Why predicate logic

Typically, numeric phrases tell us how a statement applies to a group, affecting how we negate an assertion. Sarah is 21 years old. As the range of possibilities is too broad, we need to apply one of two types of quantifiers to help us achieve our goal:. Universal Quantification is the proposition that a property is true for all the values of a variable in a particular domain, sometimes called the domain of discourse or the universe of discourse. Existential quantification is the proposition that a property is true for some value in a particular domain.

Remember that negation must have the complete opposite truth value from the original statement. Together we will learn how to negate quantifiers, similar to the examples above, and turn statements into symbols and symbols into English statements.

Before we jump into the video lesson, I want to mention that predicate logic , also called predicate calculus , will consider the notion of atoms or atomic formulas in some textbooks. A predicate name, followed by a list of variables such as P x, y , where P is the predicate name, and x and y are variables or terms, is referred to as an atomic formula or atom.

So, as we know, a predicate is an expression of one or more variables defined on some domain, and an atom is the most straightforward well-formed formula in logic. A well-formed formula , sometimes abbreviated to wff , is obtained by composing atoms with logical connectives and quantifiers. Therefore, a well-formed formula is a predicate with the following properties:.

During this lesson, we will refrain from using the phrases atoms or atomic formulas and simply call them predicates and quantifiers, as is common in most Discrete Mathematics courses. But it is nice to know that predicate logic, which is the study of propositions containing variables, has synonymous terms and properties that can and will be used in future mathematics courses.

Alright, so together in this lesson, we will focus on writing predicates, using quantification to construct well-formed formulas, and using our logic rules to negate statements containing quantifiers. Get access to all the courses and over HD videos with your subscription. Get My Subscription Now. Python Design Patterns. Python Pillow. Python Turtle. Verbal Ability. Interview Questions. Company Questions. Artificial Intelligence. Cloud Computing. Data Science. Angular 7. Machine Learning.

Data Structures. Operating System. Computer Network. Compiler Design. Computer Organization. Ethical Hacking. Computer Graphics. Software Engineering. Web Technology. Cyber Security. C Programming. Control System. Data Mining. Data Warehouse. Javatpoint Services JavaTpoint offers too many high quality services. Predicate Logic - Definition A predicate is an expression of one or more variables determined on some specific domain. The following are some examples of predicates.