Some questions regarding the "measurement" and properties of infinity.
To all you physics/math buffs out there - I've been wondering about how to "calculate" and/or deduce the relationships between infinities.
First question: Does infinity + infinity = infinity, or does it equal 2infinity?
2. Does infinity + 1 = infinity or infinity + 1 ?
3. Does infinity * infinity = infinity or infinity-squared?
4. Does infinity/infinity = infinity, or does it equal 1?
Infinity can't be added to or subtracted from. It's not an actual number, just a concept. Like the word Endless. Endless doesn't represent anything real, just an idea that can be applied to something that will never stop.
You know how a stopwatch goes like crazy with its hundredth numbers. They zip on by a hundred numbers per second. This is like infinity; it just does not stay put. You think you can add a number to it, 1 or a billion--it doesn't matter, but infinity is already way down the road. It does not stay put so you can do anything with it. + infinity, or - infinity are forever down the number line. Same goes for limits as the famous sin(x)/x. x can approach zero by moving the decimal point over to the left at the rate of a billion zeros per second--forever. It just can never equal zero, and conceptually, it never will.
What do you think is normalization? How does Hawking explain it?
1) Infinity + Infinity = Infinity
2) Infinity +1 = Infinity
3) Infinity*Infinity = Infinity
4) Infinity/Infinity is undefined.
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