Changes

5,535 bytes added ,  16:54, 13 December 2008
redo tables
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| ''f<sub>1</sub> || 0001 || (x)(y)
 
| ''f<sub>1</sub> || 0001 || (x)(y)
 
| 1 || 1 || 1 || 0 || 1 || 0 || 0 || 0
 
| 1 || 1 || 1 || 0 || 1 || 0 || 0 || 0
 +
 
|-
 
|-
 
| ''f<sub>2</sub> || 0010 || (x) y  
 
| ''f<sub>2</sub> || 0010 || (x) y  
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|&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;
 
|&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;
 
|&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;
 
|&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;||&nbsp;
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|}<br>
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{| align="center" border="1" cellpadding="0" cellspacing="0" style="background:white; color:black; font-weight:bold; text-align:center; width:96%"
 +
|+ '''Table 12.  Higher Order Propositions (''n'' = 2)'''
 +
|- style="background:ghostwhite"
 +
| align="right" | <math>u:</math><br><math>v:</math>
 +
| 1100<br>1010
 +
| <math>f\!</math>
 +
| <math>m_0</math>
 +
| <math>m_1</math>
 +
| <math>m_2</math>
 +
| <math>m_3</math>
 +
| <math>m_4</math>
 +
| <math>m_5</math>
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| <math>m_6</math>
 +
| <math>m_7</math>
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| <math>m_8</math>
 +
| <math>m_9</math>
 +
| <math>m_{10}</math>
 +
| <math>m_{11}</math>
 +
| <math>m_{12}</math>
 +
| <math>m_{13}</math>
 +
| <math>m_{14}</math>
 +
| <math>m_{15}</math>
 +
| <math>m_{16}</math>
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| <math>m_{17}</math>
 +
| <math>m_{18}</math>
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| <math>m_{19}</math>
 +
| <math>m_{20}</math>
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| <math>m_{21}</math>
 +
| <math>m_{22}</math>
 +
| <math>m_{23}</math>
 +
|-
 +
| <math>f_0</math>
 +
| 0000
 +
| <math>(~)</math>
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| style="background:white; color:black" | 1
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| 0
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| style="background:white; color:black" | 1
 +
| 0
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| style="background:white; color:black" | 1
 +
|-
 +
| <math>f_1</math>
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| 0001
 +
| <math>(u)(v)\!</math>
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| 0
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
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| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
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| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| 0
 +
| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
 +
| 0
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| 0
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| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
|-
 +
| <math>f_2</math>
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| 0010
 +
| <math>(u) v\!</math>
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| 0
 +
| 0
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| 0
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| 0
 +
| 0
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| 0
 +
| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
|-
 +
| <math>f_3</math>
 +
| 0011
 +
| <math>(u)\!</math>
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
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| 0
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
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|-
 +
| <math>f_4</math>
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| 0100
 +
| <math>u (v)\!</math>
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| 0
 +
| 0
 +
| 0
 +
| 0
 +
| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| 0
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
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| style="background:white; color:black" | 1
 +
| style="background:white; color:black" | 1
 +
|-
 +
| <math>f_5</math>
 +
| 0101
 +
| <math>(v)\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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|-
 +
| <math>f_6</math>
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| 0110
 +
| <math>(u, v)\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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|-
 +
| <math>f_7</math>
 +
| 0111
 +
| <math>(u v)\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
|-
 +
| <math>f_8</math>
 +
| 1000
 +
| <math>u v\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
|-
 +
| <math>f_9</math>
 +
| 1001
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| <math>((u, v))\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
|-
 +
| <math>f_{10}</math>
 +
| 1010
 +
| <math>v\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
|-
 +
| <math>f_{11}</math>
 +
| 1011
 +
| <math>(u (v))\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
|-
 +
| <math>f_{12}</math>
 +
| 1100
 +
| <math>u\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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|-
 +
| <math>f_{13}</math>
 +
| 1101
 +
| <math>((u) v)\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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|-
 +
| <math>f_{14}</math>
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| 1110
 +
| <math>((u)(v))\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
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|-
 +
| <math>f_{15}</math>
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| 1111
 +
| <math>((~))\!</math>
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 +
| 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
 
|}<br>
 
|}<br>
  
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