Add to ORKGThe mathematical continuum has a number of formulations and technical definitions. Two of these reference the geometric line and the real number system. This conceptual coupling of line and number has been an enduring source for mathematical invention and paradox. The continuum captures the monstrous desire of mathematics, a desire to re-assemble the point with the line, the discrete with the continuous, the finite with the infinite. This paper explores how the continuum is a source of fundamental ambiguity fueling our desires and fears about mathematics
In this article the initial discussion of the untenability of the distinction between “pure” and “ap...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
This thesis studies the position of mathematical realism (the position that mathematical objects hav...
© 2018 The Author(s) & Dept. of Mathematical Sciences, The University of Montana. The mathematical c...
What is so special and mysterious about the Continuum, this ancient, always topical, and alongside t...
This paper was initially submitted for the Oberwolfach special issue in which it had been accepted a...
• Measurement numbers on a two-way infinite straight line • Relative to: an origin, a unit of length...
A number of conceptions of the continuum are examined from the perspective of conceptual structurali...
In a recent article, Christopher Ormell argues against the traditional mathematical view that the re...
This paper discusses an argument for the reality of the classical mathematical continuum. An inferen...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did n...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
Cantor’s continuum problem is simply the question: How many points are there on a straight line in E...
This article attempts to broaden the phenomenologically motivated perspective of H. Weyl's Das Konti...
In this article the initial discussion of the untenability of the distinction between “pure” and “ap...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
This thesis studies the position of mathematical realism (the position that mathematical objects hav...
© 2018 The Author(s) & Dept. of Mathematical Sciences, The University of Montana. The mathematical c...
What is so special and mysterious about the Continuum, this ancient, always topical, and alongside t...
This paper was initially submitted for the Oberwolfach special issue in which it had been accepted a...
• Measurement numbers on a two-way infinite straight line • Relative to: an origin, a unit of length...
A number of conceptions of the continuum are examined from the perspective of conceptual structurali...
In a recent article, Christopher Ormell argues against the traditional mathematical view that the re...
This paper discusses an argument for the reality of the classical mathematical continuum. An inferen...
In 1891 Georg Cantor proved that there exist multiple size of infinity. In particular, the size of t...
This paper is on Aristotle's conception of the continuum. It is argued that although Aristotle did n...
his article is a follow-up to our previous article (cf. Octogon Mathematical Magazine, 2018). As we ...
Cantor’s continuum problem is simply the question: How many points are there on a straight line in E...
This article attempts to broaden the phenomenologically motivated perspective of H. Weyl's Das Konti...
In this article the initial discussion of the untenability of the distinction between “pure” and “ap...
In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,th...
This thesis studies the position of mathematical realism (the position that mathematical objects hav...