How to Define Anything: The Rules of At-Ta'rif in Ilm al-Mantiq

The Art of Definition: Mastering At-Ta'rif in Logic

In our previous post on the Five Universals, we gathered the ingredients needed to describe reality. Today, we learn how to put those ingredients together to form a perfect Definition (At-Ta'rif).

In Ilm al-Mantiq, a definition is called Al-Qawl al-Sharikh. Its goal is to represent a concept so clearly that it distinguishes the object from everything else in existence. Not all definitions are equal, however. Logicians categorize them into two main types:

1. Al-Hadd (The Essential Definition)

The Hadd is the highest form of definition because it uses the internal essence (the Jins and Fasl) of the thing being defined.

• Hadd Tamm (Complete): Uses the Nearest Genus + Differentia.
  Example: Defining a Human as a "Rational Animal." (Animal is the nearest genus; Rational is the specific difference).
• Hadd Naqis (Incomplete): Uses a Distant Genus + Differentia.
  Example: Defining a Human as a "Rational Body." (Body is a genus, but it is further away than 'Animal').

2. Al-Rasm (The Descriptive Definition)

Sometimes we cannot easily identify the essence of something, so we use its unique properties (Khassah) instead. This is called Rasm.

• Rasm Tamm (Complete): Uses the Nearest Genus + Unique Property.
  Example: Defining a Human as an "Animal that laughs."
• Rasm Naqis (Incomplete): Uses only the Unique Property.
  Example: Defining a Human as "A creature that writes."

The 3 Golden Rules of a Valid Definition

To ensure your definition is logically sound, it must follow these rules:

1. It must be Jami' (Inclusive): The definition must include every single individual that belongs to that category.
2. It must be Mani' (Exclusive): The definition must exclude everything that does not belong to that category.
3. No Circularity: You cannot define a word using the word itself (e.g., "Logic is the science of being logical").

Pro-Tip: In traditional texts, a good definition is often described as Jami' Mani'. If your definition is too broad, it fails the 'Mani' test. If it is too narrow, it fails the 'Jami' test.

Moving Forward: Entering the World of Propositions

Congratulations! You have completed the first major half of Logic: The Study of Concepts (Tashawwurat). In our next post, we will begin the second half: Propositions (Tasdiqat), where we learn how to build sentences that can be proven true or false.

Are you ready to start building arguments? Let me know in the comments!

Tags: #Logic #IlmAlMantiq #Definitions #Education #Philosophy #HaddAndRasm