Saturday, March 3, 2012

Question: What is a mathematical statement?

Answer: A mathematical statement is a statement that can be judged to be true or false.
Ex. John Kennedy was a U.S. President.

Now lets go over negations.
Negations (not) always adds the opposite truth value to a mathematical statement.
Ex. John Kennedy was not a U.S. President.

When dealing with mathematical statements, we will usually look at more than one statement.
And since we will be dealing with multiple we must know what conjunctions are.
Conjunctions connect two statements with words such as and, but, or.

Ex. The President of the U.S. is Barack Obama and the vice president is Joe Biden.
And - both statements must be true for the statement to be true
Ex. I'm going to have pizza or tacos for dinner.
Or - Either statement (or both) can be true for the statement to be true.

Now let's talk about conditionals. The conditional is the most frequently used statement in the construction of an argument or in the study of mathematics (geometric proofs). There are four types of conditionals:
     -Conditional
               -Converse
                         -Inverse
                                   -Contrapositive
     
NOW YOU TRY! :D
Is the following a mathematical statement?

An owl is a fish. Yes or no?

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