…without justification. You claimed based upon a presupposition of how to interpret someone else’s RESPONSE to your claim. Your demand could be met with:
Laughter
Derision
Robotic fulfillment
Apathy
Punch in the face
Trying to point to any of this as “Ha! See! They did X which means Y!!!” when you have zero connection between X and Y is silly. You can’t even justify why anyone should take your request seriously, let alone accept its terms.
I really enjoyed your breakdown of tautologies as I never got a chance to take a symbolic logic or an advanced math class, and though I had heard it mentioned in passing I never really got to dig into them. I went and looked it up for more info after reading your explanation and I’m really glad I got to expand my knowledge.
After double checking it against other definitions, I have to say your analysis of Cauchy’s argument is spot on.