(BTW, this was good)
"2" is (almost) everywhere...
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Check out the continuum hypothesis on wikipedia. There are different sized infinities. One should count in terms of these.
i really enjoyed the video and it took me back to my 11th and 12th grade math toiling in the Indian summer to get a good score and secure my future :-)
thanks for the nostalgia and I did spend a few moments wondering what if my degree was in Math :-)
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Yeah, equally true of all the digits 0 through 9. :) I guess that makes sense since 10 x ('almost' infinity) is still 'almost' infinity?
I like this passage about the number three from Plato in his Timaeus:
"It is impossible that the disposition or arrangement of two of anything, so long as there are only two, should be beautiful without a third. There must come between them, in the middle, a bond which brings them into union. The most beautiful of bonds is that which brings perfect unity to itself and the parts linked. It is geometrical proportion, which, by essence, is the most beautiful for such achievement. For when of three numbers, or of three masses, or of any other quantity, the intermediary is to the last as the first is to the last and reciprocally, the last to the intermediary, as the intermediary to the first, then the intermediary becomes first and last. Further, the last and the first become both intermediaries; thus it is necessary that all achieve identity; and, being identified mutually, they shall be one."
It's kind of eerie in a way to consider how this Platonic description of three as one is almost an echo of some of Christ's formulations:
St John 17:11, 21-23: 'Holy Father, keep through thine own name those whom thou hast given me, that they may be one, as we are... That they may all be one; as thou, Father, art in me, and I in thee, that they also may be one in us ... And the glory which thou gavest me I have given them; that they may be one, even as we are one: I in them and thou in me, that they may be made perfect in one.'
Seems like there are some almost Pythagorean reverberations about numbers in the words of Plato, Christ, etc...
Plato's thesis seems to describe an ontological relationship:
" ... in the image of God he created him; male and female he created them."[Gen 1:26–7] For Trinitarians, emphasis in Genesis 1:26 is on the plurality in the Deity, and in 1:27 on the unity of the divine Essence. A possible interpretation of Genesis 1:26 is that God's relationships in the Trinity are mirrored in man by the ideal relationship between husband and wife, two persons becoming one flesh, ..."
"According to the words of Jesus, married persons are in some sense no longer two but are joined into one. Therefore, Orthodox theologians also see the marriage relationship between a man and a woman to be an example of this sacred union. "Therefore shall a man leave his father and his mother, and shall cleave unto his wife: and they shall be one flesh." Gen. 2:24. "Wherefore they are no more twain but one flesh. What therefore God hath joined together, let no man put asunder." Matt. 19: 6"
BTW, speaking of relationships and the concept of (almost) ubiquitous nuclear families, the name 'Trinity' is the name (not coincidentally) selected for the first atomic testing site.
[ See the reference to Oppenheimer's explanation for origin: "Batter my heart, three person'd God;—." ]
Thanks for the vid - good stuff.
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3 is the magic number.
Duh, De La Soul taught us that.
this is what i've been saying all along
Well im an art student and terrible at math... but it seems like the simplest way to express this would be as followed:
Only a tiny minority of numbers are small... given that you can count up to trillion and beyond forever... once you get to 10 digit numbers, nearly every number contains nearly every digit. Eventually when you've got numbers with like dozens of 0's after them, it would be a mathmatical certainty that EVERY number would contain at least 1 of each of the 10 base numbers in it.
Yes, that's the idea of course. "10" is a rather small base at our human scale, but the argument will work with any finite number base, anyway.
The video is only interesting as an example of a formal and rigorous way to explain it.
Maybe a little more interesting and more counter-intuitive, I think, is Benford's law :
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"5" is (almost) everywhere...
(Also) true... ;)
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