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Originally Posted by flstf
Pi is the ratio of the circumference of a circle to it's diameter. However it's value is irrational. It is not an idea or tool that we created (we found/discovered it).
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The concept of a circle is an abstract idealization. Assuming that physical lengths have meaning to arbitrary precision is also an abstraction. Pi is a well-defined logical construct, but we created it. The "physical definition" of pi is only an approximation to the mathematical one (although a very good one).