Question of the day

[MarkMas]

30?

Actually, I have thought about it some more and I'm going to go with 785 (I did have to use a calculator)

 

[JonW]

Hmmm - seems like people are lost, and there is a degree of guesswork going on.

Time for a clue?

 

[MarkMas]

Hmmm - seems like people are lost, and there is a degree of guesswork going on. Time for a clue?

Happy to have a clue, but I am not guessing!!!
30 was based on - "Count to five on one hand, and then, save the five on one finger of the other hand, then count to five again, and save, until you have 5+5+5+5+5 on one hand and 5 on the other = 30.
And then I thought, wait, you could just do the whole thing in base 5 - so 11111 (on one hand) in base 5 is 781 plus 5 (on the other hand), which is, um 786 (sorry, I had 785, before)

 

[JonW]

Happy to have a clue, but I am not guessing!!!
30 was based on - "Count to five on one hand, and then, save the five on one finger of the other hand, then count to five again, and save, until you have 5+5+5+5+5 on one hand and 5 on the other = 30.
And then I thought, wait, you could just do the whole thing in base 5 - so 11111 (on one hand) in base 5 is 781 plus 5 (on the other hand), which is, um 786 (sorry, I had 785, before)

Very good... I apologise profusely!

Not the answer I’m after though, and the use of a calculator for this question is strictly forbidden (not many existed in Babylonian times…)

 

[CatmanV2]

Happy to have a clue, but I am not guessing!!!
30 was based on - "Count to five on one hand, and then, save the five on one finger of the other hand, then count to five again, and save, until you have 5+5+5+5+5 on one hand and 5 on the other = 30.
And then I thought, wait, you could just do the whole thing in base 5 - so 11111 (on one hand) in base 5 is 781 plus 5 (on the other hand), which is, um 786 (sorry, I had 785, before)

I considered that as an answer as well, with exactly the same logic. Problem here is how do we define counting. As previous using Binary you can count up to a lot. Many different ways of using fingers to count

Good stuff!

C

 

[JonW]

Indeed there are... an astronomical number of different ways.

However, the Babylonians didn’t have binary or anything else super complicated, but used a way of counting that has shaped the modern world...

It’s also sexy...

That must be enough clues now!

 

[CatmanV2]

So what you mean is 'How high did Babylonians count on their fingers'

C

 

[midlifecrisis]

225, they counted on their finger joints...

 

[MarkMas]

225, they counted on their finger joints...

Well, that sounds like
3 joints x 5 fingers x 2 hands = 30
or
3 joints x 5 fingers x 6 (five other fingers to keep track plus one final hand) = 90

 

[JonW]

So what you mean is 'How high did Babylonians count on their fingers'

C

Erm - is this not what I said?

225, they counted on their finger joints...

Finger joints is correct... 225 is not

 

[JonW]

Well, that sounds like
3 joints x 5 fingers x 2 hands = 30
or
3 joints x 5 fingers x 6 (five other fingers to keep track plus one final hand) = 90

Getting closer....

As an aside, who has three jointed thumbs?

 

[CatmanV2]

Erm - is this not what I said?

Erm - no

Ok - I learnt this yesterday.

What is the highest number a Babylonian could count to using just their hands?

C

 

[MarkMas]

Well, that sounds like
3 joints x 5 fingers x 2 hands = 30
or
3 joints x 5 fingers x 6 (five other fingers to keep track plus one final hand) = 90

OK so:
14 joints x 2 hands = 28
or
14 joints x 6 (five other fingers to keep track plus one final hand) = 84

 

[MarkMas]

But given the ORIGINAL question, I'm still claiming the prize at 786

 

[JonW]

Bunch of mathematical pedants...

QM is always right... and the clues so far are...

Lost
Degree
Time
Astronomical
Sexy

 

[midlifecrisis]

60?

 

[JonW]

Bingo…! We have a winner...

The Babylonians used a sexagesimal (base 60) system. The thumb on the counting hand points at each finger joint, and gives you 1-12. The second hand is used to count multiples of 12, so 5*12=60

This is (apparently) linked to why 60 seconds, 60 minutes, 360 degrees, etc... Also, 60 is a superior highly composite number, and is divisible by lots of numbers. This helps makes fractions and mental arithmetic easier....

 

[CatmanV2]

But given the ORIGINAL question, I'm still claiming the prize at 786

Why? 1023 is just as plausible!
C

 

[JonW]

Why? 1023 is just as plausible!
C

Please explain?

 

[CatmanV2]

Please explain?

Binary 1111111111 = 1023

C