1.1. Concept of Infinity and the Problem with the Thinking ParadigmWe can suppose that giving a definition for infinity is kind of pointless since everybody knowswhat it means, but we will give a formal definition. Infinity [1] is something which is boundless,endless, or larger than any natural number. Imagine counting numbers: no matter how high you count,you can always count one more, but how do we know that it is true? How do we know there is nolimit? Do we know at least one real-life example of infinity? Someone could say, ’Yes, for example, theexpansion of the universe,’ but it is a theory, which means no one has actually proved that.We will take a look at infinity from the point of view of a hypothesis. Infinity is an assumptionmade by humans and has a lot of contradictions [3] (examples of which will be presented in Chapter3). If we are being honest, if we took any other hypothesis and got a huge amount of contradictions,we would immediately conclude that the hypothesis is wrong. Then the philosophical question arises:why do humans continue to believe in that concept?Maybe it is an illusion made by our brains since we suppose our brains want to believe in the factthat we are having an unlimited amount of computational power (so assuming infinity doesn’t exist isa contradiction to this belief because it implies we are limited). Except for that, we are trusting smartphilosophers, and most people would be afraid to contradict their ideas, especially after hundreds ofyears. Now, when we are thinking about the concept of infinity, does it really make sense, or do wewant it to make sense?