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Are if only statements different from if and only if statements This is an example of mathematical jargon. I know the truth table for the latter so if the former is different, what would the truth table look like then?

For some reason, be it some bad habit or something else, i can not understand why the statement p only if q would translate into p implies q It is an abbreviation for if and only if, indicating that one statement is both necessary and sufficient for the other For instance, i have the statement samir will attend.

In logic and related fields such as mathematics and philosophy, if and only if (often shortened as iff ) is paraphrased by the biconditional, a logical connective [1] between statements.

The word only is an important one for logical purposes To explore its intricacies, suppose that to get an a grade in math 101 you need to do two things Some uses of if and only if in writing about mathematics theorems which have the form p if and only q are much prized in mathematics They give what are called necessary and sufficient conditions, and give completely equivalent and hopefully interesting new ways to say exactly the same thing.

Both logical reasoning sections and the analytical reasoning section will use formal logic. Leaving if and only unexplained for now, we can use the following translation key to write up the argument in a mix of our propositional logic and english. The phrase if and only if is used in mathematics, logic, and statistical formulas Knowing how to use the phrase is essential for math mastery.

9.3 alternative phrases in english, it appears that there are several phrases that usually have the same meaning as the biconditional

Each of the following sentences would be translated as (p↔q) P if and only if q P just in case q P is necessary and sufficient for q

P is equivalent to q 9.4 reasoning with the biconditional how can we reason using a biconditional More general usage iff is used outside the field of logic, wherever logic is applied, especially in mathematical discussions It has the same meaning as above

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