"Do or do not, there is no try." ~~~ Unknown
"You miss 100% of the shots you don't take" ~~~ Unknown (I find this quotation particularly motivating).
"In mathematical English, applying the conditional operator to P and Q produces a sentence that may be written, "If P, then Q", or "P implies Q". (Fine point.) Sentences of this form are conditional assertions. Conditional assertions are at the very heart of mathematical reasoning. Mathematical proofs typically consist of chains of conditional assertions.
A conditional assertion "If P then Q" has the precise truth table shown here. The meaning of "If P then Q" is determined entirely by the truth values of P and Q and this truth table. The meaning is not determined by the usual English meanings of the words "if" and "then".
The truth table can be summed up by saying: A conditional is true unless the hypothesis is true and the conclusion is false. That means that to prove "If P then Q" is FALSE you must show that P is TRUE(!) and Q is FALSE." ~~~ Charles Wells, Professor Emeritus of Mathematics at
"My Mama always said, 'Life was like a box of chocolates; you never know what you're gonna get.'" ~~~ Kurt Cobain
Thank you for taking the time out of this wonderful day to read my humble post. Have a great life!