Sunday, May 18, 2008

Kant: Math

According to Kant:

Math is analytic and synthetic.

Meaning you have to take two knowns and put them together to have math make sense. This doesn't make too much sense to the though. If someone had no knowledge of anything in the contemporary world, you still could teach them values and quantites of something. 1 egg and another egg is 2 eggs. Very simple. How is synthetic knowledge ever incorporated into that math problem? No knowledge of eggs, their producers or chickens are needed to understand that simple problem. Even if you were to know the information on the following, it would be useless to the subject of math.

1 comment:

Robert Dotto said...

i guess what he means by putting both types of knowledge to get the concept of math is that when we think of or are being taught about math, we are using numbers. numbers are basically ideas, they are not set in stone. for exmaple, if i were to write a number 2 on a peice of paper, i could erase that 2..are there no more 2's in the world? no, because it's jsut a concept. in order for math to make sense i think u need the synthetic knowledge to create laws and properties to things like the number 2 in order to gain analytic knowledge. for example, humans have the need to know the quantity of things to carry out many necessary actions like cooking (ingredients), or even fighting wars (counting how many casualties). putting the synthetic knowledge into the analytical knowledge creates the concept of math..yes?