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IQ-Power
2007
US$ 20.00

Local Context

IQ Power has a surprise for those who think that it just uses a simple extension of the binary logic system into a ternary logic system. Ternary logic has features that make it necessary to combine new methods and procedures into the problem solving engine. The use of local context is one such feature.

Not everything is readily defined by universal context, nor can everything be defined by any of the sub-contexts within the scope allowed by the universal context. Such situations require the search for locally produced contextual indications that cannot violate the universal context because the universal context offers no indication of an answer. An example of a real world problem is seen in the Bible. A statement to the effect that the mustard seed is the smallest of all seeds and grows into the greatest of all trees is made in the New Testament. Whether or not this statement is TRUE or FALSE falls outside of the universal context defined by Matthew 7:12 which states, "Do unto others as you would that others do unto you; for this is the Law & the Prophets". Hence this implies that the context of this statement's truth or falsehood must be sought outside of Biblical version of universal context. Thus an outside context such as provided by botany dictates that this statement is FALSE because plants have been found with smaller seeds, and greater trees than the mustard tree abound! However, locally derived contexts, such as the style or manner of speaking known to be integral to the primitive languages in which the Bible was written produce a more relevant result. From the point of view that the mustard tree and its seed is being used as a metaphor for the extent to which an individual's faith may grow, it can be argued that the exaggeration of the tree's features is not being used with respect to the tree but with respect to faith which the tree and its seeds are being used to depict. Thus the meaning of the statement in question is more accurately analysed from the more relevant local context than from an external scientific context.

NOT UNKNOWN is not readily defined unless a local context can be referred to. Unlike standalone operators NOT, being a element modifier rather than an operator, can always be found in proximity to a source of local context. Of course, local context is always secondary to universal context, so NOT FALSE is always TRUE, and NOT TRUE is always FALSE regardless the implications of local context. Disregarding relevant universal context/sub-contexts is like trying to argue that statements like, "I am the way, the life, and the truth; none come to the Father except by Me." mean that only Bible thumping Christians go to Heaven, when a statement from Luke 6:37, being universally sub-contextual to Matthew 7:12, clearly contradicts with, "...forgive and you will be forgiven...". Obviously, a local context applies to this former example such that the New Testament need not contradict its most fundamental principles! For example, if we again take the metaphorical nature of the original language we discover that Christ could just as easily have been referring to the message that He is delivering as to Himself - and it is exactly this kind of metaphorical expression that occurs in the lead up to the events of John 6:66. This kind of reasoning does not carry the priority of a mission statement but it does prove its validity by bringing potentially contradictory interpretations in line with the mission statement or global context.

Primary Local Context

Returning to the problem at hand. NOT UNKNOWN cannot stand alone in a ternary logic system. Therefore it is interpreted in accordance with sources of primary or secondary context, depending on which is available. We use the immediately preceding operator within the same priority level or inside the same brackets to define the local context for NOT UNKNOWN such that NOT UNKNOWN may be interpreted as follows:

...And NOT 0 is the same as ...And 2
...For NOT 0
is the same as ...For 2
...Or NOT 0
is the same as ...Or 1
...Against NOT 0
is the same as ...Against 1
...Maybe NOT 0
is the same as ...Maybe 0
...With NOT 0
is the same as ...With 0

...Nand NOT 0 is the same as ...Nand 1
...Nfor NOT 0
is the same as ...Nfor 1
...Nor NOT 0
is the same as ...Nor 2
...Nagainst NOT 0
is the same as ...Nagainst 2
...Nmaybe NOT 0
is the same as ...Nmaybe 0
...Nwith NOT 0
is the same as ...Nwith 0

...Xand NOT 0 is the same as ...Xand 2
...Xfor NOT 0
is the same as ...Xfor 2
...Xor NOT 0
is the same as ...Xor 1
...Xagainst NOT 0
is the same as ...Xagainst 1
...Xmaybe NOT 0
is the same as ...Xmaybe 0
...Xwith NOT 0
is the same as ...Xwith 0

Secondary Local Context

What if there is no preceding operator at the same level of priority or within the same brackets? Then we use the immediately following operator within the same priority level or inside the same brackets to define the local context for Not UNKNOWN such that Not UNKNOWN may be interpreted as follows:

NOT 0 And... is the same as 2 And
NOT 0 For...
is the same as 1 For...
NOT 0 Or...
is the same as 1 Or...
NOT 0 Against...
is the same as2 Against...
NOT 0 Maybe...
is the same as 0 Maybe...
NOT 0 With...
is the same as 0 With...

NOT 0 Nand... is the same as 1 Nand...
NOT 0 Nfor...
is the same as 1 Nfor...
NOT 0 Nor...
is the same as 2 Nor...
NOT 0 Nagainst...
is the same as 2 Nagainst...
NOT 0 Nmaybe...
is the same as 0 Nmaybe...
NOT 0 Nwith...
is the same as 0 Nwith...

NOT 0 Xand... is the same as 1 Xand...
NOT 0 Xfor...
is the same as 2 Xfor...
NOT 0 Xor...
is the same as 2 Xor...
NOT 0 Xagainst...
is the same as 1 Xagainst...
NOT 0 Xmaybe...
is the same as 0 Xmaybe...
NOT 0 Xwith...
is the same as 0 Xwith...

Be warned! The tendency for typical assumptions associated with sources of context to cause swings in interpretations drawn from such sources when they are secondary, as opposed to being primary sources of local context; applies in this tertiary logic model as much as it does in real life. When using a secondary local context, always make sure that no primary local context is available, and always check to make sure that the source operator is interpreted as a secondary rather than as a primary source of context.

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