I was doing some research and as it turns out infinity - infinity is what is termed an indeterminate form. It does not equal infinity, or zero, or...
You are correct. It was unfair. But I planned to admit this later and show how everything in my post #22 was incorrect. I was acting the part of a...
Your view that the final set is empty seems perfectly reasonable to me. I should have been more specific about what I was talking about here. I was...
I noticed that you did not include subtraction. infinity - infinity = infinity Take the set of natural numbers and remove all the odd numbers. Now...
I would dispute this. While 1000 and 1001 are distinct integer values, infinity is not, because infinity = infinity+1 = m*infinity+n, where m and n...
The problem with Cantor and his Set Theory is actually quite simple. Set Theory uses the Axiom of Infinity. It is an unprovable assumption that...
I am familiar with Cantor's work. I understand what his ideas are. I was only showing that your definition was wrong. If we take the definition you...
All sets are subsets of themselves. Every set is in 1-1 correspondence with itself.
Archive of Formal Proofs: https://www.isa-afp.org/
This video might be of interest to some here. It is not specifically about ANNs. Instead it is about the more general subject of AI. It is a...
Since the subject of vinyl records and audio quality is being discussed, I thought I might share this fascinating presentation on the technology...
I think that the key here is that we tend to think that we see the Hubble effect only from distant objects, and that the effect is not seen locally....
You are welcome. I included the Faraday book link specifically because I knew an exchemist might find it interesting. Esp interesting is is how much...
I highly recommend that anyone interested in static electricity and electricity in general read An Elementary Treatise on Electricity by James Clark...
Does it make me feel better? I don't know. I am feeling pretty OK.
I see. The facts speak for themselves. And you define the facts. You could point out where what I said about energy and mass is wrong, but hey, let's...
It seems to me that you are trying to steer the conversation away from my original objection. Gravity affects mass and energy, but energy is not a...
Energy = mass * distance * distance / time * time So if "mass is causal with gravity" then energy is too. That was all I was saying. No need to get...
Well, Dark Energy has something to do with curvature. Can curvature exceed the speed of light? I am not even sure what that means. And you know what...
You have created a false dichotomy. Energy and mass share one factor. mass. If you look at the dimensional units for energy you will find mass. And...
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