Joseph: My encyclopedia says that the mathematician Pierre de Fermat died in 1665 without leaving behind any written proof for a theorem that he claimed nonetheless to have proved. ████████ ████ ███████ ███████ ██████ ██████ ██ ███████ ██████████ ███ ███████ ██████ ████████ ███ ████ ███ ████ ████ ██ █████ ███ █████████ ██ ██ ██████ ████ ██████ ███ ██████ █████ ██ ████ ████████ ████ ██ ████ ███ ██████
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Joseph's main conclusion is that Fermat was lying or mistaken when he claimed to have proved his theorem. Joseph believes this because no one has been able to prove the theorem since Fermat's time, suggesting that it might be impossible to prove.
This is a sub-conclusion that supports Joseph’s main conclusion that Fermat was either lying or mistaken in proving his theory.
Joseph's statement that "this alleged ███████ ██████ ██████ ██ ███████ █████ █████ ███ ██ ███ █████████ █████ ██ ███ █████████
an assumption for █████ ██ ███████ ██ ███████
a subsidiary conclusion ██ █████ ███ ██████████ ████ ██████████ ██ █████
a potential objection ████ ███ ████████ ███████████ ███ ████████ ██ ██████ ██████ ██ ██ ██████
the principal claim ████ ███ ████████ ██ ██████████ ██ ██████
background information that ███████ ████████ ███ ██████████ ███ ██████████ ██████████