# Is a B true?

Category:
technology and computing
artificial intelligence

A statement of the form “If A, then

**B**” asserts that if A is**true**, then**B**must be**true**also. If the statement “If A, then**B**” is**true**, you can regard it as a promise that whenever the A is**true**, then**B**is**true**also.

Similarly one may ask, is true and false true?

Logical Operators: AND, OR, and NOT BOTH conditions have to evaluate to **true** (have to be **true**) before the entire expression is **true**. **True** is written: **true**; **False** is written: **false**; Not is written in a variety of ways.

**True**or

**false**is variously said of something that must be considered as correct (

**true**) or incorrect (

**false**).

Then, why false implies true is true?

So the reason for the convention '**false implies true is true**' is that it makes statements like x<10→x<100 **true** for all values of x, as one would expect. A conditional statement p→q is **false** only if the hypothesis p is **true** and the conclusion q is **false**.

“**Not true**” is when cons obviously and/or significantly outweigh the pros;used when discussing opinions/options. “**False**” is used with facts. It's either **true** or **false**, and there's **no** in-between.