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#43984 06/16/12 11:58 PM
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Isaac Offline OP
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Numerology is the study of numbers in everyday life.

You can assign a different number to every letter of the alphabet, so a=1, b=2, c=3,..., z=26.
You could add up the number for each letter in a word, so the word 'rat' would be r=18, since it is the 18th letter of the alphabet, a=1, since it is the 1st letter of the alphabet, and t=20, since it is the 20th letter of the alphabet.
18+1+20=39, so 'rat' would equal 39. You could do the same for any other word.

A different numerology method would be to accept every prime number, such as 2,3,5,7,11,13,17,19,... as good, and since every composite number is a product of prime factors, every composite number can be accepted as good.

Different number bases can produce interesting results, even though the numbers can be translated from one base to another.

We can start with base 2, or binary, which uses the numbers 0 and 1, and which computers use as their machine code. Big numbers would have to be represented as a large number of 0's and 1's, so this is not a good base for everyday use.

Next is base 8, or octal, which uses the numbers 0-7, and the number 8 would be 10. It used to be popular for programming computers, but fell out of use as computers got more powerful.

Then, of course, there's base 10, or decimal, which uses the digits 0-9 and the number 10 is written as 10. Everyone uses it in everyday life and it is very popular, so we'll probably continue to use it for a long time.

Next is base 12, or duodecimal, which uses the digits 0-9, and 10 is written as A, 11 as B, and 12 is written as 10. This number base has a lot of prime factors including 2,3,4,and 6. A lot of scientists think we should switch to this base because of this, however I think people prefer to stay with decimal.

Finally, there is base 16, or hexadecimal, which uses the digits 0-9. 10 is written as A, 11 as B, 12 as C, 13 as D, 14 as E, and 15 as F. 16 is written as 10. Computers can understand hex (short form for hexadecimal) fairly easily when converted to binary, and is the favorite base for computer programmers.

I think people will continue to use base 10 (decimal) for a long time, however when computers become present in every aspect of society, we might switch to base 16 (hexadecimal).

Please let me know what you think of these numerology methods.
Best wishes,
Isaac

Last edited by Isaac; 06/17/12 01:17 AM.
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Isaac #43992 06/18/12 12:05 PM
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Some people consider the Fibonacci numbers
1,1,2,3,5,8,13,21,34... to be good, where each term in the sequence is the sum of the previous 2 terms.

Isaac #44010 06/23/12 02:36 PM
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Consider even and odd numbers. The even numbers are
...-8,-6,-4,-2,0,2,4,6,8... and the odd numbers are
...-7,-5,-3,-1,1,3,5,7...
If you think that the even numbers are good, and the odd numbers are good, then you think all the integers are good.

Isaac #44016 06/25/12 11:28 AM
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Perfect Squares:

Some people (including me) consider the perfect squares
(square numbers) to be good numbers. Perfect squares are obtained by squaring integers:

0^2=0, (-1)^2=1^2=1, (-2)^2=2^2=4, (-3)^2=3^2=9, (-4)^2=4^2=16,
(-5)^2=5^2=25,...

The perfect squares up to 100 are:

0,1,4,9,16,25,36,49,64,81,100.

Isaac #44336 07/23/12 12:56 PM
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Digit Method:

Baccarat is a card game found in casinos in which the numbered cards count as face value(e.g. an ace counts as 1, 2 as 2, 3 as 3, etc.) and 10,J,Q,K all count as 0. Digits in the 10's, 100's, 1000's, etc. place are all divisible by 10, and count as 0. So all you have to do is prove that the digits 0 to 9 are perfect, thereby proving that all numbers are perfect.

Similarly, all numbers are made up of the digits 0 to 9, so you just have to prove that the digits 0 to 9 are perfect to prove that all numbers are perfect.

Proof:

The digits 0,1,4, and 9 are all perfect squares, so they are perfect.

The digits 2,3,5, and 7 are all prime numbers, so they are perfect.

That leaves the digits 6 and 8.

8 is 2^3, so it is a perfect cube, and therefore perfect.

6 is the number of sides on a cube, including a die in a pair of dice.
6 is also the number of sides in a hexagon, and bees' honeycombs are made of hexagons because it requires the least amount of material to create a lattice of cells within a given volume.
Therefore, 6 is a perfect digit.

Therefore, the digits 0 to 9 are all perfect.
Therefore, all numbers are perfect.

This completes the proof.


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