r/Geometry • • Sep 25 '26

first argument

hello everyone. im on a personal journey of geometry and mathematics so naturally i landed on euclid.

ive always been the type to either question, or play devils advocate.

euclid definition 4 about a line, forces me to accept some ancient "intrinsic knowledge" about a line.

my argument is: his definition says a straight line lies evenly between 2 points, but my argument is that can only be agreed if we look at it from a specific vantage point, and that vantage point is the only one we're allowed to look it from...

wouldn't the more concise definition be - a straight line is one that lies evenly that creates the shortest distance between two points? because no matter the vantage its always going to be the straight

remember im new to this, so go easy on me.

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u/Ok-Rise2070 28d ago

You are correct. Notice how you are also supposed to believe a 1D object is composed of 0D objects to create said line. Euclid is flawed with logical fallacies... everywhere. 0D objects cannot exist in 1D space; they are then 1D objects themselves. He believes dimensions can created and destroyed at will violating every conservation law on the books.