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VIS (2019): IB Math Studies > Logic > Flashcards

Flashcards in Logic Deck (15)
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1

What does this symbol mean?

 

 

____________ if and only if _________.

2

How do you complete the truth table for "equivalence"?

 

T if both are the same.

3

How do you complete the truth table for "implies"?

 

Always true, except T -> F.

4

How do you complete the truth table for "only or"?

 

True if either p or q are true (but not both).

5

How do you complete the truth table for "or"?

 

True if either p or q (or both) are true.

6

How do you complete the truth table for "and"?

 

True if BOTH p and q are true.

7

What does this symbol mean?

 

 

or

(but NOT both).

 

Example: You are in highschool or university?

8

What does this symbol mean?

 

 

or

(but also possibly both).

 

Example: Do you have brothers or sisters?

9

What does this symbol mean?

 

 

not

10

What does this symbol mean?

 

 

and

11

What is a contradiction?

A statement that is always false.

 

(Irrespective of the truth of the original statements.)

12

What is the

CONTRAPOSITIVE

of the statement

If not q , then not p .

13

What is the

CONVERSE

of the statement

If q, then p.

 

14

What is the

INVERSE 

of the statement

If not p, thennot q.

 

15

How do you conclude whether a statement is valid from a truth table?

A valid statement will have all T.