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In order to show what all of the thematic extensions from two dimensions to three dimensions look like in terms of coordinates, Tables&nbsp;28 and 29 present ordinary truth tables for the functions ''f''<sub>''i''</sub>&nbsp;:&nbsp;'''B'''<sup>2</sup>&nbsp;&rarr;&nbsp;'''B''' and for the corresponding thematizations &theta;''f''<sub>''i''</sub>&nbsp;=&nbsp;&phi;<sub>''i''</sub>&nbsp;:&nbsp;'''B'''<sup>3</sup>&nbsp;&rarr;&nbsp;'''B'''.
 
In order to show what all of the thematic extensions from two dimensions to three dimensions look like in terms of coordinates, Tables&nbsp;28 and 29 present ordinary truth tables for the functions ''f''<sub>''i''</sub>&nbsp;:&nbsp;'''B'''<sup>2</sup>&nbsp;&rarr;&nbsp;'''B''' and for the corresponding thematizations &theta;''f''<sub>''i''</sub>&nbsp;=&nbsp;&phi;<sub>''i''</sub>&nbsp;:&nbsp;'''B'''<sup>3</sup>&nbsp;&rarr;&nbsp;'''B'''.
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<pre>
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<br>
Table 28.  Propositions on Two Variables
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{| align="center" border="1" cellpadding="0" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:96%"
o-------o-----o----------------------------------------------------------------o
+
|+ '''Table 28.  Propositions on Two Variables'''
| u   v |     | f   f   f   f   f   f   f   f   f   f   f   f   f   f   f  f  |
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|
|       |     | 00  01  02  03  04  05  06  07  08  09  10  11  12  13  14  15 |
+
{| align="center" border="0" cellpadding="4" cellspacing="0" style="background:lightcyan; font-weight:bold; text-align:center; width:100%"
o-------o-----o----------------------------------------------------------------o
+
|- style="background:paleturquoise"
|       |     |                                                               |
+
| u v || &nbsp;
| 0 |     | 1   0   1   0   1   0   1   0   1   0   1   0   1   0   1 |
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|f<sub>0</sub>||f<sub>1</sub>||f<sub>2</sub>||f<sub>3</sub>
|       |     |                                                               |
+
|f<sub>4</sub>||f<sub>5</sub>||f<sub>6</sub>||f<sub>7</sub>
| 0   1 |     | 0   0  1   1   0   0   1   1   0   0   1   1   0   0   1   1 |
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|f<sub>8</sub>||f<sub>9</sub>||f<sub>10</sub>||f<sub>11</sub>
|       |     |                                                               |
+
|f<sub>12</sub>||f<sub>13</sub>||f<sub>14</sub>||f<sub>15</sub>
| 0 |     | 0   0   0   0  1   1   1   1   0   0   0   0   1   1  1  1 |
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|-
|       |     |                                                               |
+
| 0 0 || &nbsp; ||0||1||0||1||0||1||0||1||0||1||0||1||0||1||0||1
| 1   1 |     | 0   0   0   0   0   0   0   0   1   1   1   1   1   1  1  1 |
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|-
|       |     |                                                               |
+
| 0 1 || &nbsp; ||0||0||1||1||0||0||1||1||0||0||1||1||0||0||1||1
o-------o-----o----------------------------------------------------------------o
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|-
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| 1 0 || &nbsp; ||0||0||0||0||1||1||1||1||0||0||0||0||1||1||1||1
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|-
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| 1 1 || &nbsp; ||0||0||0||0||0||0||0||0||1||1||1||1||1||1||1||1
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|}
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|}
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