Posted: Oct 23, 2016 12:11 pm
by Shrunk
Wortfish wrote:
Shrunk wrote:
Why can you not draw a right angle triangle that does not obey the Pythagorean Theorem? Is that because the Pythagorean Theorem is a physical law? Is the reason you cannot violate it the same reason that you cannot jump of a cliff and remain suspended in midair indefinitely? Don't get ahead of yourself, Just answer this one question, and then we can move on.


No. Pythagoras' theorem is not a "physical law".


Good! That is the correct answer. :clap:

Now, a follow up: Would the Pythagorean Theorem still hold in the absence of two dimensional space? That is to say: If only one dimensional space, or no space at, all existed (e.g. if all that existed was an immaterial god who transcended time and space and who had decided not to create any universe at all), would the Pythagoren Theorem no longer hold true? Would it then be possible that, in a two (or more) dimensional universe, one could draw a right angle triangle that did not obey the theorem?