for slideshow: click “research and talks” from the “no way!” moment in mathematics
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For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
The “No WAY!” The “No WAY!” moment in moment in
mathematicsmathematics
A Countable SetA Countable Set
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A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Countable SetA Countable Set
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
The Diagonalization The Diagonalization ArgumentArgument
Georg Cantor
1876
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The Diagonalization The Diagonalization ArgumentArgument
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Cantor’s Original ArgumentCantor’s Original Argument
Georg Cantor
1874
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Cantor’s Original ArgumentCantor’s Original Argument
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Cantor’s Original ArgumentCantor’s Original Argument
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
Cantor’s Original ArgumentCantor’s Original Argument
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
Cantor’s Original ArgumentCantor’s Original Argument
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Cantor’s Original ArgumentCantor’s Original Argument
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Cantor’s Original ArgumentCantor’s Original Argument
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Cantor’s Original ArgumentCantor’s Original Argument
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Cantor’s Original ArgumentCantor’s Original Argument
L
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
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A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
...
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
... ...
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
A Small Twist on Cantor’s Original A Small Twist on Cantor’s Original ArgumentArgument
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
L
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
L
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
L
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
L
For slideshow: click “Research and Talks” from www.calstatela.edu/faculty/mkrebs
L
Therefore theGolden Ratiois irrational.