ryan
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In physics many of the models are just equations, but in organic chemistry many times the models are lines and letters and symbols for charge.
I can make organic chemistry predictions using models like this. Models that don't employ mathematics.
But I know that real molecules are not lines and letters. None-the-less I can make some predictions using just lines and letters written on paper.
So does nature work by mathematics, or does it work by lines and letters?
Can you give a simple example of these lines and letters?
A leaf even computes information about its surroundings.
Not by employing mathematics.
No, but its underlying nature may be mathematical. For example, imagine a car travelling at 10 m/s for 20 seconds. The equation for its distance in 20 seconds is t*V = 20*10 = 200m. The symbol for the car and its speed is V. So we can replace the actual car and its speed with V. Then we can replace the length of time that the actual event happens in with t. Finally, we can replace the distance driven on the road with 200m.
Why does it matter that the symbols are not the actual objects? Languages have different symbols for words that mean the same thing; why can't we do the same with nature and arbitrary symbols? The meaning is what's important; the symbol or what it actually represents is not important.