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Welcome!. You’ll be taking notes on the sheet titled “Logic Review” Remember… you’ve learned this before, so THINK before you click. See what you remember. Take notes carefully, then you may begin your practice.

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Presentation Transcript
Welcome
Welcome!

  • You’ll be taking notes on the sheet titled “Logic Review”

  • Remember… you’ve learned this before, so THINK before you click. See what you remember.

  • Take notes carefully, then you may begin your practice


We are reviewing for the midterm a little bit at a time – this is your review of logic

That means you need to know this in a couple weeks, so move slowly, quiz yourself as you go. See what you remember before you just click for the answer.


It is not sunny.

Elephants do forget.


Fill in your notes
Fill in your notes!

“Switch”

“Negate”

“Switch and Negate”


Truth value
Truth Value

Truth value refers to whether the statement is true or false. In order for a conditional statement to be true, the conclusion must be true every time the hypothesis is true. If even one counterexample can be found, then the statement is false.

For example, take the statement “If it’s cold, I wear a jacket.” This may be true for months or years. Then, one day, you forget your jacket on a cold day and the whole statement is false.


Try first then check
Try first, then check!

T

F

If I am not in 9th grade, then I am not in high school.

F

If I am in high school, then I am in 9th grade.

T

If I am not in high school, then I am not in 9th grade.

The conditional and the contrapositive have the same truth value. The inverse and the converse have the same truth value.


How much of this do you remember
How much of this do you remember?

truth value

logically equivalent

contrapositive

conditional

converse

inverse

“If I do not wear a jacket, then it is not cold.”

CONTRAPOSITIVE


conditional

converse

If it’s Monday, then I go to school.

If I go to school, then it’s Monday.

This biconditional is not true because the converse is false. A counterexample is that if I go to school, it could be Tuesday, Wednesday, Thursday, or Friday.

In order for the biconditional to be true, both the conditional and the converse have to be true.


and

both parts

or

only one part

For this question, start by circling all the true statements and crossing off all the false statements

True. This is a conjunction with both parts true.

True. This is a disjunction with only one part true.

False. This is a conjunction without both parts true.

True. This is a conjunction with both parts true.

Valor HS offers geometry or Valor HS offers calculus.

Valor HS offers geometry and Valor HS offers biology.


You re d one taking notes
You’re done taking notes!

  • Please…

    • Rewind this presentation back to the beginning

    • Close the computer

    • Start your practice


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