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# Conditional Statements and Deductive Reasoning

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##### Description:
1.

Define deductive reasoning, and introduce the laws of logic (Law of Detachment: If p→q is a true conditional and p is true, then q is true. Law of Syllogism: If p→q is a true conditional, and q→r is a true conditional, then p→r is a true conditional).

2.

Provide several examples using the law of detachment and the law of syllogism.

3.

Provide some examples that demonstrate how to make arguments using deductive reasoning.

4.

Provide examples of converse, inverse and contrapositive of  "if-then" statements.

This packet should help a learner seeking to understand deductive reasoning.

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Tutorial

## Introduction to Deductive Reasoning

This video defines deductive reasoning and explains the law of Syllogism, which states that if P implies Q and Q implies R, then P implies R.

Source: Salman Khan on Guaranteach

## The Laws of Logic

This video introduces the Law of Detachment and the Law of Syllogism more formally, showing how they're used to form logical statements.

## Examples of the Application of the Laws of Logic

This video provides a number of examples that demonstrate how the laws of logic are applied.

## Making Arguments with Deductive Reasoning

This video demonstrates how to make arguments using deductive reasoning.

## More on Conditional Statements

This video provides examples of converse, inverse and contrapositives of "if-then" statements.