This resource has been contributed by Winpossible, and can also be accessed on their website by clicking here - Getting Started - Logical reasoning
This mini-lesson; with the help of some examples, defines and deals with a statement, truth value, negation, postulate and theorem. This might seem complicated here in text, but once you have instructor explain it to you in their voice and handwriting in the video, it will be fairly easy for you to understand. You should remember that the main idea behind logical reasoning is to use the information and preconditions to make a conclusion. You will find that a variety of conditions and you must use an "if"-"then" approach. To work the solution you should read the whole problem, and choose the best hint or clue before starting.
A statement is a declarative sentence which is either true or false, but not both. The truth value refers to whether or not something is true or false. E.g. the truth value of a statement is T if it is true and F if it is false (the statement ‘2 + 3 = 5’ has truth value T). The negation is usually constructed by adding or removing “not” from the statement and it is symbolically, ~p, or p, e.g. If p is "I have a job", then ~p is "I do not have a job". While postulate is a proposition that is accepted as true in order to provide a basis for logical reasoning, a theorem is a statement that has been proven, or can be proven, from the postulates.
This FREE mini-lesson is a part of Winpossible's online course that covers all topics within Geometry. Click on the video below to go through it. If you like it, you can buy our online course in Geometry by clicking here.