## CLEP Guides

American Government Biology College Mathematics General CLEP General Tips Human Growth And Development Humanities Introductory Psychology Principles Of Marketing Sociology US History 1 US History 2# General Logic

## Arenât I Already Logical?

Perhaps your thinking why do I need to study logic, after all arenât we all logical? Well in some ways youâre right as you may be ready to answer some of the logical problems. What you are probably not familiar with is how you turn logical sentences such as: âIf itâs raining then I wear my raincoatâ into a mathematical form.

## Conditional Statements

A conditional statement will usually follow the following form although you may see other forms as well.âIf A happens then B happensâ

Conditional statements can be broken down into variables. Variables are usually a letter that represents an action or proposition in a logical sentence.

Example of using variables:

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âIf it is raining then I wear my raincoatâ

This conditional statement could be written as:

If A then B

Where

A = It Is raining

B = I wear my raincoat

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By giving variables to conditional statements we can easily manipulate the data and treat it like a math equation.

All variables have either 2 states being True or False. So in the previous example we could say.

When (A = true) then (B = True)

## Hypothesis and Conclusion

If we take our conditional statement of âIf A then Bâ we can break it down into 2 pieces the hypothesis and the conclusion. The hypothesis is the first condition that needs to be fulfilled or whatever comes after the âIfâ in this case it is A. The conclusion is what happens after the âthenâ and in this case is âBâ. So in the statement âIf it is raining then I wear my raincoatâ the hypothesis is âit is rainingâ and the conclusion is âI wear my raincoatâ.