P=-P II

[trokanmariel]

One on a number line and -2 on a number line both equate as lines.

Do you mean lines, in terms of the left to right reference?

Left is a relative right and right is a relative left, but yes 1 and -2 are both lines on a number line.

The consciousness sees left and right as identical; perhaps the application of consciousness can retract the science of left to right, in the context of the science denoting outer space activity

[Scott Mayers]

[I quoted but then realized you post above has dangling close tag and I don't want to alter your comment in quote.]

"-P" posits the complement, not merely negating that something is NOT-P.
The complement is NON-P or "all that is not P". That is why it can be defined LIKE a subtraction when rephrased as "U - P" This actually means U AND-NOT** P

If we use the base 10, the complement of 9, is

"-9 = 1" because 9 plus 1 = 10.
"-1 = 9", because 1 plus 9 = 10.
"-8 = 2" becaue 8 plus 2 = 10.
"-2 = 8" because 2 plus 8 = 10.
....
"-10 = 0" because 10 plus 0 = 10.

Truth value logic (binary) happens to define "complement" this way.

"OR" does not mean 'plus' because 1 + 1 = 1


Note **: or "U BUT-NOT P" or "U EXCEPT P"

[Eodnhoj7]

[I quoted but then realized you post above has dangling close tag and I don't want to alter your comment in quote.]

"-P" posits the complement, not merely negating that something is NOT-P.
The complement is NON-P or "all that is not P". That is why it can be defined LIKE a subtraction when rephrased as "U - P" This actually means U AND-NOT** P

If we use the base 10, the complement of 9, is

"-9 = 1" because 9 plus 1 = 10.
"-1 = 9", because 1 plus 9 = 10.
"-8 = 2" becaue 8 plus 2 = 10.
"-2 = 8" because 2 plus 8 = 10.
....
"-10 = 0" because 10 plus 0 = 10.

Truth value logic (binary) happens to define "complement" this way.

"OR" does not mean 'plus' because 1 + 1 = 1


Note **: or "U BUT-NOT P" or "U EXCEPT P"

Outside standard logic, a "+P" means a "positive P" thus P exists; a "-P" means a "negative P" thus P does not exist.

Taking the symbols of "+" and "-" out of the equation due to language differences, a positive P is equivalent to the negation of a negative P. Negative P contains P as the negation of negative P (which is P). P contains negative P as the negation of P. Value is derived from negation thus P and Negative P equate as one contains the other.

1. P results from the negation of negative of P.
2. Negative P results from the negation of P.
3. P results in -P through its negation; Negative P results in P through its negation.
4. Both P and Negative P result in each other through negation; they switch positions when both are nullified. Because they can switch positions, through negation alone, they equate through but not without this negation. Negation allows two seemingly opposites to equate.