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MyWikiBiz, Author Your Legacy — Friday September 27, 2024
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The blank connectives are written as concatenations of ''k'' expressions and interpreted as ''k''-ary conjunctions.  Thus,
 
The blank connectives are written as concatenations of ''k'' expressions and interpreted as ''k''-ary conjunctions.  Thus,
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: ''e''<sub>1</sub> ''e''<sub>2</sub> ''e''<sub>3</sub> means "''e''<sub>1</sub> and ''e''<sub>2</sub> and ''e''<sub>3</sub>".
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:{| cellpadding="4"
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| ''e''<sub>1</sub> ''e''<sub>2</sub> ''e''<sub>3</sub>
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| means
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| ''e''<sub>1</sub> and ''e''<sub>2</sub> and ''e''<sub>3</sub>.
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|}
    
The bound connectives are written as lists of ''k'' expressions (''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub>), where the parentheses and commas are considered to be parts of the connective notation.  In text presentations the parentheses will be superscripted, as <sup>(</sup>''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub><sup>)</sup>, to avoid confusion with other uses.  The bound connective is interpreted to mean that just one of the ''k'' listed expressions is false.  That is, <sup>(</sup>''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub><sup>)</sup> is true if and only if exactly one of the expressions ''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub> is false.  In particular, for ''k''&nbsp;=&nbsp;1&nbsp;and&nbsp;2, we have:
 
The bound connectives are written as lists of ''k'' expressions (''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub>), where the parentheses and commas are considered to be parts of the connective notation.  In text presentations the parentheses will be superscripted, as <sup>(</sup>''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub><sup>)</sup>, to avoid confusion with other uses.  The bound connective is interpreted to mean that just one of the ''k'' listed expressions is false.  That is, <sup>(</sup>''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub><sup>)</sup> is true if and only if exactly one of the expressions ''e''<sub>1</sub>,&nbsp;…,&nbsp;''e''<sub>''k''</sub> is false.  In particular, for ''k''&nbsp;=&nbsp;1&nbsp;and&nbsp;2, we have:
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