## What is Syllogism?

Syllogism is a Greek word that means ‘inference’ or ‘deduction’. In this form of reasoning, we draw a conclusion based on the two given or assumed propositions.

For Example:

**Proposition 1:** All A’s are B’s.

**Proposition 2: **All B’s are C’s.

From the above statements, we can conclude that **All A’s are C’s**.

*(The assumed propositions are also known as premises because the validity of a conclusion depends on them.)*

So, the problems of syllogism consists of two parts:

1. Propositions (these are given to you)

2. Conclusion(s), that you need to draw based on the relationship existing between the different elements of the propositions.

**It is easy to solve these problems using Venn Diagrams. Let’s see the Venn Diagram of the example mentioned above:**

**Logic behind drawing Venn Diagram:** Based on the first proposition, which states All A’s are B’s, the circle representing A (the innermost one) lies within the circle representing B (the middle one). Similarly, based on the second proposition, the circle representing B lies within the circle representing C (the outermost one).

From the Venn Diagram, we can clearly see that **All A’s are C’s**.

In this course, we will learn to solve syllogism problems using Venn Diagram approach only.

**Your Turn:**

Let’s practice what we have learnt. Assuming the statements given below to be true, draw a Venn Diagram to represent them and then using that write your conclusions.

Proposition 1: All horses are animals.

Proposition 2: All animals are beautiful.

The problem is similar to the example we discussed in the text. The Venn Diagram will look like this:

From the Venn Diagram, we can infer that **All horses are beautiful**.

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