Think Infinite and not the finite

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Discussion Overview

The discussion revolves around the concept of infinity, exploring various perceptions and reactions to it. Participants touch on mathematical implications, psychological aspects, and cultural references related to infinity, with a mix of humor and serious contemplation.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants suggest that fear of infinity stems from a lack of understanding, particularly among those not familiar with mathematical concepts.
  • One participant humorously notes that infinity is just a "fallen 8," indicating a lighthearted view of the concept.
  • Concerns are expressed about the cardinality of sets, with some participants questioning whether the class of cardinal numbers can be contained within a set, hinting at paradoxes in set theory.
  • Another participant reflects on the natural fear of infinity, linking it to the incomprehensibly small size of elementary particles and the incomprehensibly large speed of light.
  • There is a discussion about the general human inability to grasp scales, particularly in relation to probabilities and exponential growth.
  • One participant shares a personal anecdote about lottery tickets, suggesting that while some may not fear infinity, they engage in risk-benefit analysis that reflects a misunderstanding of probabilities.

Areas of Agreement / Disagreement

The discussion contains multiple competing views regarding the nature of infinity and its implications, with no consensus reached on whether fear of infinity is justified or merely a misunderstanding.

Contextual Notes

Participants express various assumptions about mathematical concepts, particularly regarding cardinality and the nature of infinity, without resolving the underlying complexities or paradoxes involved.

ElectroPhysics
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Why every one is so afraid from the term infinity?
 
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Because it has three eyes?
 
Naah, it is scaly and green and lives in a swamp.
Besides, it slurps a lot.
 
I'm not a big fan of the cars and their commercials really get on my nerves.
 
russ_watters said:
I'm not a big fan of the cars and their commercials really get on my nerves.


Not as bad as the Sport Ka commercial where the car cut the head off a cat with the sun roof.
 
russ_watters said:
I'm not a big fan of the cars and their commercials really get on my nerves.

The car is infiniti not infinity :smile: :smile:

I wouldn't mind owning a G35 though :approve:
 
ElectroPhysics said:
Why every one is so afraid from the term infinity?

because they don't understand it. math people are used to it though so they aren't afraid.

"in math you don't understand things, you just get used to them." -- john von neumann
 
Only a few cardinalities cause me concern. The cardinality of the set of all cardinalities bothers me a lot.
 
For good reason, I think. I'd imagine the class of cardinal numbers can't "fit" into a set.

(I know this is a paradox when dealing with the ordinal numbers -- it's even named after someone! The class of cardinal numbers is less well-behaved, I can't be sure it's a paradox for there to be a set of cardinal numbers)
 
  • #10
Hurkyl said:
For good reason, I think. I'd imagine the class of cardinal numbers can't "fit" into a set.

(I know this is a paradox when dealing with the ordinal numbers -- it's even named after someone! The class of cardinal numbers is less well-behaved, I can't be sure it's a paradox for there to be a set of cardinal numbers)

:cry: :cry: :cry: It's even worse than I thought!

I'm afraid.
 
  • #11
I reckon the "fear of infinity" is a pretty natural thing, for humans. Most of us live in a world where the size of elementary particlesis incomprehensibly small, and the speed of light is incomprehensibly large.

Even when we can quantitise these factors in terms of things which are familiar to us, their respective orders are so small/big that they can get the better of us sometimes.
 
  • #12
If you're talking about a sense of scale, it's pretty clear that people generally lack that even in more "human" cases. For example, if something has a one in a million chance of happing each day, how many people do you think would agree that it happens once a day in Detroit? (On average)

I've heard it stated that one of mankind's greatest inadequacies is that we don't fathom just how fast the exponential function grows.
 
  • #13
Honestly, this is the first time I've ever heard of such a fear. :confused: What's to fear? It's just a fallen 8. :biggrin:
 
  • #14
Moonbear said:
It's just a fallen 8.



So sheltered, so deluded, yet so content... :wink:
 
  • #15
brewnog said:
So sheltered, so deluded, yet so content... :wink:

No kidding, like anyone's afraid of aleph-0. :rolleyes:

Risk benefit analysis agrees that it makes sense to buy one lottery ticket now and again. Proof of Hurkyl's point is found every time that someone buys more than one ticket.

Oh yes, for anyone who remembers, it seems that my cousin really didn't win the lottery twice. Instead, grandma's [not my grandma] bank account was raided twice. :eek: I should have guessed when they claimed to win a second time! :rolleyes: About $100K all totalled I think. Grandma is in a home, you see.
 

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