Can you measure something that is infinite?
Infinity is not a real number, it is an idea. An idea of something without an end. Infinity cannot be measured.
What is the measure of an infinite set?
Therefore, although the set of rational numbers is infinite, their measure is 0.
Can an actual infinity exist?
In the context of a number system, in which “infinity” would mean something one can treat like a number. In this context, infinity does not exist. So there does not exist any one single “infinity” concept; instead, there exists a whole collection of things called “infinite cardinal numbers”.
Is finite set measurable?
A finite set is a countable set. So you instantly get that the result carries over to finite sets. and since ϵ is arbitrary, we see that m∗({1,2,3})=0. Since it has measure zero it is measurable.
How do you explain infinity to a 4 year old?
Infinity goes on forever, so sometimes space, numbers, and other things are said to be ‘infinite’, because they never come to a stop. Infinity is not really an ordinary number, but it is sometimes used as one. Infinity often says how many there is of something, instead of how big something is.
Is everything knowable that can’t be measured?
It’s a mantra for many scientists, not to mention many business managers, that if you can’t measure it, it’s not real. On the other hand, I’ve been told by a lot of people, mostly non-scientists, and occasionally humanistic scholars including philosophers, that not everything knowable is measurable.
Would we be capable of perceiving something that is infinite?
Would we be capable of perceiving something that is infinite. If we go on perceiving, and at some point, run out of the ability of perceiving it, does it mean that it is infinite, or not infinite. But from our limited standpoint, we cannot pronounce that it is finite. So, it could be infinite.
Can there be an infinite number?
Naturally in mathematics we can have infinity, numbers go on for ever, but numbers are not real, they are abstract. I cannot imagine anything ‘real’ that we could apply an infinite number to.
Is it worth it to measure something?
Hubbard spends a lot of time in the early parts of his book discussing how to figure out the value of information to decide if the costs of measuring something is worth it. In many cases, precise measurement may not be practical, but not all measurements must be precise in order to be useful.