Mastering the Syllogism: How to Build Logical Proofs in Mantiq

The Heart of Logic: Building Certainty with Al-Qiyas (The Syllogism)

We have reached the pinnacle of Ilm al-Mantiq. In our previous posts, we learned how to define terms and build single sentences. But logic truly begins when we combine those sentences to uncover truths we didn't know before. This process is called Al-Qiyas.

What is a Syllogism (Al-Qiyas)?

A Syllogism is a set of statements (premises) that, if true, logically force a conclusion to be true. It is the most reliable way to prove an argument in science, law, and theology.

A standard Syllogism consists of three parts:

1. The Minor Premise (As-Sughra): The statement containing the specific subject.
2. The Major Premise (Al-Kubra): The general rule or universal statement.
3. The Conclusion (An-Natijah): The new truth born from the first two.

The Anatomy of a Proof

To see how this works, let’s look at the most famous example in history:

Minor Premise: Socrates is a human.

Major Premise: All humans are mortal.

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Conclusion: Therefore, Socrates is mortal.

The Secret Ingredient: The Middle Term (Al-Hadd al-Awsat)

How do the two premises connect? They share a "bridge" called the Middle Term. In the example above, the word "human" is the bridge. It appears in both premises but disappears in the conclusion. Its only job is to link "Socrates" to "Mortality."

The Rule of Validity

For a Syllogism to work, it must follow strict forms (known as Ashkal). The most common form is when the Middle Term is the Predicate of the minor premise and the Subject of the major premise.

• Correct: Every A is B. Every B is C. Therefore, Every A is C.
• Incorrect: Some A are B. Some B are C. (This does not lead to a certain conclusion because the bridge is too weak!)

"A logic without Qiyas is like a car without an engine. You might have the parts, but you aren't going anywhere."

The Next Step: Avoiding Logical Fallacies

Now that you know how to build a valid argument, you must learn how to spot invalid ones. In our next post, we will look at Al-Mughalatah (Logical Fallacies)—the common traps and tricks people use to deceive others in arguments.

Can you build a syllogism using the middle term "Planet"? Try it in the comments!

Tags: #Mantiq #Logic #Syllogism #Qiyas #CriticalThinking #IslamicPhilosophy #Education