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> |
| | | |