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Cardinality for infinite sets - Foundations of Pure Mathematics - Dr Joel Feinstein
The nineteenth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers a brief discussion of different sizes of infinity. (The video “Beyond Infinity” may also be helpful here.)
Sets with the same cardinality. Countable sets and uncountable sets defined. Connections between functions and sequences.
Countability in terms of sequences. The union of two countable sets is countable. (Proved at the start of next class.)
These videos are also available on YouTube at: https://www.youtube.com/playlist?list=PLpRE0Zu_k-BzsKBqQ-HEqD6WVLIHSNuXa
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.
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By The University of NottinghamThe nineteenth lecture in Dr Joel Feinstein's G11FPM Foundations of Pure Mathematics module covers a brief discussion of different sizes of infinity. (The video “Beyond Infinity” may also be helpful here.)
Sets with the same cardinality. Countable sets and uncountable sets defined. Connections between functions and sequences.
Countability in terms of sequences. The union of two countable sets is countable. (Proved at the start of next class.)
These videos are also available on YouTube at: https://www.youtube.com/playlist?list=PLpRE0Zu_k-BzsKBqQ-HEqD6WVLIHSNuXa
Dr Feinstein's blog may be viewed at: http://explainingmaths.wordpress.com
Dr Joel Feinstein is an Associate Professor in Pure Mathematics at the University of Nottingham.