Tuesday, September 23, 2014

1. numbers (numerals: from objects to symbols)

1-4-1. Imagine that you’d been a shepherd, living before invention of numerals. You probably would've wanted to know if you’d lost some sheep, maybe a wolf had preyed on them. So you'd need an equivalent amount which could be remained unchanged.
Your fingers were probably the first things you could have found. Making a one to one correspondence between your fingers and the number of the sheep enabled you to record the quantity. However, you know that it wouldn't be applicable if the quantity exceeded ten or twenty (if you used your foot fingers too); moreover, there are unexpected and unfortunate accidents in which somebody might lose one or some of their fingers.
So, one of the first things that you could find around abundantly was stone. You could gather pebbles to record the quantity. So it’s not unexpected that the word calculation stemmed the Greek word “calculus” (plural: calculi) which means “pebble”. However using pebbles has two main disadvantages:

1. they take up space: it’d be difficult to keep them, especially to carry them around if you wanted to trade your sheep

2.  one or some of them might be lost (pranksters might have been in that era too)


If you'd been one of the geniuses of that epoch, you would've found out that you could have carved a notch into a stone or wood. It doesn't take that much space and it’s rather permanent. Of course you could lose the stone or wood but the recorded quantity can be hardly changed.

Pages