Truth Tables


The truth tables is a simple logic strategy that allows establishing the validity of several proposals regarding any situation, that is, it determines the necessary conditions for a proposed statement to be true, allowing them to be classified as tautological (they are true during any situation). ) contradictory (they are false statements in most cases) or contingent (statements that cannot be as many true as false, there is no tendency to a single meaning).

It allows different aspects of the statement such as the conditions that make it true and what are its logical conclusions, that is, if the proposed statement is true or false. This table was devised by Charles Sander Peirce around 1880, but the most widely used is Luidwin Wittgenstein’s updated model in 1921.

The construction of the table is based on the use of a letter for the result variables and if they are fulfilled they are said to be true, otherwise they are assigned the name false, for example: Statement : “If we move, my dog ​​will die”. Variables: A: If it moves- B: the dog dies.

If it is said that it is true, both variables are assigned the letter (V) and it represents the positivity of the statement, if some of the variables are not fulfilled, they are assigned the letter (F) this does not represent the falsity of the statement since with If a single variable is fulfilled, it can be designated as true, that will depend on the statement. When both values ​​are true on all occasions, it is said that there is a conjugation in the statement, on the other hand, if two true results are obtained and then one true and the other false, it is said that there is a disjunction.