Results 11 to 20 of about 250,870 (282)
, 2007 This essay surveys the different types of infinity that occur in pure and applied mathematics, with emphasis on: 1. the contrast between potential infinity and actual infinity; 2.
Fletcher, P
core +1 more source
Omega Position – a specific phase of perceiving the notion of infinity
Scientia in Educatione, 2015 This article describes a specific phase of the ontogenetic development of understanding infinity, called the omega position, the identification of which is one of the results of extensive research focusing on the perception of the infinity notion. Some 1
Jiří Cihlář +2 more
doaj +3 more sources
Il sublime matematico: sentimento d'infinito ai confini della ragione kantiana
CoSMO, 2016 The aim of the article is to reinterpret those pages that Kant dedicated to the mathematical sublime, connecting it to the concept of actual infinity. An assumption of the analysis is the certainty that, by including a yearning for entirety, the noumenic
Ludovica Conti
doaj +1 more source
The exact (up to infinitesimals) infinite perimeter of the Koch snowflake and its finite area [PDF]
, 2016 The Koch snowflake is one of the first fractals that were mathematically described. It is interesting because it has an infinite perimeter in the limit but its limit area is finite. In this paper, a recently proposed computational
Sergeyev, Yaroslav
core +2 more sources
Background perspectives on infinity and God
In die Skriflig, 2019 Initially the connection between divinity and infinity was accompanied by an initial notion of infinity in the literal sense of one, another one, and so on – without an end, endless. Via Anaxagoras we reach Aristotle for whom it would be contradictory to
Danie F.M. Strauss
doaj +1 more source
Continuous Data Assimilation with Stochastically Noisy Data [PDF]
, 2014 We analyze the performance of a data-assimilation algorithm based on a linear feedback control when used with observational data that contains measurement errors.
Bessaih, Hakima +2 more
core +3 more sources
Representation theory of the stabilizer subgroup of the point at infinity in Diff(S^1) [PDF]
, 2010 The group Diff(S^1) of the orientation preserving diffeomorphisms of the circle S^1 plays an important role in conformal field theory. We consider a subgroup B_0 of Diff(S^1) whose elements stabilize "the point of infinity".
Kac V. G. +3 more
core +2 more sources
Mathematics and God’s Point of View1
Studies in Logic, Grammar and Rhetoric, 2016 In this paper the final stages of the historical process of the emergence of actual infinity in mathematics are considered. The application of God’s point of view – i.e. the possibility to create mathematics from a divine perspective, i.e. from the point
Król Zbigniew
doaj +1 more source
Scientific Intuition of Genii Against Mytho-‘Logic’ of Cantor’s Transfinite ‘Paradise’
Philosophia Scientiæ, 2005 In the paper, a detailed analysis of some new logical aspects of Cantor’s diagonal proof of the uncountability of continuum is presented. For the first time, strict formal, axiomatic, and algorithmic definitions of the notions of potential and actual ...
Alexander A. Zenkin
doaj +1 more source
De la determinación del infinito a la inaccesibilidad en los cardinales transfinitos
Crítica, 2019 In this paper I deal with two problems in mathematical philosophy: the (very old) question about the nature of infinity, and the possible answer to this question after Cantor’s theory of transfinite numbers.
Carlos Álvarez J.
doaj +1 more source