I have this question it came to me thinking about what numbers are and how they work
in school they teach us numbers they start of with pictures of apples
they say 1 + 1 = 2
and teach it by showing one drawing of an apple next to an other and a + and than an = and than two apples
now let me think about this in a more close way if you go about saying 1 + 1 = 2
and now try and fix its bearing on reality more closely in the apple way meaning that numbers have an other grip on reality than just being ink on paper
so there is one apple and one next to it so now for it to be two you need to be sure there are two separate apples as mathematical certainty
so this we do in a very basic way , for there to be two separate apples both having number 1 you need to measure the distance between them so for doing this you name one apple A and the other B than you make a measurement from apple A to apple B so where is the measurement going to start ? well it should start on the outside of apple B or perhaps in the centre
and you need to draw a line from apple A to B to be sure you have two apples in a fixed spot
the start of this line should be a small point but how small ? it cant be a point so big its not the start of a line to point B ( the other apple ) the real point from where to start this line should be infinitely small for it to be certain and not two or three points close to each other but how small is an infinite small point ? seems never small enough I would think
so how could we ever conclude from knowledge gained from senses that learned us to read numbers like 1 and 2 are as apples and mean something other than just shapes of ink on paper how can they actually Revere to real things ? like apples or other things ? some how they must but how ? why is reality not just an apple A and an other Apple that only looks similar but is not the same only similar to the eye ? it seems to me 1=1=2 means not a lot at all really and in fact it seems like 1+1=2 could also bee seen as not so (!?)
in school they teach us numbers they start of with pictures of apples
they say 1 + 1 = 2
and teach it by showing one drawing of an apple next to an other and a + and than an = and than two apples
now let me think about this in a more close way if you go about saying 1 + 1 = 2
and now try and fix its bearing on reality more closely in the apple way meaning that numbers have an other grip on reality than just being ink on paper
so there is one apple and one next to it so now for it to be two you need to be sure there are two separate apples as mathematical certainty
so this we do in a very basic way , for there to be two separate apples both having number 1 you need to measure the distance between them so for doing this you name one apple A and the other B than you make a measurement from apple A to apple B so where is the measurement going to start ? well it should start on the outside of apple B or perhaps in the centre
and you need to draw a line from apple A to B to be sure you have two apples in a fixed spot
the start of this line should be a small point but how small ? it cant be a point so big its not the start of a line to point B ( the other apple ) the real point from where to start this line should be infinitely small for it to be certain and not two or three points close to each other but how small is an infinite small point ? seems never small enough I would think
so how could we ever conclude from knowledge gained from senses that learned us to read numbers like 1 and 2 are as apples and mean something other than just shapes of ink on paper how can they actually Revere to real things ? like apples or other things ? some how they must but how ? why is reality not just an apple A and an other Apple that only looks similar but is not the same only similar to the eye ? it seems to me 1=1=2 means not a lot at all really and in fact it seems like 1+1=2 could also bee seen as not so (!?)
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keywords: quistion,Mathematics,Mathematics quistion 1+1=2