Infinity can throw up some interesting paradoxes, from filling Hilbert's Hotel to painting Gabriel's Trumpet... Mark Jago is a philosophy lecturer with a background in computer science.
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The money game is known as St. Petersburg Paradox it is quite famous!

Extra interview footage from this video:    • Infinity Paradoxes (extra footage)  
Counting infinities:    • Infinity is bigger than you think  N...  
Dividing by zero:    • Problems with Zero  Numberphile  

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