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All infinaties are equal - something to think about


Randox

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If all infinaties are equal (which they are because they are all infinate) then:

 

There are infinate numbers, and because there are infinate numbers there are also infinate prime numbers. If that is true (which it is) than that means there are an = numbers of numbers (#'s) as there are prime numbers.

 

 

 

# of numbers = # of prime numbers

 

 

 

even though most numbers are not prime. Think about this for a while and you might be doing this. :wall: .

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If all infinaties are equal (which they are because they are all infinate) then:

 

There are infinate numbers, and because there are infinate numbers there are also infinate prime numbers. If that is true (which it is) than that means there are an = numbers of numbers (#'s) as there are prime numbers.

 

 

 

# of numbers = # of prime numbers

 

 

 

even though most numbers are not prime. Think about this for a while and you might be doing this. :wall: .

 

 

 

No application to knowing that though :P

 

 

 

You want to know *what* the prime numbers are, not that they're just lost in infinity

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I just posted something! ^_^ to the terrorist...er... kirbybeam.
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If all infinaties are equal (which they are because they are all infinate) then:

 

There are infinate numbers, and because there are infinate numbers there are also infinate prime numbers. If that is true (which it is) than that means there are an = numbers of numbers (#'s) as there are prime numbers.

 

 

 

# of numbers = # of prime numbers

 

 

 

even though most numbers are not prime. Think about this for a while and you might be doing this. :wall: .

 

 

 

there are an infinite amount of primes. there are an infinite amount of regular numbers. makes sense to me. infinity works in mysterious ways, youll see a lot of it once you get into calculus.

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Ehh, it just means that you're failing to simpify.

 

 

 

Like in calculus, you often get an answer that seems to be 0/0 or infinity / infinity when it really isn't. So, you have to figure out how to simplify.

 

 

 

Basically, it means your logic and equation is broken. Cause obviously since every number isn't prime, the amount of prime numbers can't equal the amount of numbers.

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

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Ehh, it just means that you're failing to simpify.

 

 

 

Like in calculus, you often get an answer that seems to be 0/0 or infinity / infinity when it really isn't. So, you have to figure out how to simplify.

 

 

 

Basically, it means your logic and equation is broken. Cause obviously since every number isn't prime, the amount of prime numbers can't equal the amount of numbers.

 

 

 

well equal is kind of weird, there are and infinite amount of both prime and regular, so its really a case of if infinity=infinity or not. which it does and doesnt.

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Ehh, it just means that you're failing to simpify.

 

 

 

Like in calculus, you often get an answer that seems to be 0/0 or infinity / infinity when it really isn't. So, you have to figure out how to simplify.

 

 

 

Basically, it means your logic and equation is broken. Cause obviously since every number isn't prime, the amount of prime numbers can't equal the amount of numbers.

 

 

 

well equal is kind of weird, there are and infinite amount of both prime and regular, so its really a case of if infinity=infinity or not. which it does and doesnt.

 

 

 

Infinity doesn't always equal infinity if it's not simplified. I'd dig up some calculus problems where infinity seeeeems to equal infinity but it doesnt, but I'm lazy. So just trust me on that one.

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

 

 

 

Math is something humans created, so in nature, its not real. :P

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

 

 

 

Math is something humans created, so in nature, its not real. :P

 

 

 

Yeah well, this is a mathematical question dealing with theoretical stuff. Which is lame, but still legal :wink:

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

 

 

 

Math is something humans created, so in nature, its not real. :P

 

 

 

What about the fibonacci sequence?

smithie3.jpg

I just posted something! ^_^ to the terrorist...er... kirbybeam.
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If all infinaties are equal (which they are because they are all infinate) then:

 

There are infinate numbers, and because there are infinate numbers there are also infinate prime numbers. If that is true (which it is) than that means there are an = numbers of numbers (#'s) as there are prime numbers.

 

 

 

# of numbers = # of prime numbers

 

The problem is that you assume that infinity takes a particular value. Something cannot actually be infinity, but it can tend to infinity, which means it is larger than any value you assign it.

 

 

 

Or, another way of thinking about it is, infinity (infinities?) are very large, but you don't know how large. So you can't really compare different infinities. That's why operations such as infinity minus infinity, infinity divided by infinity, etc. are undefined.

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Also, NOT all infinities are equal. It's quite interesting... Cantor developed the concept of infinity fairly well. Two sets that are "infinities" are the same if there is a one-to-one matchup; that is, each term in the first set corresponds to a specific term in the second set. So in the set of all odd and even natural numbers, each doubled corresponds to a specific number in the set of all even natural numbers. Thus, there is a one to one matchup, and the infinity of the set of all natural numbers is the same as the infinity of the set of all even numbers.

 

 

 

That said, there are infinitely more irrationals than rationals! The set of real numbers is a different "level" of infinity than the set of rational or natural numbers.

 

 

 

Here's a fairly easy-to-read description of the infinities, if you're interested: http://www.mathacademy.com/pr/minitext/infinity/

Everybody hug and spread the love :D

 

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

 

 

 

Math is something humans created, so in nature, its not real. :P

 

 

 

What about the fibonacci sequence?

 

 

 

you=Grade higher then me, and you lost me.

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There is no infinity, its only a theory.

 

 

 

Infinity isn't a theory, it's a mathmatical concept.

 

 

 

Its also a theory... its impossibel to reach infinity of anything.

 

 

 

Yeah, but it works in math using calculus. So mathematically, it's alright.

 

 

 

Math is something humans created, so in nature, its not real. :P

 

 

 

What about the fibonacci sequence?

 

 

 

you=Grade higher then me, and you lost me.

 

 

 

This is something we learned about years ago :P

 

 

 

1,1,2,3,5,8,13,21,34,55,89,...

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I just posted something! ^_^ to the terrorist...er... kirbybeam.
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numbers are relative, we made them up couse its handy to know how many things there are.

 

 

 

i mean animals cant really count (most of them)

not everybody wants to hear the bubblegum pop garbage.

im gonna burn in hell and drink all of satans beer.

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There is no infinity, its only a theory.

 

 

 

Keep counting. Tell me when your done. :wink:

but i could never reach infinity could i? i would eventualy die if i counted my whole life, and then the chain would end.

 

 

 

That is why infinity in reality is only a theory, can you show me something infinit? (Circles dont count, they stop and start somewhere)

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