Hi Izzy,
I missed your posts for awhile there. Glad to see you posting again!
I really liked your question. I am not a mathematician, but my H is (he is really, really smart, IQ clocked at > 150). Calculus is easier for him than 1+1=2 is for me. So I asked him. He said that the basic precepts of math are true; but math can be subjective. We then got into a discussion about math systems that are on different bases (I forget what he called them).
Anyway, here was the example he gave me. Suppose you have 11 apples in front of you.
In the commonly used 10-base math system, this would = 11 apples.
In an 8-base math system, it would = 13 apples
In a 4-base math system it would = 23 apples and in a binary system it would be 1011 apples, if I’ve done the math correctly.
Here's how it works, the As below are apples:
A1 A2 A3 A4 A5 A6 A7 A8 A9 A10 A11
10-base 0 1 2 3 4 5 6 7 8 9
10 11
8-base 0 1 2 3 4 5 6 7
10 11 12 13
4-base 0 1 2 3
10 11 12 13
20 21 22 23
binary 0 1 10 11 100 101 110 111 1000 1001 1010 1011
Now, all that being said – there is still an absolute mathematical truth …. no matter what you call it, you still have the same quantity of apples in front of you.
It was a fun discussion, it was almost as though the math proved your point! Ha!
Math at its most basic precepts is true/the 3-D world is governed by physical (mathematical) truths – it is the interpretation, or the theoretical spin one puts on it that makes it 6 and ˝ dozen of the other.
I go round and round with perceptions, mine, how I perceived other’s perceptions, how others come up with what I perceive their perception to be. Sometimes I have a really hard time figuring this out – and even then, when I think I have it figured out – my perception can be totally off, absolutely spot on, or partially true.
So, I am always wondering ….. is my perception accurate, inaccurate, somewhere in between?
Usually it is out in left field – ha!
Just kidding … I think what I have found is that there are some who I can trust in 3D (not many – I have a very hard time trusting) and who I can bounce my perceptions off of and get their take on it (my H being one) – we don’t always agree, but we can discuss it civilly …. which is a blessing in and of itself (never had that as a child).
Great topic Iz. Thanks!
PS - My H lost me in the hexadecimal system ..... here is how it goes apparently ….they substitute letters for numbers ...
0 1 2 3 4 5 6 7 8 9 10 A B C D E F 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D 1E 1F 20 2F…
They do use these systems as you probably know being a computer guru .... computers are based on binary (2-digits, 0 and 1, true/false). The hexadecimal system is used as a short hand for binary as the #s get long very quickly.
Sorry for the long ramble - we had a great discussion from your topic - thanks Iz!