You're on the right track, but haven't pursued this far enough yet.
As x get larger and larger, 1/x approaches infinity. Not equals, just approaches.
And as x gets closer and closer to zero, 1/x gets arbitrarily large. It is said to "approach infinity". Not equals, merely approaches.
The danger of the equals sign is the following:
Assume q = 1 / 0.
Then, 0 x q = 1.
This violates the property of zero, and contradicts what addition and multiplication mean (and what division means, as well!) Because of this, you can't use an equals sign along with division by zero. It's undefined.
2006-11-30 11:51:49
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answer #1
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answered by Polymath 5
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It depends how you define your mathematical system. However, basically there is no determinite answer to the division of any number by 0, so such an answer is not equal to 0, infinity or anything else. It certainly does not lead to 0 = infinity!
2006-11-30 09:55:14
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answer #2
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answered by Philosophical Fred 4
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with your logic,
infinity = 1/0
1 = 0 times infinity
(anything multiplied by 0 is 0)
therefore,
0 = 1
2006-11-30 08:24:26
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answer #3
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answered by Spiderpig 3
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You are mixing abstract concepts with normal math. Go completely abstract to understand this equation.
0 X infinity = 1 or nothing times everything makes anything.
0 X 2 = 0 2/0= infinity. 0 X infinity = 2
1 X infinity = infinity
2 X infinity = infinity
but isn't zero times anything nothing? yes. Everything is not a part of anything. Anything is a part of everything.
Zero times infinity makes anything, any number.
anything divided by everything makes nothing.
anything divided by nothing make everything
everything divided by nothing makes everything
When you use abstract concepts... use them through out. Anything can mean any number possible. Nothing means zero. Everything means the largest number possible.
Infinity is an abstract concept. Zero, infinity and one, are very powerful concepts.
infinity divided by infinity equal one.
Infinity times infinity equals infinity.
Infinity minus infinity equal zero.
Infinity plus infinity equal infinity.
Apply basic math to abstract math is similar to using Newtonian physics near the speed of light.
Many real world math problems are unsolvable. Infinity creeps in and needs to be dealt with to solve equations. Abstract algebra bridges this gap.
And no... 1 + 1 does not equal 2, but 1.99999999.... to infinity. But lets just use the symbolic 2 and call it a day. This subtle difference only creeps in to really interesting real world equations.
Math is only another language, nothing special than that.
2006-11-29 22:41:09
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answer #4
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answered by Anonymous
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Since any number multiplied by zero must be zero, any value divided by zero would be undefined. So 1/0 isn't infinity, it's an undefined number.
Now 1/infinity would approach 0, so as a limit your second equation would be true, but it would never reach 0.
2006-11-29 22:28:07
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answer #5
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answered by Anonymous 7
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That's correct.
But that doesn't mean that necessarily "0 x Infinitiy = 1".
("0 x Infinitive = 1" could also be true, but it will only be if "0" and "Infinity" have both been defined in a consistent way)
2006-11-30 11:33:30
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answer #6
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answered by R. G 2
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I guess that means "0" is part of infinity and infinity is everything.
2006-11-29 22:23:44
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answer #7
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answered by Chuck Dhue 4
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The fundamental fact is that there can only be single infinity in existence, as singularity of being, or an absolute inclusion of everything is existence. Infinity minus infinity equal infinity again; and infinity plus infinity also equals infinity. One is the identity of every thing countable by addition. There cannot be anything thing without being one. Infinity, the absolute addition of everything, therefore cannot be in existence without being one. The ultimate fact of the matter is that infinity cannot be any thing but one – an absolute singularity in existence.
The concept of infinity is not part of counting, something that comes at the end of the sequence of the countable. It is purely an abstract concept. This is where Mathematical commutations ends and philosophical conceptualisation begins.
Now, one is in every number as its identity by addition: two cannot be two without one in characteristic, and so on. One divided by zero, or one divided by nothing, will be one by its own therefore there will be only one as oneness in existence, which is the definition of infinity. And looking for the other side infinity divided by nothing is the right thing to say, as it is the fact, for there is nothing left in existence that infinity can be divided by. Upon a conceptual division, however, there will be just infinity in existence again as one singular entity. So both ways the existence of being as singularity is proved.
The ultimate fact after this discussion therefore remains the same: there is only one in existence as infinite. One divided by zero proves this; and one divided by infinity proves the same fact as well - as one divided by infinity produces countless number of possibilities – the infinity. So there is only one in existence as infinity and every thing to be something needs to be one in essence.
2006-11-30 06:46:13
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answer #8
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answered by Shahid 7
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You cannot divide by zero. It is not defined. The rest of the question is meaningless because of that.
2006-11-30 10:38:10
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answer #9
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answered by michael26260 2
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