| Line 1,417: | 
Line 1,417: | 
|   | | ''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    | 
| Line 3,565: | 
Line 3,566: | 
|   | | || || || || || || ||   |   | | || || || || || || ||   | 
|   | | || || || || || || ||   |   | | || || || || || || ||   | 
|   | + | |}<br>  | 
|   | + |  | 
|   | + |  | 
|   | + | {| 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>  | 
|   | + | | <math>m_6</math>  | 
|   | + | | <math>m_7</math>  | 
|   | + | | <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>  | 
|   | + | | <math>m_{17}</math>  | 
|   | + | | <math>m_{18}</math>  | 
|   | + | | <math>m_{19}</math>  | 
|   | + | | <math>m_{20}</math>  | 
|   | + | | <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  | 
|   | + | | 0  | 
|   | + | | style="background:white; color:black" | 1  | 
|   | + | | 0  | 
|   | + | | style="background:white; color:black" | 1  | 
|   | + | |-  | 
|   | + | | <math>f_1</math>  | 
|   | + | | 0001  | 
|   | + | | <math>(u)(v)\!</math>  | 
|   | + | | 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  | 
|   | + | | 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  | 
|   | + | | 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  | 
|   | + | |-  | 
|   | + | | <math>f_2</math>  | 
|   | + | | 0010  | 
|   | + | | <math>(u) v\!</math>  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 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  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 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  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 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  | 
|   | + | |-  | 
|   | + | | <math>f_3</math>  | 
|   | + | | 0011  | 
|   | + | | <math>(u)\!</math>  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 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  | 
|   | + | |-  | 
|   | + | | <math>f_4</math>  | 
|   | + | | 0100  | 
|   | + | | <math>u (v)\!</math>  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 0  | 
|   | + | | 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  | 
|   | + | |-  | 
|   | + | | <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  | 
|   | + | |-  | 
|   | + | | <math>f_6</math>  | 
|   | + | | 0110  | 
|   | + | | <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_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  | 
|   | + | | <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  | 
|   | + | |-  | 
|   | + | | <math>f_{13}</math>  | 
|   | + | | 1101  | 
|   | + | | <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_{14}</math>  | 
|   | + | | 1110  | 
|   | + | | <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_{15}</math>  | 
|   | + | | 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>  | 
|   |  |   |  |