Bernard wrote:Tetchy tetchy me says that finite and infinite are the two primary symbiotic realms of existence. You can't have the experience of one without the experience of the other.
How are finite and infinite "symbiotic"?
In what way are they "realms"?
How do you experience infinity? Experiencing a finite slice of something infinite is not experiencing infinity.
And the most important question about this supposed infinity of yours:
it's an infinity of what?
Seems to me that infinity is an abstraction that we can't really grasp. And content matters. Quality over quantity, you know.
The never ending series of whole numbers for instance: 1,2,3,4,5... is infinite. If you take away every odd number, you get half as many numbers; 2,4,6,8... But the series is still infinite! Yes, this simple example shows that you can have half an infinity. How much is half an infinity? Of course, by definition, half an infinity is an infinity too. But it's also true that the infinite series of whole numbers will always contain twice the numbers of the equally infinite series containing only even numbers.
What does this mean in practice? We don't know. It's yet another example of the limits of our actual knowledge. Let's see:
1,2,3,4,5... The three dots represents the fact that you can always add another number. That's infinity for you in theory.
2,4,6,8... The series is missing something. It's not as complete as the previous series. It has less flavour. It's missing every odd number.
But you can always add another number. That's infinity in theory.
You can always add another number. In in theory, that is. But in practice? The only way to experience the simple infinity of numbers would be to keep counting. Yes, keep on counting. Imagine the boredom.
The boredom! Besides, how would you know that you were actually experiencing infinity? How would you
know that there would be no end? You would be experienceing an ever larger, but always finite, slice of the infinite...