics. The theses and questions are related to the fundamental hermeneutic concepts: text, interpretation, understanding, meaning...
THE POSTMODERN THEOLOGY OF “NEON GENESIS EVANGELION” AS A CRITICISM
This study analyzes Japanese animation series ‘Neon Genesis Evangelion’ in the context of postmodern theology as a cultural analysis and criticism. My selection of the series as a research object is motivated by Hideaki...
SILVER AGE AS SOCIO-HISTORICAL EPOCH AND CULTURAL-HISTORICAL TYPE
The article focuses on the spatio-temporal boundaries of Silver Age and the status of the culture formed in its space. The author considers Silver Age Culture shouldn’t be associated only with defined spatio-temporal coo...
THE PROBLEM OF THE RETURNING TO TRADITIONAL CHURCH SINGING IN CONTEMPORARY SOCIETY
The article makes an attempt to analyze the possibility of returning to practice the liturgical singing tradition, in particular, to the ancient chants. Secularization covered the whole church culture, touched the liturg...
IDENTIFICATION AND INTERPRETATION IN DISCOURSE ON FINE ARTS
The article is devoted to the analysis of the theoretical status and correlation of identification and interpretation procedures in the art criticism discourse. This especially concerns to the double-natured impact of th...