What is the meaning of Infinity?

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Infinity is described as an unphysical concept that lacks meaning in the universe, similar to philosophical ideas like 'nothing' or 'everything.' It is argued that unphysical models cannot be quantified and thus have no predictive power in scientific contexts. The discussion emphasizes using the term "infinite" to describe sets, such as stating "the set of natural numbers is infinite" rather than using "infinity" itself. This approach clarifies that infinity represents unbounded behavior rather than a tangible quantity. Overall, the conversation seeks to redefine how infinity is understood in both mathematical and philosophical terms.
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I have a few questions regarding infinity. Its pretty long so I thought of putting it up on my site instead of here, sorry about that.

The URL is: http://deydas.com/blog/archives/4-What-is-infinity.html .

Can anybody answer my question please?!

Thank you.
 
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I think I can simplify. Infinity is an unphysical result. That it is to say it is meaningless in this universe. It is a concept that has no counterpart in perceptual reality. Much like the concept of 'nothing' or 'everything' in philosophy. In science, unphysical models of perceptual reality are routinely disregarded. They cannot be quantified, hence have no predictive power in this universe.
 
The simplest way to grasp the definition (and like all maths that's all this is) is to only ever use the word infinite, as in not finite, instead of trying to shoe horn in "infinity" which, mathematically, is just a shorthand for behaviour that is unbounded.

Rather than say "there is an infinity of natural numbers", instead think "the set of natural numbers is infinite" ie "the set of natural numbers is not finite".
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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