Volume 10, Issue 2
Types of Infinity

William J. Cook & Michael J. Bossé

Research Journal of Mathematics & Technology., 10 (2021), pp. 32-45.

Published online: 2022-03

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  • Abstract

The concept of infinity pervades much of modern mathematics. Even elementary school students use the word infinity. However, what do we mean by infinity? While, for many infinity merely means either very large or not finite, in various contexts, the term infinity carries more information. Here we consider infinity in the contexts of cardinality (sizes of sets), ordinals (the order of numbers), and real numbers (a number system). Our aim is to introduce these various notions of infinity to interested mathematics students and whet their appetite for more. To accomplish this, we have included three online applets for readers to consider when teaching or learning about mappings from between natural and rational numbers.

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@Article{RJMT-10-32, author = {William J. and Cook and and 22763 and and William J. Cook and Michael J. and Bossé and and 22764 and and Michael J. Bossé}, title = {Types of Infinity}, journal = {Research Journal of Mathematics & Technology}, year = {2022}, volume = {10}, number = {2}, pages = {32--45}, abstract = {

The concept of infinity pervades much of modern mathematics. Even elementary school students use the word infinity. However, what do we mean by infinity? While, for many infinity merely means either very large or not finite, in various contexts, the term infinity carries more information. Here we consider infinity in the contexts of cardinality (sizes of sets), ordinals (the order of numbers), and real numbers (a number system). Our aim is to introduce these various notions of infinity to interested mathematics students and whet their appetite for more. To accomplish this, we have included three online applets for readers to consider when teaching or learning about mappings from between natural and rational numbers.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/rjmt/20365.html} }
TY - JOUR T1 - Types of Infinity AU - Cook , William J. AU - Bossé , Michael J. JO - Research Journal of Mathematics & Technology VL - 2 SP - 32 EP - 45 PY - 2022 DA - 2022/03 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/rjmt/20365.html KW - AB -

The concept of infinity pervades much of modern mathematics. Even elementary school students use the word infinity. However, what do we mean by infinity? While, for many infinity merely means either very large or not finite, in various contexts, the term infinity carries more information. Here we consider infinity in the contexts of cardinality (sizes of sets), ordinals (the order of numbers), and real numbers (a number system). Our aim is to introduce these various notions of infinity to interested mathematics students and whet their appetite for more. To accomplish this, we have included three online applets for readers to consider when teaching or learning about mappings from between natural and rational numbers.

William J. Cook & Michael J. Bossé. (2022). Types of Infinity. Research Journal of Mathematics & Technology. 10 (2). 32-45. doi:
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