- #1
Sikz
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Every statement of a truth or a falsehood is a negation of its opposite.
"This tree is here."
This is a negation of "This tree is not here."
"There is not a tree here."
This is a negation of "There is a tree here."
Both of these can be understood by logic. More complicated concepts are negations as well. I shall put a statement and its negation (in actuality, they are each negations of each other) now in a list:
"Rabbits exist."
"Rabbits do not exist."
"Rabbits act like this."
"Rabbits do not act like this."
Notice that "Rabbits exist." depends upon "Rabbits do not exist."- it has absolutely no dependency upon "Rabbits do not act like this." The state of rabbits is not in question, but rather the existence of rabbits in any state.
So logically, any statement is understood as a negation of its opposite. No set of a statement and its opposite is possible:
"Rabbits exist AND Rabbits do not exist."
"The tree is here AND the tree is not here."
These are "logical impossibilites" of the higher order. "Logical impossibilities" can also denote a conclusion that is disproved by logic from a set of axioms- these are "logical impossibilities" of the lower order; they are not TRUE impossibilities due to logic, but due to the axioms chosen. Whenever the terms "logical impossibilities" and "logical impossibility" are used in this document it is implied that they are of the higher order.
Why are these logical impossibilities? Because they have no negations. What is the opposite of "Rabbits exist AND Rabbits do not exist."? There is none! Therefore the statement is meaningless.
Now we come to the reason why we cannot come to a logical understanding of reality in relation to the unreal or of the universe in relation to nothing.
"The universe exists." This statement is understood as the negation of "The universe does not exist." We can look at either of these states and examine them; but in our attempted study of their definitions in relation to each other, we find our progress blocked- we can only describe them as opposites, we cannot describe in any more detail the difference (although we can describe either one by itself in a large amount of detail). This is because the statement we are trying to understand has no negation:
"The universe exists AND the universe does not exist."
As you the reader have no doubt noted, this statement is a logical impossibility.
"Reality is and reality is not."
Another logical impossibility.
There is also an interesting mathematical idea dealing with two "polarities" that can be described but never reach each other, but I shan't go into that at the moment. Anyone have any ideas on what I've posted?
"This tree is here."
This is a negation of "This tree is not here."
"There is not a tree here."
This is a negation of "There is a tree here."
Both of these can be understood by logic. More complicated concepts are negations as well. I shall put a statement and its negation (in actuality, they are each negations of each other) now in a list:
"Rabbits exist."
"Rabbits do not exist."
"Rabbits act like this."
"Rabbits do not act like this."
Notice that "Rabbits exist." depends upon "Rabbits do not exist."- it has absolutely no dependency upon "Rabbits do not act like this." The state of rabbits is not in question, but rather the existence of rabbits in any state.
So logically, any statement is understood as a negation of its opposite. No set of a statement and its opposite is possible:
"Rabbits exist AND Rabbits do not exist."
"The tree is here AND the tree is not here."
These are "logical impossibilites" of the higher order. "Logical impossibilities" can also denote a conclusion that is disproved by logic from a set of axioms- these are "logical impossibilities" of the lower order; they are not TRUE impossibilities due to logic, but due to the axioms chosen. Whenever the terms "logical impossibilities" and "logical impossibility" are used in this document it is implied that they are of the higher order.
Why are these logical impossibilities? Because they have no negations. What is the opposite of "Rabbits exist AND Rabbits do not exist."? There is none! Therefore the statement is meaningless.
Now we come to the reason why we cannot come to a logical understanding of reality in relation to the unreal or of the universe in relation to nothing.
"The universe exists." This statement is understood as the negation of "The universe does not exist." We can look at either of these states and examine them; but in our attempted study of their definitions in relation to each other, we find our progress blocked- we can only describe them as opposites, we cannot describe in any more detail the difference (although we can describe either one by itself in a large amount of detail). This is because the statement we are trying to understand has no negation:
"The universe exists AND the universe does not exist."
As you the reader have no doubt noted, this statement is a logical impossibility.
"Reality is and reality is not."
Another logical impossibility.
There is also an interesting mathematical idea dealing with two "polarities" that can be described but never reach each other, but I shan't go into that at the moment. Anyone have any ideas on what I've posted?