Some people are intimidated by discussions about logic, there is no need for that. We use it all the time. Obviously, most of us do not get formal with it, we just reason our way through problems, play games, and so forth. Although logic discussions can use notations similar to those of algebra, the letters are shorthand and make sense.
There are some things about logic that may seem surprising. Laws of logic are intangible, like numbers. If you write "5" or "law of identity" on a board, then erase it, the number or law does not cease to exist. Logic is actually a reflection of the mind of God, and we use it because we are created in his image. Without God, then logic, numbers, and science would be impossible! Dr. Jason Lisle explains the three main laws of logic and their biblical basis in this article.
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Laws of logic are the rules of correct reasoning. They reflect the way God thinks and the way we must think if we are to think correctly. Laws of logic are also called “rules of inference.” Correct reasoning can never violate a law of logic. There are many laws of logic. But three are considered the most basic or primary. Let’s examine these three and how they stem from the mind of God.I'd be much obliged if you'd read the rest. Just click on "The Biblical Basis for the Laws of Logic". Also, you may want to look at a previous post on how using logic is a moral obligation, "Logical Thinking and the Christian". If you have a notion to read up on some logical fallacies (atheists and evolutionists use these to manipulate Christians and creationists quite frequently), click on "Logic Lessons". Finally, if you want to get going on the follow-up article on logic and unchristian worldviews, click on "Logic and the Bible 2: Unbliblical Worldviews".