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Topic: Matheology § 210
Replies: 80   Last Post: Feb 8, 2013 5:45 PM

 Messages: [ Previous | Next ]
 fom Posts: 1,968 Registered: 12/4/12
Re: Matheology § 210
Posted: Feb 7, 2013 8:43 AM

On 2/7/2013 1:04 AM, WM wrote:
> Now try to learn to apply the basics.

You are to stupid to understand my
version of the basics.

For example, this is how a proposition
is defined.

===========================

The ortholattice

TRU

/ \
/ \
/ \
/ \
/ \
/ \

NO ALL

| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |

OTHER SOME

\ /
\ /
\ /
\ /
\ /
\ /

NOT

is a sublattice of the one constructed
from our line names.

Let A be some linguistic expression.

The expressions:

A
NOR(A,A)
NOR(NOR(A,NOR(A,A)),NOR(A,NOR(A,A)))
NOR(NOR(A,A),NOR(NOR(A,A),NOR(A,A)))

label vertices in a lattice corresponding
to the free DeMorgan algebra on one
generator:

TRU

|
|
|

NOR(NOR(A,NOR(A,A)),NOR(A,NOR(A,A)))

/ \
/ \
/ \

A NOR(A,A)

\ /
\ /
\ /

NOR(NOR(A,A),NOR(NOR(A,A),NOR(A,A)))

|
|
|

NTRU.

Then, A is a proposition if and only if all
maps from the free DeMorgan algebra generated
from A into the sublattice from our
20-element ortholattice has

TRU --> TRU
NOR(NOR(A,NOR(A,A)),NOR(A,NOR(A,A))) --> TRU

NTRU --> NOT
NOR(NOR(A,A),NOR(NOR(A,A),NOR(A,A))) --> NOT

and one of

A --> ALL
NOR(A,A) --> OTHER

A --> SOME
NOR(A,A) --> NO

A --> OTHER
NOR(A,A) --> ALL

A --> NO
NOR(A,A) --> SOME

Note that the top and bottom correspond to
the ideal points significant to the topology
on the connectivity algebra.

Date Subject Author
2/5/13 mueckenh@rz.fh-augsburg.de
2/5/13 fom
2/5/13 mueckenh@rz.fh-augsburg.de
2/5/13 William Hughes
2/5/13 mueckenh@rz.fh-augsburg.de
2/5/13 William Hughes
2/5/13 Virgil
2/5/13 fom
2/5/13 Virgil
2/5/13 fom
2/6/13 mueckenh@rz.fh-augsburg.de
2/6/13 fom
2/6/13 mueckenh@rz.fh-augsburg.de
2/6/13 Virgil
2/6/13 fom
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 Virgil
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 Virgil
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 William Hughes
2/8/13 mueckenh@rz.fh-augsburg.de
2/8/13 Virgil
2/8/13 fom
2/8/13 mueckenh@rz.fh-augsburg.de
2/8/13 Michael Stemper
2/8/13 mueckenh@rz.fh-augsburg.de
2/8/13 Virgil
2/8/13 Virgil
2/7/13 Virgil
2/7/13 Virgil
2/7/13 fom
2/8/13 mueckenh@rz.fh-augsburg.de
2/8/13 Virgil
2/7/13 Virgil
2/7/13 fom
2/7/13 Virgil
2/7/13 fom
2/7/13 Virgil
2/8/13 mueckenh@rz.fh-augsburg.de
2/8/13 Virgil
2/7/13 Virgil
2/7/13 fom
2/7/13 Virgil
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 fom
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 fom
2/7/13 Virgil
2/8/13 mueckenh@rz.fh-augsburg.de
2/7/13 Virgil
2/7/13 fom
2/7/13 fom
2/7/13 fom
2/7/13 fom
2/7/13 fom
2/7/13 fom
2/6/13 Virgil
2/5/13 Virgil
2/6/13 mueckenh@rz.fh-augsburg.de
2/6/13 Virgil
2/7/13 mueckenh@rz.fh-augsburg.de
2/7/13 Virgil
2/8/13 Scott Berg