"Without Jiminy Cricket on his shoulder, Pinocchio would never have become
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Liar Paradox

"Sentences may be not only true or false but meaningless because of inconsistent uses of language patterns." - Bertrand Arthur William Russell

Liar Paradox shows us that popular belief about truth and falsity actually lead to a contradiction.

Sentences can be constructed that cannot consistently be assigned a truth value even though they are completely in accord with grammar and semantic rules.

Consider the simplest version of the paradox, the sentence;

This statement is false.

If we suppose that the statement is true, everything asserted in it must be true.

However, because the statement asserts that it is itself false, it must be false.

So the hypothesis that it is true leads to the contradiction that it is both true and false.

Yet we cannot conclude that the sentence is false for that hypothesis also leads to contradiction.

If the statement is false, then what it says about itself is not true.

It says that it is false, so that must not be true. Hence, it is true.

Under either hypothesis, we end up concluding that the statement is both true and false.

We feel it must be either true or false.

This points to a contradiction in the way we abstractly visualize reality.

Since the Liar Sentence can be shown to be true if it is false and false if it is true it is neither true or false.

To solve the riddle of the Liar Paradox one must reject a common myth about truth and falsity - the claim that every statement has to be either true or false.

This is called the Principle of Bivalence.

A strengthened version of the Liar Paradox counters the proposal that the statement is neither true or false.

This statement is not true.

If it is not true or false, then it is not true, which is what it says; hence it is true which is not what it says.

The truth is every statement includes an implicit assertion of its own truth.

For example, the statement "It is true that two plus two equals four" contains no more information than the statement "two plus two is four", because the phrase "it is true that..." is always implicitly there.

Thus the statement;

This statement is false.

is said to be equivalent to;

This statement is true and this statement is false.

The latter is a simple contradiction of the form "A and not A", and hence is false.

There is no paradox because the claim that this statement is false does not lead to a contradiction.

This analysis does not provide a solution to versions of the Liar Paradox that do not use direct self-reference, such as the two-sentence version:

The next sentence is false.

The preceding sentence is true.

Neither of these is by itself contradictory, but there is no way to assign
truth values to them consistently, so we still have a paradox.

A series of sentences becomes paradoxical or congruent upon contingent facts.

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This website defines a new perspective with which to engage reality to which its author adheres. The author feels that the falsification of reality outside personal experience has forged a populace unable to discern propaganda from reality and that this has been done purposefully by an international corporate cartel through their agents who wish to foist a corrupt version of reality on the human race. Religious intolerance occurs when any group refuses to tolerate religious practices, religious beliefs or persons due to their religious ideology. This web site marks the founding of a system of philosophy named The Truth of the Way of the Lumière Infinie - a rational gnostic mystery religion based on reason which requires no leap of faith, accepts no tithes, has no supreme leader, no church buildings and in which each and every individual is encouraged to develop a personal relation with the Creator and Sustainer through the pursuit of the knowledge of reality in the hope of curing the spiritual corruption that has enveloped the human spirit. The tenets of The Truth of the Way of the Lumière Infinie are spelled out in detail on this web site by the author. Violent acts against individuals due to their religious beliefs in America is considered a "hate crime."

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