Hello there everyone. A recurring thought has kept me up for a couple weeks so I finally decided to write it on paper. Could someone give me some insight on whether or not this is a logical approach this particular ideology? This is what I came up with:

A common misconception is conditioned into our thoughts that suggests that the terms infinite and infinity have interchangeable means. However, this is not always the case.

First, I am going to define the two terms. Infinity is the idea of everything, a limitless amount of numbers without restrictions. The term infinite refers to a limitless amount of possibilities within predetermined restrictions. Let me elaborate on that idea.

Lets set up a simple inequality problem, 1<X<2. It is mathematically so that there are an infinite number of possible values for X, but it is still bound by the given restrictions. X cannot be equal to 2.00001, so it's possible value cannot stretch to infinity. Therefore, X cannot be equal to everything, but rather everything within the bounds of it's predetermined restrictions.

On the contrary, lets take the Lim of x->infinity of the equation (X^2)/X. The limit is infinity, so it is not bound by any restrictions.

Therefore, we can conclude that there exists a fundamental difference between an infinite number of possibilities and infinity itself.

Again, I am looking for some criticism.

Hello there everyone. A recurring thought has kept me up for a couple weeks so I finally decided to write it on paper. Could someone give me some insight on whether or not this is a logical approach this particular ideology? This is what I came up with:

A common misconception is conditioned into our thoughts that suggests that the terms infinite and infinity have interchangeable means. However, this is not always the case.

First, I am going to define the two terms. Infinity is the idea of everything, a limitless amount of numbers without restrictions. The term infinite refers to a limitless amount of possibilities within predetermined restrictions. Let me elaborate on that idea.

Lets set up a simple inequality problem, 1<X<2. It is mathematically so that there are an infinite number of possible values for X, but it is still bound by the given restrictions. X cannot be equal to 2.00001, so it's possible value cannot stretch to infinity. Therefore, X cannot be equal to everything, but rather everything within the bounds of it's predetermined restrictions.

On the contrary, lets take the Lim of x->infinity of the equation (X^2)/X. The limit is infinity, so it is not bound by any restrictions.

Therefore, we can conclude that there exists a fundamental difference between an infinite number of possibilities and infinity itself.

Again, I am looking for some criticism.

You would probably love Cantor, if you don't already know of him.Georg Cantor - Wikipedia, the free encyclopedia

I think the word "infinity" is the noun that the adjective "infinite" is related to. True, we are using it in a slightly different way if we put lower and upper bounds on it, but as you say: there an are infinite number of solutions to that inequality. If you think of the number of solutions, that than the solutions themselves, I think you will agree that it's the same infinity. Of course "infinity" is hard to de-fine.