So in answer to my question, you would want 'proof' that all bachelors in the 'real world' are not married?
The Ancient Greeks are making conclusions for things that they cannot see or test for themselves. It is impossible to come up with axioms or conclusions for something that cannot be tested.
Why? Euclid defines parallel lines as those which maintain the same distance from one another. This is just like the definition of ‘bachelor’
Where did Euclid prove that the perspective lines receded into infinity?
Where did Elucid prove that the perspective lines would never meet?
Where did Elucid prove his ideas about perspective at all?
Your argument of he "defined" this or that or that his conclusions are based on "rigorous argumentation" and that "evidence is not necessary" is bunk. Evidence is necessary.
The Ancient Greek depiction of perspective has perspective lines which approach each other for infinity.
And again, challenging you here on precisely which Ancient Greek text states that 'perspective lines approach each other for infinity'. Should be easy enough.
That is the idea behind these "the sun would never set" comments. If you are claiming that it is impossible for something to set because of your perspective model
then you need to prove your perspective model.
No evidence? Then your theory is disregarded as the universal truth that must be disproved.
No evidence? Then any other theory is as equally valid.
Where is the evidence?