# Infinity is nonsense ?

**URL:** <https://boards.straightdope.com/t/infinity-is-nonsense/662709>\
**Category:** Great Debates\
**Created:** [July 5, 2013, 11:25am UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709 "2013-07-05T11:25:39Z")\
**Posts on this page:** 20\
**Page:** 1

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**Author:** ![MrQwertyasd](https://avatars.discourse-cdn.com/v4/letter/m/9d8465/32.png) [@MrQwertyasd](https://boards.straightdope.com/u/MrQwertyasd)\
**Post date:** [July 5, 2013, 11:25am UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/1 "2013-07-05T11:25:39Z")

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Proposition - our concepts are the result of brain activity  
Proposition - brain activity requires metabolic fuel  
Proposition - any idea of infinity requires infinite brain fuel  
Proposition - there is no infinite supply of brain fuel  
Conclusion - we cannot truly conceive of anything infinite

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**Author:** ![glee](https://avatars.discourse-cdn.com/v4/letter/g/b5a626/32.png) [@glee](https://boards.straightdope.com/u/glee)\
**Post date:** [July 5, 2013, 11:31am UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/2 "2013-07-05T11:31:53Z")

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Proposition - any idea of infinity requires infinite brain fuel  
Obviously wrong, since mathematicians have both conceived of infinity and defined it

Proposition - there is no infinite supply of brain fuel  
There’s no evidence of anything being infinite, since it’s a concept.

Conclusion - we cannot truly conceive of anything infinite  
There’s no evidence of anything being infinite, since it’s a concept.

Just because you don’t understand it, that doesn’t make it nonsense.

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**Author:** ![Francis\_Vaughan](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/francis_vaughan/32/3093_2.png) [@Francis\_Vaughan](https://boards.straightdope.com/u/Francis_Vaughan)\
**Post date:** [July 5, 2013, 11:55am UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/3 "2013-07-05T11:55:39Z")

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The line of logic implies that we cannot conceive of any form of abstraction, and can only describe by enumeration. That is an astoundingly narrow view of cognition.

> [@](#):
>
> Proposition - any idea of infinity requires infinite brain fuel

Thus this proposition would appear unsupportable.

> [@](#):
>
> Conclusion - we cannot truly conceive of anything infinite

And this uses the all time great weasel word “truly”. There may only be one true Scotsman, but conception of ideas is a little more common. If you define “truly” as meaning enumerable in thought, the argument becomes circular, and thus invalid anyway.

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**Author:** ![bob\_2](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/bob_2/32/3341_2.png) [@bob\_2](https://boards.straightdope.com/u/bob_2)\
**Post date:** [July 5, 2013, 11:56am UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/4 "2013-07-05T11:56:14Z")

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Just think of the biggest number you can imagine - and add 1

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**Author:** ![sylmar](https://avatars.discourse-cdn.com/v4/letter/s/b782af/32.png) [@sylmar](https://boards.straightdope.com/u/sylmar)\
**Post date:** [July 5, 2013, 12:06pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/5 "2013-07-05T12:06:16Z")

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> [@MrQwertyasd](#):
>
> Proposition - any idea of infinity requires infinite brain fuel

False equivocation. Thinking of a proposition is not the same as performing said activity.

ie _Thinking_ of swimming around the world requires very few actual calories.

If you wanted to perform an actual infinite task, then yes, you would need an infinite source of “fuel”.

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**Author:** ![Ludovic](https://avatars.discourse-cdn.com/v4/letter/l/7ab992/32.png) [@Ludovic](https://boards.straightdope.com/u/Ludovic)\
**Post date:** [July 5, 2013, 12:07pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/6 "2013-07-05T12:07:06Z")

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> [@bob\_2](#):
>
> Just think of the biggest number you can imagine - and add 1

It clearly equals 1.

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**Author:** ![Mangetout](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/mangetout/32/19_2.png) [@Mangetout](https://boards.straightdope.com/u/Mangetout)\
**Post date:** [July 5, 2013, 12:24pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/7 "2013-07-05T12:24:11Z")

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> [@MrQwertyasd](#):
>
> Proposition - our concepts are the result of brain activity  
> Proposition - brain activity requires metabolic fuel  
> Proposition - any idea of infinity requires infinite brain fuel  
> Proposition - there is no infinite supply of brain fuel  
> Conclusion - we cannot truly conceive of anything infinite

This is as much nonsense as saying we can’t think about zero, because it’s nothing.

Here’s why it’s false:  
Does it take 100 times as much effort to think about the number 100 as it does to think about the number 1?

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**Author:** ![CookingWithGas](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/cookingwithgas/32/485_2.png) [@CookingWithGas](https://boards.straightdope.com/u/CookingWithGas)\
**Post date:** [July 5, 2013, 12:54pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/8 "2013-07-05T12:54:48Z")

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> [@MrQwertyasd](#):
>
> Proposition - any idea of infinity requires infinite brain fuel

Clearly you have a concept of infinity to be able to write that sentence, so therefore your entire line of reasoning is self-contradictory.

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**Author:** ![jackdavinci](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/jackdavinci/32/3259_2.png) [@jackdavinci](https://boards.straightdope.com/u/jackdavinci)\
**Post date:** [July 5, 2013, 1:00pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/9 "2013-07-05T13:00:53Z")

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In the same way that we can’t “truly” conceive of a chair because we cannot imagine each of the billions of atoms that it is composed of.

