It took years to create to develop methods and platforms to ease the way of doing things. Being the only animal that is more diverse and versatile with a brain capable of thinking critically and more precisely, it becomes our onus to serve the world to the best of our capabilities.
We serve the society as students, researchers, teachers, businessman, doctors, engineers, chefs and so on. Each of us owes something to the world in various forms. We have created plenty of operation instruments and similar platforms to give back to society as a tribute for everything that it has been doing for us.
Today I would be tracking down the similar creation that fetched a sigh of relief to the faces of the industrious students and dedicated professionals. I would indeed be jotting down about the truth table that eased our way of performing complex mathematical operations.
What is truth table?
It is a table that shows the truth values for an expression. It is a mathematical table used in logic to perform complex logical expressions, specifically in connection with Boolean algebra, boolean functions and propositional calculus in a nutshell. It is a table representing the output values of a logical expression based on their inputs.
It used to be a tough and grueling task but the advent of platforms like truth table generator and truth table maker have dragged its complexities and stiffness to the ground. It is now easy to perform and make such logical operation in several different formats.
Should we peep back into the history?
Ludwig Wittgenstein, a philosopher is considered to have invented the truth table in his meticulously written thesis Tractatus Logico-Philosophicus which was subjected to various intricate alligations for its being an imitation of another thesis with few reforms and creativity that appeared at least a year earlier in a paper on propositional logic by Emil Leon Post.
Apart from these controversies, Irving Anellis has done the research in 1983 to show that C. S. Peirce appears to be the earliest logician to devise a truth table matrix through his deliberate and precise summary of his paper.
Let’s discuss the application of it
Truth table makers and generators extensively make and generate many other logical equivalences respectively and the condensed truth tables are used for binary operations.
Apart from its usages in carrying out mathematical logical operations in boolean algebra and boolean functions, it is used in digital logics too.
It is often used by business analysts to describe complicated algorithms and to show if an account could be eligible for certain treatments.
The developers used to use this table to program the software development in digital electronics and the testers used it to build test cases with this same truth tables.
Books that polish your knowledge base…
“Religiously reading three books on any niche is considered enough to be the master the matter.”
The Oxford handbook of mathematics and logics tops the list followed by Think about mathematics: the philosophy of mathematics , LOGIC; a very short introduction and The principle of mathematics by Bertrand Russell(1903).