Numerology

[IsaacAsimov]

The digits 0 to 9 all appear with the same frequency in numbers, so you could say that all the digits are equally important.

Similarly, in the game of baccarat, only the digits 0 to 9 are treated as important.

What if you wanted to prove that all the digits are important, using mathematics?

You could make lists of digits and show that they are important.

 

Perfect squares: 0,1,4,9

Square roots of perfect squares: 2,3

Prime numbers: 2,3,5,7

Fibonacci sequence: 1,2,3,5,8

Honeycomb structure: 6

Number of sides on a die: 6

Number with the most combinations on 2 dice: 7

Perfect cubes: 8

 

Next, make a frequency chart, with digit followed by number of times mentioned:

 

0: 1

1: 2

2: 3

3: 3

4: 1

5: 2

6: 2

7: 2

8: 2

9: 1

 

Therefore, there are 3 digits with importance 1, 5 digits with importance 2, and 2 digits with importance 3.

 

[swansont]

The digits 0 to 9 all appear with the same frequency in numbers

 

No, they don't. In many situations (e.g. street addresses, bills, census tallies) the leading digit follows Benford's law http://en.wikipedia.org/wiki/Benford's_law

 

(oh, and numerology is crap.)

[Greg H.]

The digits 0 to 9 all appear with the same frequency in numbers, so you could say that all the digits are equally important.

Similarly, in the game of baccarat, only the digits 0 to 9 are treated as important.

What if you wanted to prove that all the digits are important, using mathematics?

You could make lists of digits and show that they are important.

 

Perfect squares: 0,1,4,9

Square roots of perfect squares: 2,3

Prime numbers: 2,3,5,7

Fibonacci sequence: 1,2,3,5,8

Honeycomb structure: 6

Number of sides on a die: 6

Number with the most combinations on 2 dice: 7

Perfect cubes: 8

 

Next, make a frequency chart, with digit followed by number of times mentioned:

 

0: 1

1: 2

2: 3

3: 3

4: 1

5: 2

6: 2

7: 2

8: 2

9: 1

 

Therefore, there are 3 digits with importance 1, 5 digits with importance 2, and 2 digits with importance 3.

 

I have dice with 4, 6, 8, 10, 12, 20,30, and 100 sides at home. Why is 6 arbitraily more important than them?

 

Also, why is a hexagonal shape important, but not say, a triangle, square, pentagram, or octagon, which are also fairly common?

 

Additionally, 6 and 8 have just as many ways to generate them on two dice as 7 does (by my count).

 

I'll refer back to the previous poster's main point: Numerology is crap.

Edited March 12, 2014 by Greg H.

[Strange]

Therefore, there are 3 digits with importance 1, 5 digits with importance 2, and 2 digits with importance 3.

 

 

But your list was incomplete. You didn't include, for example:

• Number of sides on a tetrahedron and octahedron
• Non-prime numbers
• Bell numbers
• Even numbers
• Odd numbers
• Catalan numbers
• Happy numbers
• Deficient numbers
• Ullam numbers
• And every other sequence in the On-Line Encyclopedia of Integer Sequences

By the time you have included the infinite number of possible sequences, I think you might find a more even distribution. Which just goes to show that "numerology is crap."

[Sensei]

Decimal system is just one of many (infinite in fact) systems. We choose it because we have 10 fingers.

 

In binary system you have just 0 and 1.