[Inquiry] Re: Logic Of Relatives

[Jon Awbrey]

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LOR.  Note 28

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Just to be doggedly persistent about it all, here is what
ought to be a sufficient sample of products involving the
multiplication of a comma relative onto an absolute term,
presented in both graphical and matrical representations.

Example 1.  Anything That Is Anything

1,1  =  1

"anything that is anything"  =  "anything"

B   C   D   E   I   J   O
+   +   +   +   +   +   +  1
|   |   |   |   |   |   |
|   |   |   |   |   |   |  1,
|   |   |   |   |   |   |
o   o   o   o   o   o   o  =

+   +   +   +   +   +   +  1
B   C   D   E   I   J   O

| 1 0 0 0 0 0 0 | | 1 |     | 1 |
| 0 1 0 0 0 0 0 | | 1 |     | 1 |
| 0 0 1 0 0 0 0 | | 1 |     | 1 |
| 0 0 0 1 0 0 0 | | 1 |  =  | 1 |
| 0 0 0 0 1 0 0 | | 1 |     | 1 |
| 0 0 0 0 0 1 0 | | 1 |     | 1 |
| 0 0 0 0 0 0 1 | | 1 |     | 1 |

Example 2.  Anything That Is Man

1,m  =  m

"anything that is man"  =  "man"

B   C   D   E   I   J   O
o   +   o   o   +   +   +  m
|   |   |   |   |   |   |
|   |   |   |   |   |   |  1,
|   |   |   |   |   |   |
o   o   o   o   o   o   o  =

o   +   o   o   +   +   +  m
B   C   D   E   I   J   O

| 1 0 0 0 0 0 0 | | 0 |     | 0 |
| 0 1 0 0 0 0 0 | | 1 |     | 1 |
| 0 0 1 0 0 0 0 | | 0 |     | 0 |
| 0 0 0 1 0 0 0 | | 0 |  =  | 0 |
| 0 0 0 0 1 0 0 | | 1 |     | 1 |
| 0 0 0 0 0 1 0 | | 1 |     | 1 |
| 0 0 0 0 0 0 1 | | 1 |     | 1 |

Example 3.  Man That Is Anything

m,1  =  m

"man that is anything"  =  "man"

B   C   D   E   I   J   O
+   +   +   +   +   +   +  1
    |           |   |   |
    |           |   |   |  m,
    |           |   |   |
o   o   o   o   o   o   o  =

o   +   o   o   +   +   +  m
B   C   D   E   I   J   O

| 0 0 0 0 0 0 0 | | 1 |     | 0 |
| 0 1 0 0 0 0 0 | | 1 |     | 1 |
| 0 0 0 0 0 0 0 | | 1 |     | 0 |
| 0 0 0 0 0 0 0 | | 1 |  =  | 0 |
| 0 0 0 0 1 0 0 | | 1 |     | 1 |
| 0 0 0 0 0 1 0 | | 1 |     | 1 |
| 0 0 0 0 0 0 1 | | 1 |     | 1 |

Example 4.  Man That Is Noble

m,n  =  "man that is noble"

B   C   D   E   I   J   O
o   +   +   o   o   o   +  n
    |           |   |   |
    |           |   |   |  m,
    |           |   |   |
o   o   o   o   o   o   o  =

o   +   o   o   o   o   +  m,n
B   C   D   E   I   J   O

| 0 0 0 0 0 0 0 | | 0 |     | 0 |
| 0 1 0 0 0 0 0 | | 1 |     | 1 |
| 0 0 0 0 0 0 0 | | 1 |     | 0 |
| 0 0 0 0 0 0 0 | | 0 |  =  | 0 |
| 0 0 0 0 1 0 0 | | 0 |     | 0 |
| 0 0 0 0 0 1 0 | | 0 |     | 0 |
| 0 0 0 0 0 0 1 | | 1 |     | 1 |

Example 5.  Noble That Is Man

n,m  =  "noble that is man"

B   C   D   E   I   J   O
o   +   o   o   +   +   +  m
    |   |               |
    |   |               |  n,
    |   |               |
o   o   o   o   o   o   o  =

o   +   o   o   o   o   +  n,m
B   C   D   E   I   J   O

| 0 0 0 0 0 0 0 | | 0 |     | 0 |
| 0 1 0 0 0 0 0 | | 1 |     | 1 |
| 0 0 1 0 0 0 0 | | 0 |     | 0 |
| 0 0 0 0 0 0 0 | | 0 |  =  | 0 |
| 0 0 0 0 0 0 0 | | 1 |     | 0 |
| 0 0 0 0 0 0 0 | | 1 |     | 0 |
| 0 0 0 0 0 0 1 | | 1 |     | 1 |

Jon Awbrey

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