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fisherman_carl
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Where does truth come from? God. He is the only one that can create truth. We can only discover it.
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thinkandmull
Guest
Its a philosophical question that doesn’t apply to reality
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Tomdstone
Guest
But in the mod 2 arithmetic 1 + 1 = 0.
Also in special relativity as stated above
The sum of velocities u and v in the same direction is given by (u + v) / ( 1 + (u*v)/ c^2) . So 1+1 = 2/(1 + 1/c^2) which is not 2. Please see:
en.wikipedia.org/wiki/Velocity-addition_formula
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thinkandmull
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that is equivocating on what + means
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petra22
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Tomdstone
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I don’t understand. Can you please explain why mathematicians are equivocating when they discuss prime fields ? And why are physicists equivocating when they discuss how to add velocities in special relativity?
Do you consider the following books to be equivocations and why?
Algebra: Volume I Paperback – October 4, 2013
by B.L. van der Waerden (Author), F. Blum (Translator), J.R. Schulenberg (Translator)
Abstract Algebra, 3rd Edition
by David S. Dummit (Author), Richard M. Foote (Author)
Commutative Algebra I (Graduate Texts in Mathematics) 1st Edition
by Oscar Zariski (Author), Pierre Samuel (Author), I.S. Cohen (Assistant)
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STT
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Truth is objective so it could exist without God or universe.
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Aloysium
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You’re playing with words here; 2 means the same thing as binary 10.
This assumes that the things that are being added are cumulative. If you one apple and get another you will have 2 (binary 10, for those who count with their hands vs the rest who count with their fingers).
Not everything is additive. To have more of nothing does not increase its nothingness, although a sense hopeless helplessness may increase. If one is free of want, one cannot be twice as free. Pain too has that quality, since it is experienced by one person. We may empathize and be moved to greater pity, seeing thousands of people suffering, but it may be said that the total amount of pain in the universe amounts to the suffering of one person. Just sayin’ x+x=x in some circumstances, depending on what x represents. One what?
PS - As a serious aside, this being a Catholic forum, to remind people that the one Person who emptied Himself to be one of us, took our suffering upon Himself, died and was ressurected that, in Him we might all be free. Within His sacred Heart, we are healed.
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Tomdstone
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1+1 = 0 in fields of characteristic 2.
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Aloysium
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I think you agree that if 1 represents the speed of light, 1+1=1
But, I’m trying to think of a real situation where 1+1=0. Perhaps: One supreme being and then another shows up, means neither is a supreme being. It could mathematically then represent an argument against solipsism. Nothing else is coming to mind. Does what we think necessarily have to coincide with reality? I suppose it does if we are seeking the truth. If there is no truth anything goes. I think we’re better off disciplining our minds to be congruent with what is. Where does one see 1+1=0?
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Tomdstone
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Correct. provided that the direction is the same in both cases.
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Aloysium
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Two photons moving parallel, each would experience the other as standing still. Going in the opposite direction, both travelling at the same speed of light, the distance between them would increase at the speed of light. Perplexing, ain’t it? It doesn’t seem right, the light from the sun goes at the speed of light hitting an object equally distant from it at the same time. So they should be separating at a speed twice the speed of light. But, that’s not possible. Oh yeah, this is a Catholic not physics fourum. Never mind.
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Tomdstone
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To see this, first of all, think of a clock, where the top number 12 is replaced by 0. So we have 0,1,2,3,4,5,6,7,8,9,10,11 denoting the hours on the clock. Then, I think you will agree that on this clock, 6+6 = 0 because if the time now is 6:00, then 6 hours from now, the time will be 0:00.
(Remember, we have replaced 12 by 0 on this “mathematical mod 12” clock).
Now in that system, there are 24 hours in a day which is divided up into 12 hours (day and night) and 12 hours (night and morning). Let us focus on the twelve hours part. Each hour has 60 minutes. and the clock has 12hours numbered 0,1,2,…11.
Now let us make a new clock, but this new clock has only 2 “hours”, but each"hour" in this new clock has 360 minutes. So this clock has a 0 on top and a 1 on bottom and there are 360 minutes between 0:000 and 1:000 o’clock. Now suppose you are at 1:000 (or the bottom of the clock which is 360 minutes from 0:000 o’clock. then in 1 “hour” from now you will be at 0:000 o’clock.
In the standard 12 hour clock we see that 6+6 = 0
In the new 2 “hour” clock, we see that 1+1 = 0.
To see how to go from one clock to another, let us suppose that it is 7:30 in the standard, normal clock. In the two hour clock this would be 1:090. Simlarly suppose it is 9:15 in the standard clock. In the two hour clock this would be 1:195.
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thinkandmull
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God the Father plus God the Son equals two people. + means that the two are added together. Changing the meaning of + doesn’t change basic math
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