Add to ORKGIn this paper, I suggest that infinite numbers are large finite numbers, and that infinite numbers, properly understood, are 1) of the structure omega + (omega* + omega)Ө + omega*, and 2) the part is smaller than the whole. I present an explanation of these claims in terms of epistemic limitations. I then consider the importance, part of which is demonstrating the contradiction that lies at the heart of Cantorian set theory: the natural numbers are too large to be counted by any finite number, but too small to be counted by any infinite number – there is no number of natural numbers
This thesis is devoted to examining Georg Cantor’s understanding of infinity and his philosophy of ...
A randomly selected number from the infinite set of positive integers—the so-called de Finetti lotte...
"The definitive clarification of the nature of the infinite has become necessary, not merely for the...
In this paper, I suggest that infinite numbers are large finite numbers, and that infinite numbers, ...
I have been assigned to explore the theorem stating that there is no largest (infinite) set as estab...
This dissertation is a conceptual history of transfinite set theory from the earliest results until ...
The purpose of this paper is to dissolve paradoxes of the infinite by correctly identifying the infi...
The purpose of this note is to contrast a Cantorian outlook with a non-Cantorian one and to present ...
I have been assigned to explore the theorem stating that there is no largest (infinite) set as estab...
In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infini...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
Infinity is not an easy concept. A number of difficulties that people cope with when dealing with pr...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely...
For many centuries the predominant opinion of philosophers and mathematicians was that infinite is...
This thesis is devoted to examining Georg Cantor’s understanding of infinity and his philosophy of ...
A randomly selected number from the infinite set of positive integers—the so-called de Finetti lotte...
"The definitive clarification of the nature of the infinite has become necessary, not merely for the...
In this paper, I suggest that infinite numbers are large finite numbers, and that infinite numbers, ...
I have been assigned to explore the theorem stating that there is no largest (infinite) set as estab...
This dissertation is a conceptual history of transfinite set theory from the earliest results until ...
The purpose of this paper is to dissolve paradoxes of the infinite by correctly identifying the infi...
The purpose of this note is to contrast a Cantorian outlook with a non-Cantorian one and to present ...
I have been assigned to explore the theorem stating that there is no largest (infinite) set as estab...
In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infini...
At the heart of mathematics is the quest to find patterns and order in some set of similar structures...
Infinity is not an easy concept. A number of difficulties that people cope with when dealing with pr...
When children play Superheroes and constantly try to one-up each other’s powers, it’s not unusual fo...
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely...
For many centuries the predominant opinion of philosophers and mathematicians was that infinite is...
This thesis is devoted to examining Georg Cantor’s understanding of infinity and his philosophy of ...
A randomly selected number from the infinite set of positive integers—the so-called de Finetti lotte...
"The definitive clarification of the nature of the infinite has become necessary, not merely for the...