Interpreting Infinity !

In Mathematics and Physics we often use the term Infinity. It’s an inevitable part of science and pointing out to infinity is sometimes the easiest way not to solve certain problems (Just Kidding) .The numbers whether it be so large or so small  we call them by +(infinity) and -(infinity) respectively.  The symbol of infinity is a “Lemniscate”. A Lemniscate in geometry is a figure in shape of eight and it refers to ” decorated with ribbons”. Even though there wasn’t a specific reason specified for the induction of this symbol in to mathematical literature by the Mathematician John Wallis, the symbol serve its purpose of explaining the concept of infinity. Infinity, in simpler terms means something so large which we can’t even imagine. In Physics, infinity is sought in Space, Time, Dimension and Division. Though very difficult practically, infinite dimensions are always part of imaginations of Physics enthusiasts.

The infinity though seem boundless and limitless, has itself two variations called Countable and Uncountable. Countable infinity as name suggests is Countable one by one , though it could take an unknown time. To feel it practically simply start counting 1,2,3,… until you are tired . ( But remember all of the numbers are countable if you are not capable though). Now, Consider counting the numbers between 1 and 2. It belongs to the later category of uncountable infinity. This will be easy to explain if we bring set theory in to the picture. Countably infinite sets means that they can be put in to one-to-one correspondence with the natural numbers. Interesting fact is that, subset and  intersection or union of countably infinite sets again results in the same. For the Uncountable infinite sets, the one-to-one correspondence as stated earlier is not possible. The basic set theory operations on the Uncountable infinite sets again could result in more and more Uncountable Infinite Sets.

After all , infinity feels to be so large and unattainable, but the fact is that all those numbers exist and are valid. It’s simply the limitation of human mind , body or the technology to perceive the exactness in their existence. However , we will continue our effort  to be more and more  closer. Think for a moment, rather than taking the concept of infinity to be mathematical , ancient Indians and Greek , interpreted Infinity Philosophically. Most of the literature have used the concept of Infinity without using mathematical terms. It’s also ironical that Indians introduced the concept of “Zero” and used the word “Ananta” and the Greeks used the word “apeiron” which means “unbounded”.

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