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**Author:** ![Smeghead](https://avatars.discourse-cdn.com/v4/letter/s/f1d935/32.png) [@Smeghead](https://boards.straightdope.com/u/Smeghead)\
**Post date:** [July 5, 2013, 1:15pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/10 "2013-07-05T13:15:32Z")

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Any idea of a unicorn requires an actual, physical unicorn. Therefore, we cannot conceive of a unicorn.

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**Author:** ![sylmar](https://avatars.discourse-cdn.com/v4/letter/s/b782af/32.png) [@sylmar](https://boards.straightdope.com/u/sylmar)\
**Post date:** [July 5, 2013, 1:38pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/11 "2013-07-05T13:38:39Z")

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There are different classes of infinity.

You can use certain tools to rank them, but it works differently than trying to rank finite #'s.

George Cantor and limit laws would be good search terms to start with to flesh out the terms/concepts and find proofs/tools commonly used.

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**Author:** ![sylmar](https://avatars.discourse-cdn.com/v4/letter/s/b782af/32.png) [@sylmar](https://boards.straightdope.com/u/sylmar)\
**Post date:** [July 5, 2013, 1:47pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/12 "2013-07-05T13:47:42Z")

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> [@Smeghead](#):
>
> Any idea of a unicorn requires an actual, physical unicorn. Therefore, we cannot conceive of a unicorn.

Doubly so for an infinity of unicorns. Oh wait … that would be infinitely so. 😉

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**Author:** ![Chronos](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/chronos/32/134_2.png) [@Chronos](https://boards.straightdope.com/u/Chronos)\
**Post date:** [July 5, 2013, 1:58pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/13 "2013-07-05T13:58:17Z")

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It seems to me that this is the same logical flaw as in Anselm’s original ontological argument for God. Just because we can conceive of a perfect being does not mean that our conception is itself perfect. And just because we can conceive of an infinite quantity does not mean that our conception is itself infinite.

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**Author:** ![Exapno\_Mapcase](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/exapno_mapcase/32/1051_2.png) [@Exapno\_Mapcase](https://boards.straightdope.com/u/Exapno_Mapcase)\
**Post date:** [July 5, 2013, 2:05pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/14 "2013-07-05T14:05:37Z")

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Words are ridiculously slippery little things. That’s why scientists prefer math.

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**Author:** ![Bremidon](https://avatars.discourse-cdn.com/v4/letter/b/ac91a4/32.png) [@Bremidon](https://boards.straightdope.com/u/Bremidon)\
**Post date:** [July 5, 2013, 3:26pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/15 "2013-07-05T15:26:32Z")

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> [@Exapno\_Mapcase](#):
>
> Words are ridiculously slippery little things. That’s why scientists prefer math.

Math isn’t slippery? I seem to remember an active thread talking about how 1 + 2 + 4 + 8 + 16 +… = -1.

How is that not slippery?

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**Author:** ![sylmar](https://avatars.discourse-cdn.com/v4/letter/s/b782af/32.png) [@sylmar](https://boards.straightdope.com/u/sylmar)\
**Post date:** [July 5, 2013, 4:20pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/16 "2013-07-05T16:20:15Z")

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> [@Bremidon](#):
>
> Math isn’t slippery? I seem to remember an active thread talking about how 1 + 2 + 4 + 8 + 16 +… = -1.
> 
> How is that not slippery?

They were utilizing integers which are whole numbers. None of them were rounded … (Running away)

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**Author:** ![friedo](https://avatars.discourse-cdn.com/v4/letter/f/8edcca/32.png) [@friedo](https://boards.straightdope.com/u/friedo)\
**Post date:** [July 5, 2013, 4:35pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/17 "2013-07-05T16:35:21Z")

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> [@sylmar](#):
>
> Doubly so for an infinity of unicorns. Oh wait … that would be infinitely so. 😉

Is an infinite set of unicorns countable?

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**Author:** ![Prof.Pepperwinkle](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/prof.pepperwinkle/32/13627_2.png) [@Prof.Pepperwinkle](https://boards.straightdope.com/u/Prof.Pepperwinkle)\
**Post date:** [July 5, 2013, 4:38pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/18 "2013-07-05T16:38:29Z")

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Suggested reading: \*Mathematics and the Imagination/I] by Edward Kasner and James Newman. Quite accessible large section on the mathematics of infinity.

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**Author:** ![Exapno\_Mapcase](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/exapno_mapcase/32/1051_2.png) [@Exapno\_Mapcase](https://boards.straightdope.com/u/Exapno_Mapcase)\
**Post date:** [July 5, 2013, 4:45pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/19 "2013-07-05T16:45:23Z")

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> [@Bremidon](#):
>
> Math isn’t slippery? I seem to remember an active thread talking about how 1 + 2 + 4 + 8 + 16 +… = -1.
> 
> How is that not slippery?

If you read the thread closely, you saw that it was a product of extremely precise definitions and processes. Nobody simply declared that it was so.

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**Author:** ![Washoe](https://avatars.discourse-cdn.com/v4/letter/w/ecae2f/32.png) [@Washoe](https://boards.straightdope.com/u/Washoe)\
**Post date:** [July 5, 2013, 5:00pm UTC](https://boards.straightdope.com/t/infinity-is-nonsense/662709/20 "2013-07-05T17:00:59Z")

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“Look, I came here for an argument; I’m not going to just stand…”  
“Oh I’m sorry, but this is abuse.”  
“Oh, I see, well, that explains it.”  
“Ah yes, you want room 12A, just along the corridor.”

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