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Logic is the art of conforming one's thoughts to the Law of Identity. In one respect, thoughts have to conform to the Law of Identity, as does everything else. This has to do with the nature of thoughts. Ideas have a different nature than memories, which are different from emotions. In this respect, all thoughts conform to the Law of Identity.
In a different respect, though, it requires focused action to conform to the Law of Identity. Ideas have content. This content is generated by the thinker from perceptual data. However, it may be generated incorrectly. Logic requires the content to be clear and identifiable. It requires that no contradiction exist within the idea.
Logic is used in integrating ideas as well. Again, it is the process of conforming to the Law of Identity. What this means in practice is combining information clearly, and without contradiction. It must be combined into a specific, identifiable package, that doesn't contradict itself.
Logic is the art of non-contradictory identification. It is the mental tool that sets the standard for proper thought. It is the foundation of knowledge. It is the means of understanding and clarity. Without logic, we could not distinguish between the true and the false. We could not throw out bad ideas because we could not judge them as bad. Without logic, our minds would be cluttered with so many absurdities and falsehoods that if there was some truth, it would be lost in the garbage of contradictions, fuzzy thoughts, and non-integrated mental images.