Question on Infinite

[murad_math]

hmmm, could you please give some more explanations, or a clear context of the word,,,

[Pyrotex]

Well, that's the problem, don't you see? "Infinite" simply means, without end or without boundary. In mathematics, infinity has a special place. For one, it is NOT a number.

 

That's right, infinity is NOT a number. It is not a member of the integers. It is not a member of the real numbers (like 32.569). It does not follow the same rules of addition, subtraction, multiplication, division that integers and reals do.

 

You cannot just mix infinity and integers like (Infinity + 1). It really does not make mathematical sense. The concept of "one more than infinity" is senseless.

 

You have to deal with it the way Qfwfq does above by replacing infinity with "x" and then taking the limit as x approaches infinity. That makes sense. However, if you are not familiar with the elementary concepts of beginning calculus, then it may not make sense to you.

 

So, get a good book on the introduction to calculus.

[freeztar]

You cannot just mix infinity and integers like (Infinity + 1). It really does not make mathematical sense. The concept of "one more than infinity" is senseless.

 

You have to deal with it the way Qfwfq does above by replacing infinity with "x" and then taking the limit as x approaches infinity. That makes sense. However, if you are not familiar with the elementary concepts of beginning calculus, then it may not make sense to you.

 

So, get a good book on the introduction to calculus.

 

The above is a perfect explanation for why men cannot model women. :)

 

When my lover tells me she "loves me so much", I do the completely irrational retort of "I love you more". This usually goes through three of four evolving iterations until I pull out the "...infinity times 10 to the 23rd power divided by zero!". This usually ends the "competition" with rolling eyes and a slight recognition that her fiancee is a complete dork. :)

 

Nonetheless (irrationality aside), as Pyro demonstrated, infinity doesn't mean anything if you can slap a "+1" to the right of it.

[Qfwfq]

You cannot just mix infinity and integers like (Infinity + 1). It really does not make mathematical sense. The concept of "one more than infinity" is senseless.

Of course you can!

 

[math]\infty+1=\infty[/math]

 

Infinity is not a real number (though hyperreal numbers have been formalized). In the ordinary calculus of real numbers a term can be infinite (in a given limit) and these infinities may be manipulated. A separate although related concept is infinity in the sense of set cardinality ([imath]\aleph_0[/imath] etc.). There are many pitfalls to watch out for.

[Pyrotex]

Of course you can!

 

[math]infty+1=infty[/math]...

That's right, Qf.

Make me wrong! :(

Show me up! :doh:

Hurt my widdle feelings!

I just can't take it any more! :eek_big:

 

I'm gonna divide infinity by zero so many times (an infinite number of times in no time at all) that it will break your calculator way over there in Italy. :evil:

[Qfwfq]

But my robust calculator will just nonchallantly throw an infinity of DivideByZeroExceptions.

 

With cast iron feelings...

/forums/images/smilies/devilsign.gif

[Pyrotex]

But my robust calculator will just nonchallantly throw an infinity of DivideByZeroExceptions.

 

With cast iron feelings...

/forums/images/smilies/devilsign.gif

 

Wow!

 

Was your calculator made by Tuscan Instruments???

 

;)

[Qfwfq]

Yeah! :doh: And the feelings were cast by the Etruscans, on the Isle of Elba!

 

:(