How can you directly convert fahrenheit to celsius if they were created with different methods of measurement?
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Two important details:
Firstly, they both measure the same thing: temperature. And for every possible temperature a thing can be, Fahrenheit has a number for it, and so does Celsius. It doesn’t matter what numbers each system actually calls it; the only important part is that both systems have a number for every possible temperature. The fancy math jargon for this would be that the two scales have the same *domain*.
The other important point is that there are no weird jumps or skips in either scale. Fahrenheit doesn’t, like, go up to 50 degrees, then suddenly skip 51 through 99, and go straight to 100. It always goes up smoothly, and so does Celsius. It might feel stupid to bring that detail up, but believe me, it’s important. The fancy math jargon for this is called *continuity*.
As long as you have these two things — two scales having the same domain, and both of them being continuous — then it is *guaranteed* by math that there will be a way to convert one to the other, and you can find a formula for it. It doesn’t matter how either scale was created or how either of them work.
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