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Original post by owl

I even remember my dad telling me (when I was just a kid) to take a string and measure a circle to see how much it's length was, and, if I'm not wrong, measuring with physical objects still gives a values closer to 3.14etc than 4.

Closer to pi, but not pi as it is mathematically defined, even if you somehow were to eliminate measurement errors, since the geometric definition of pi demands a perfectly flat euclidian space, something which you are not in.