JLRC: On some occasions, CSPeirce's logical notation included the multiplication sign, an operation that may conflict with the scientific notation of chemistry and the notion of a natural object
Yes. That is the reason why Peano began the practice of turning letters upside down and backwards to create distinct longical symbols: the letter 'v' for 'or' (Latin 'vel'); an upside-down 'v' for 'and'; a backward 'c' for consequence (it-then); a baclward E for existence. He couldn't do much with the letter 'O' for 'omnia', so he used a pair of parentheses: (x) represented 'for all x'. The Germans turned the letter A for Alle upside down. The reason why Peano turned letters upside-down and backwards was that the printers could easily type-set his writings just by the way they inserted each letter. And by the way, Boole was a brilliant mathematician, who developed important ideas in abstract algebra. But he is most famous for just one algebra. John
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