12,089
edits
Changes
MyWikiBiz, Author Your Legacy — Thursday September 18, 2025
Jump to navigationJump to searchUser:Jon Awbrey/SCRATCHPAD (view source)
Revision as of 22:40, 27 January 2009
, 22:40, 27 January 2009→Logical Translation Rule 1
L1b11. [True] = (()) = 1 : U->B.
L1b11. [True] = (()) = 1 : U->B.
</pre>
</pre>
<br>
{| align="center" cellpadding="0" cellspacing="0" style="border-left:1px solid black; border-top:1px solid black; border-right:1px solid black; border-bottom:1px solid black" width="90%"
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:48px; text-align:right"
| width="98%" | <math>\text{Logical Translation Rule 1}\!</math>
| width=2%" |
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" width="100%"
|- style="height:48px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" | <math>\text{If}\!</math>
| width="80%" style="border-top:1px solid black" |
<math>s ~\text{is a sentence about things in the universe X}</math>
|- style="height:48px"
|
| <math>\text{and}\!</math>
| <math>p ~\text{is a proposition} ~:~ X \to \underline\mathbb{B}</math>
|- style="height:48px"
|
| <math>\text{such that:}\!</math>
|
|- style="height:48px"
|
| <math>\text{L1a.}\!</math>
| <math>\downharpoonleft s \downharpoonright ~=~ p</math>
|- style="height:48px"
|
| <math>\text{then}\!</math>
| <math>\text{the following equations hold:}\!</math>
|}
|-
|
{| align="center" cellpadding="0" cellspacing="0" style="text-align:center" width="100%"
|- style="height:56px"
| width="2%" style="border-top:1px solid black" |
| width="18%" style="border-top:1px solid black" align="left" | <math>\text{L1b}_{00}.\!</math>
| width="20%" style="border-top:1px solid black" |
<math>\downharpoonleft \operatorname{false} \downharpoonright</math>
| width="5%" style="border-top:1px solid black" | <math>=\!</math>
| width="20%" style="border-top:1px solid black" | <math>(~)</math>
| width="5%" style="border-top:1px solid black" | <math>=\!</math>
| width="30%" style="border-top:1px solid black" |
<math>\underline{0} ~:~ X \to \underline\mathbb{B}</math>
|- style="height:56px"
|
| align="left" | <math>\text{L1b}_{01}.\!</math>
| <math>\downharpoonleft \operatorname{not}~ s \downharpoonright</math>
| <math>=\!</math>
| <math>(\downharpoonleft s \downharpoonright)</math>
| <math>=\!</math>
| <math>(p) ~:~ X \to \underline\mathbb{B}</math>
|- style="height:56px"
|
| align="left" | <math>\text{L1b}_{10}.\!</math>
| <math>\downharpoonleft s \downharpoonright</math>
| <math>=\!</math>
| <math>\downharpoonleft s \downharpoonright</math>
| <math>=\!</math>
| <math>p ~:~ X \to \underline\mathbb{B}</math>
|- style="height:56px"
|
| align="left" | <math>\text{L1b}_{11}.\!</math>
| <math>\downharpoonleft \operatorname{true} \downharpoonright</math>
| <math>=\!</math>
| <math>((~))</math>
| <math>=\!</math>
| <math>\underline{1} ~:~ X \to \underline\mathbb{B}</math>
|}
|}
<br>
<br>
