Quote:
Originally Posted by DrRocket
Zero times infinity is perfectly OK within the usual cardinal and ordinal number systems. It is zero.
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This is common usage in, for example, measure theory. It is not universal.
Quote:
Originally Posted by DrRocket
There is no problem whatever with this.
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As per my post, I agree with that.
Quote:
Originally Posted by DrRocket
It has NOTHING to do with 1/0,
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Of course it does, capitalization notwithstanding. If you define infinity one way and apply one set of rules to it, this constrains by logical consistency your ability to apply other sets of rules to it.
Quote:
Originally Posted by DrRocket
which is simply undefined and meaningless.
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It is defined in the Riemann sphere, where zero times infinity is undefined.