## The Law of Syllogism

Definition: Let $P$, $Q$, and $R$ be statements. Then the rule of inference known as The Law of Syllogism is given by the argument $((P \rightarrow Q) \wedge (Q \rightarrow R)) \rightarrow R$. |

For example, let $P$, $Q$, and $R$ be the following statements:

- $P$: Bob has studied for the test.

- $Q$: Bob will pass the test.

- $R$: Bob will pass his class.

Then the law of syllogism states that if Bob has studies for his test implies that Bob will pass his test and if Bob passing his test implies that Bob will pass his class then Bob studying for his test implies that Bob will pass his class.

### Related post:

- Reisch receives SUNY Chancellor’s Award | News, Sports, Jobs – Evening Observer
- An overall 2nd place for Malta in an International Mental Mathematics Challenge – Malta Independent Online
- DU Admissions 2019: Mathematics Must In Best Of Four Subjects For Admission Into Eco(H); JMC, Stephen’s Stick To Old Rule – Swarajya
- Agami Education Foundation holds teachers’ training on Teaching Mathematics by Olympiad Technique – Dhaka Tribune
- 2nd place for Malta in international Mental Mathematics Challenge – Newsbook
- Darlington pupils among most-skilled mathematics in the UK – Darlington and Stockton Times
- Women and minority faculty in science, technology, engineering and mathematics (STEM) – Open Access Government
- The messy mathematics of British Columbia’s CleanBC plan – Business in Vancouver
- All Limerick student’s hard work adds up to him winning top mathematics award in Ireland – Limerick Leader
- CMU-Q researchers explore the mathematics of personalised medicine – The Peninsula Qatar