Grebels wrote:
It's good to have a laugh, not to take life too seriously all the time. That's how I see this discussion. So, Ok numbers are an idea, they don't have substance, not as a noun. However, when they become an adjective things become quite different. They are attached to an object. Red is real and so is one apple. Oxygen has an atomic weight of 16 and that is an essential quality, a concrete fact, not just an idea. I want you to consider the Phi number (1.618) a basic fact of science. It can be measured, but is existing, it is observed and measured in nature's spirals by mathematicians. It is crucial to various aspects of science, including the structure of atoms.
I'm not sure if this has anything to do with the OP, except if numbers are just an idea who thought them up in the first place? Is it a complete coincidence that we can take a set of Fibonacci numbers and the pairs just happen to describe that beautiful proportion, the Golden Mean?
Whether math exists or not is debated .
One camp, the math anti-realists say math is only in your mind.
One camp, the math realists, say math exists in reality.
However, contrary to the example you cite, with regards to 'infinity' there is a proof of its existence.