College was not, as it turned out, particularly useful for practical stuff. Although I learned a reasonable amount, it had a tendency to be the kind of thing that makes great conversation while playing Trivial Pursuit rather than while trying to figure out your household budget for the month.
Consider the subject of infinite sets. I am not a mathematician. I’m okay with arithmetic and I can figure out a basic, algebraic equation if you give me enough time and scratch paper … but otherwise? Unless it’s part of a computer language, I’m at a loss.
I remember infinite sets because it was similar to trying to understand time travel.
An infinite set is any combination of numbers that has not end. There are lots and lots of them. All positive numbers, like 1,2,3,4,5,6,7 … and obviously, you can keep counting until the moon turns blue and the world is exhausted.
But what about an infinite set of all negative AND positive numbers, so that they go back forever into the minuses as well and infinitely forward into the positives. Forever and a day. With no end. That would be twice as big as all positive number … but equally infinite.
There can be infinite sets of only numbers which divide by three or cardinal number and any bizarre combination of fractions. They are all infinite, but some are bigger than others.
How can one infinity be bigger than another infinity? Apparently, universes are sort of like that and now, my brain is due to explode because I can’t keep this kind of information in there.
Our personal numeric world consists of shockingly finite numbers. That’s one of the amazing parts of retirement. You have what you have and you will never have more unless you hit the lottery or have an extremely rich relative planning to die and leave his fortune for you. Retirement income just “IS.” It won’t get bigger. Retirement income pretty much stays the same while the world trundles on.
Life and the universe may be infinite, but retirement income is not.
It’s just a thought to ponder. If you feel like pondering.