MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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, 18:29, 9 July 2009
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− | | The second kind of propositional expression takes the form of a parenthesized sequence of propositional expressions, <math>\texttt{(} e_1 \texttt{,} e_2 \texttt{,} \ldots \texttt{,} e_{k-1} \texttt{,} e_k \texttt{)},</math> and is taken to indicate that exactly one of the propositions <math>e_1, e_2, \ldots, e_{k-1}, e_k</math> is false, in other words, that their [[minimal negation]] is true. | + | | The first kind of propositional expression takes the form of a parenthesized sequence of propositional expressions, <math>\texttt{(} e_1 \texttt{,} e_2 \texttt{,} \ldots \texttt{,} e_{k-1} \texttt{,} e_k \texttt{)},</math> and is taken to indicate that exactly one of the propositions <math>e_1, e_2, \ldots, e_{k-1}, e_k</math> is false, in other words, that their [[minimal negation]] is true. |
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− | | The other kind of propositional expression takes the form of a concatenated sequence of propositional expressions, <math>e_1\ e_2\ \ldots\ e_{k-1}\ e_k,</math> and is taken to indicate that all of the propositions <math>e_1, e_2, \ldots, e_{k-1}, e_k</math> are true, in other words, that their [[logical conjunction]] is true. | + | | The second kind of propositional expression takes the form of a concatenated sequence of propositional expressions, <math>e_1\ e_2\ \ldots\ e_{k-1}\ e_k,</math> and is taken to indicate that all of the propositions <math>e_1, e_2, \ldots, e_{k-1}, e_k</math> are true, in other words, that their [[logical conjunction]] is true. |
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