Question: The binary connective (downarrow) is called the Peirce arrow, named for American philosopher Charles Peirce (not for the antique automobile). The truth table for (downarrow)

The binary connective $\downarrow$ is called the Peirce arrow, named for American philosopher Charles Peirce (not for the antique automobile). The truth table for $\downarrow$ is given here. In Chapter 8 we will see that this truth table represents the NOR gate

A BAB T TF F T FF T ATTF FFFT

Show that every compound statement is equivalent to a statement using only the connective $\downarrow$.

A BAB T TF F T FF T ATTF FFFT

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The Peirce arrow denoted by the symbol downarrow represents the NOR logical operator In logic the NOR gate is a universal gate which means that any lo... View full answer

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