But why did we pick base 10, was it because we have 10 fingers? That little dude has 3 fingers per hand. Seems like they would end up using base 6 and design a whole system around that, and base 10 would be strange to them.
It’s not that a system based on base 6 would be strange. That’d be a logical system, too. Just as any other system that consistently uses a particular base.
However, a system that uses numbers of base whatever but then proceeds to jump from one unit to the next one in completely arbitrarily sized steps such as 3; 22; 10; 8; 3 is illogical in any base.
Mostly because it’s very easy to make calculation on base 10.
If i ask you to tell me how many millimeters are in 5.7 meters you could probably reply easily without a calculator.
You probably wouldn’t do it as easily if it wasn’t base 10
We define 1000 mm as one meter as we are base 10 centric. If we live in a base 8 world, we would have define 8x8x8 mm as one metre and the answer to 5.7 m base 8 would be 5700mm base 8 too
It’s not fundamentally easier to do calculations in base 10. It’s only easier for us because that’s what we learn as children.
If our number system was based on a superior base, like dozenal or senary, we would be able to do calculations on that base easily and would find working in tens awkward.
That’s literally the same way with any other base. We just defined orders of magnitudes to be multiples of 10 because we use base 10. We could just as well have used other multiples.
But why did we pick base 10, was it because we have 10 fingers? That little dude has 3 fingers per hand. Seems like they would end up using base 6 and design a whole system around that, and base 10 would be strange to them.
Man I love this comic. Glad to see it on Lemmy!
One of his books explains it with 3 fingers on each hand and 2 toes on each foot - so a base-10 system makes vague sense for those beings.
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It’s not that a system based on base 6 would be strange. That’d be a logical system, too. Just as any other system that consistently uses a particular base.
However, a system that uses numbers of base whatever but then proceeds to jump from one unit to the next one in completely arbitrarily sized steps such as 3; 22; 10; 8; 3 is illogical in any base.
Mostly because it’s very easy to make calculation on base 10. If i ask you to tell me how many millimeters are in 5.7 meters you could probably reply easily without a calculator. You probably wouldn’t do it as easily if it wasn’t base 10
We define 1000 mm as one meter as we are base 10 centric. If we live in a base 8 world, we would have define 8x8x8 mm as one metre and the answer to 5.7 m base 8 would be 5700mm base 8 too
It’s not fundamentally easier to do calculations in base 10. It’s only easier for us because that’s what we learn as children.
If our number system was based on a superior base, like dozenal or senary, we would be able to do calculations on that base easily and would find working in tens awkward.
I disagree. Base 10 is innately more intuitive because you move a decimal to shift between orders of magnitude.
That’s true for all bases.
You disagree because you don’t understand how number bases work.
this is one of the most confidently incorrect answers ive ever read. well done!
Because it’s intuitive. Calculating orders of magnitude is literally just a matter adding or removing significant digits.
That’s literally the same way with any other base. We just defined orders of magnitudes to be multiples of 10 because we use base 10. We could just as well have used other multiples.