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In Aristotle's syllogistic, a syllogism relates a pair of premises (the major premise and the minor premise) and a single conclusion.
From this text, we can extract an exact formal proof, as follows: A completion or proof "through the impossible" shows that a certain conclusion follows from a pair of premises by assuming as a third premise the denial of that conclusion and giving a deduction, from it and one of the original premises, the denial (or the contrary) of the other premises.
Similar(58)
A printer stamps slips for the items with dates; a cutter slashes them out of the papers with a curved knife ("in spite of the letterhead, there wasn't a pair of shears on the premises"); the clips and slips are pasted together and mailed out.
Regional official Philippe Galli told reporters it was too early to draw conclusions about the character of the attack, noting that the assailant, wearing a balaclava, had apparently found a cutter and a pair of scissors at the school premises.
Regional official Philippe Galli told reporters it was too early to draw conclusions about the character of the attack, saying that the assailant, wearing a balaclava, had apparently found a box cutter and a pair of scissors at the school premises.
It also took a chance, in 1993, on a show whose premise — a pair of F.B.I. agents investigating paranormal phenomena, including a vast alien conspiracy — was widely mocked.
The writers' job was easier, because a lot of thought had been put into both the ingenious premise — a pair of freelance crime fighters secretly exploiting a government computer surveillance system — and the relationships among the motley crew of cops, spies and technocrats who are the heroes.
It is perfectly obvious that no non-theist can accept this pair of premises.
However, it is quite clear that no rational, reflective, etc. non-theist will accept the pair of premises in the sample argument.
Also on the premises are a pair of marble-top consoles by Jansen, the Paris interior design firm.
He had already scouted the premises, found a pair of locks he could pick, and figured his well-practiced routine would take approximately 30 seconds.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com