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##### Asked by: Ineva Kimmich

technology and computing information and network security# What is categorical syllogism in logic?

Last Updated: 20th April, 2020

**categorical syllogism**is an argument consisting of exactly three

**categorical**propositions (two premises and a conclusion) in which there appear a total of exactly three

**categorical**terms, each of which is used exactly twice. The other premise, which links the middle and minor terms, we call the minor premise.

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Keeping this in consideration, how do you write a categorical syllogism?

**There are six rules that categorical syllogisms must obey:**

- All syllogisms must contain exactly three terms, each of which is used in the same sense.
- The middle term must be distributed in at least one premise.
- If a major or minor term is distributed in the conclusion, then it must be distributed in the premises.

Subsequently, question is, what are the 8 rules of categorical syllogism? **The 8 rules of syllogism are as follow:**

- There should only be three terms in the syllogism, namely: the major term, the minor term, and the middle term.
- The major and the minor terms should only be universal in the conclusion if they are universal in the premises.
- The middle term must be universal at least once.

In this manner, what is a syllogism in logic?

A **syllogism** (Greek: συλλογισμός syllogismos, "conclusion, inference") is a kind of **logical** argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true.

What are the three types of syllogism?

**There are three major types of syllogism:**

- Conditional Syllogism: If A is true then B is true (If A then B).
- Categorical Syllogism: If A is in C then B is in C.
- Disjunctive Syllogism: If A is true, then B is false (A or B).