Horizon (1964– )
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To Infinity and Beyond 

Large numbers hard to comprehend such as google, googleplex, graham's number and infinity and their significance in mathematics. The infinite room hotel is used to conceptualize infinitely. ... See full synopsis »

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Cast

Episode credited cast:
... Himself - Narrator
Rest of cast listed alphabetically:
Anthony Aguirre ... Himself - University of California, Santa Cruz (as Prof Anthony Aguirre)
Peter Cameron ... Himself - Queen Mary, University of London (as Prof Peter Cameron)
Gregory Chaitin ... Himself - IBM Research Division (as Dr Gregory Chaitin)
Ronald Graham ... Himself
Douglas Leonard ... Himself - San Diego State University
David Spiegelhalter ... Himself - University of Cambridge (as Prof David Spiegelhalter)
Max Tegmark ... Himself - Massachusetts Institute of Technology (as Prof Max Tegmark)
Hugh Woodin ... Himself - University of California, Berkeley (as Prof Hugh Woodin)
Doron Zeilberger ... Himself - Rutgers University (as Prof Doron Zeilberger)
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Storyline

Large numbers hard to comprehend such as google, googleplex, graham's number and infinity and their significance in mathematics. The infinite room hotel is used to conceptualize infinitely.

Infinity comes in different sizes which can be shown mathematically.

The finite size universe versus infinite size universe theory.

The infinite monkey theorem and Shakespeare. How long would it take a monkey to write Shakespeare?

Cosmic inflation theory explains the cosmic background radiation and if it is correct an infinitely expanding universe is implied. Infinitely expanding universe may also mean there are (infinite) multi-universes. In infinite universes anything happens all the time as can be different laws of physics for these other universes.

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Release Date:

10 February 2010 (UK)  »

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Infinity minus infinity equals what now?
23 October 2011 | by See all my reviews

About 59 minutes in to this documentary a white bearded gentleman suggests that infinity minus infinity is either 0 or a slippery slope. The issue I take is in the conditions he provides for this argument. "A hotel with infinite rooms with a person in each are then left empty when the occupants leave, is infinity minus infinity." Is it? Actually the rooms are still there are they not? Infinity in this case is the number description of how many rooms there are in the hotel. Occupants leaving them is not subtracting the rooms from the hotel. If I have an infinite amount of apples and then they all rot to non-existence, that would be infinity minus infinity. But not a slippery slope by any means. Also, the amount of people moving into the hotel rooms in this case does not equate to infinity + infinity unless the infinity was applied only to the occupants for the purpose of the equation. Point here is that finite and infinite are number descriptives of whatever one is applying them too, or else the conditions of what is finite or infinite. Infinite and finite are not the conditions in of themselves. Not wishing to promote dogma, I make this statement in request for a honest quantifying response or at least a better logical explanation.


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