On Saturday, June 17, 2017 at 4:35:01 PM UTC-5, Archimedes Plutonium wrote:
evolution of multiplication as "times" Re: The math history of using the word "times" in place of multiply// for Array history
Post by Archimedes Plutonium
Now i vaguely remember the word for "times" in German is "mal" so we have 2 mal 3 ist 6
Now in French it is "fois" but do they use it as 2 fois 4 = 8
So, out of curiosity, do the French say 2 fois 3 = 6?
Alright, let me explore this, for it is possible that from language we get the word for "multiply" as
"times" can tell us-- all the way back at the dawn of Human history, tell us how we evolved from apes in trees to that of stonethrowing human beings.
Highly unlikely, but possible. Highly unlikely.
Here I am looking for where in the history of planet Earth, is there a need for multiplication to be known. Certainly no animal needs to know multiplication except for when Humanity was borne or a ape like human was borne.
The apes of today have no need of multiplication concept. But in the early formation of pre-humans, the need of Multiplication as that of Times, such as 3 times 10 is very useful when you want to throw 3 rocks at each 10 enemies.
Now, it is easy to see that animals know something about add or sum or "how many". Just on TV last week was a animal show where the mother duck waited for all her chicks to drop out of the tree hollow in order to go to a pond. So she apparently knew a "number" of her chicks, she knew a quantity. So animals all have some instinct know how of "how many" whether a primitive notion or more sophisticated. Subtraction would be something missing. Division for animals would be like -- did I get my ration of the carcass. But, multiplication, now, that is a too far to grasp for animals, and no real use.
Animals know quantity-- their offspring, and so they need to know add, and to some extent know subtract in that "so and so is missing". To some extent division, in my share of food at dinner. But, no need ever for multiply, until (I speculate) rockthrowing comes along.
Until in the history of life, when would a "multiplication concept" arrive? When would it be needed?
Certainly, it would be needed to have multiplication when you have farming, where you have 5 rows and you have 10 in a row is 50. Rather than count up to 50 by adding.
But is multiply need to multiply come in any earlier in the history of life on Earth? When is multiply utterly needed? When is it needed before being able to 5 times 10 is 50?
Here I think is the need for Life to have multiplication-- when an animal lives by throwing rocks-- ie, humans.
Here is where Stonethrowing theory of humanity, creating humanity out of ape stock enters the picture on how Multiply known as "times" is borne.
Stonethrowing theory posits that the human brain needed to expand because throwing requires math of geometry to see how a stone in air in flight hits its target. A Geometry mind can picture a rock thrown and flying in the air.
Now, multiply in farming of 5 times 10 rows is not throwing rocks and stones. Unless, of course, you are in a band or tribe of rockthrowers say a tribe of 10 males and you know there are another tribe of many males yonder who aim to kill you.
So, in a situation like this, you need multiply along with add. The mind needs to know you can carry a sack of 3 times 10 rocks assuming your enemy is 10 warriors, so that you throw 3 rocks at each one of your enemies. Or, you bring 3 rocks for each or your companions back to the campfire.
So, the first time in history of life on Earth, that multiply needs to be, needs to happen, needs to exist, is when apes evolved into humans and to prepare to fight against enemies.
Now, these prehumans throwing rocks and stones, would need a word for that idea of 3 x 10 = 30.
Of course you need add and thus sum, so you collect say a "bunch of rocks" because enemies are coming. But that needs to be refined to 3 rocks per person or 4 or 5 times 10. So here we see emerging the first NEED of multiply.
And there could not have been a better word for multiply than the word "times", the physics word for Time of a clock. Time back then for throwing apes-humans is not a clock time, although they would have been aware of day and night progression, but time for them would have been a "future event".
The future event that loomed for them was a showdown of 10 warriors in one tribe against 10 from another tribe. So, "time" for them was an event of the future.
So, 10 enemy and you want to throw 3 rocks at each. Naturally, thus, is borne multiplication where you tell your companions in your language 3 TIMES 10. You probably had a word for 3 and for 10, but maybe no word for 30, except to say 3 times 10.
So naturally Time as meaning some future event, so you have 3 times 10 when the 10 enemies come over the ridge to fight you.