Conditional Statements

Conditionals are very important in any discipline that uses logic

If, Then< conclusion> *Usually the hypothesis follows the If and the conclusion follows the Then

Ways to Write a Conditional

Implied Then

Sometimes you may not see the "Then" in a conditional. This is called the implied Then.

Eg. If I drink my milk, I'll grow to be tall

Sometimes there is no If and there is no Then

Eg. If I don't study for my test, Then I will fail

Converse- the converse of a conditional statement is a conditional whose hypothesis and conclusion have been interchanged

Original Converse

P: I die today

Q: I'll be the happiest person alive

1. If p Then q- If I die today then I'll be the happiest person alive 1. If I'm the happiest person alive then I'll die today

2. q if p- I'll be the happiest person if I die today 2. I'll die today if I'm the happiest person alive

3. p => q- Dying today implies I'll be the happiest person alive 3. Being the happiest person alive implies I'll die today

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Notes on "If Then" statements.

Chapter 2: If Then Statements and Converses