biconditional

[annad95]

6. What is the truth value of the biconditional, “A figure is a square if and only if it is a rectangle.” Explain
your answer.

 

[mmm4444bot]

What have you thought about so far, in this exercise?

 

[annad95]

If a figure is a rectangle then the figure is a square.

 

[Mrspi]

If a figure is a rectangle then the figure is a square.

A "biconditional" is a statement of the form

p if and only if q

It's called a biconditional because it contains TWO conditional statements:

if p then q AND if q then p


And if a biconditional is true, then BOTH of the included conditional statements must have the same truth value.

You've given one of the included conditionals:

If a figure is a rectangle, then the figure is a square. Is this statement true?

What is the other conditional? Does it have the same truth value as the one you've written?

If one of the two included conditional statements is true, and the other is false, then the biconditional statement is false.