First Order Logic: Fundamentals and Applications
α’αααΈααααα βα’αα‘α·α ααααΌαα·αααα
First-order logic is a collection of formal systems that are utilized in the fields of mathematics, philosophy, linguistics, and computer science. Other names for first-order logic include predicate logic, quantificational logic, and first-order predicate calculus. In first-order logic, quantified variables take precedence over non-logical objects, and the use of sentences that contain variables is permitted. As a result, rather than making assertions like "Socrates is a man," one can make statements of the form "there exists x such that x is Socrates and x is a man," where "there exists" is a quantifier and "x" is a variable. This is in contrast to propositional logic, which does not make use of quantifiers or relations; propositional logic serves as the basis for first-order logic in this sense.
How You Will Benefit
(I) Insights, and validations about the following topics:
Chapter 1: First-order logic
Chapter 2: Axiom
Chapter 3: Propositional calculus
Chapter 4: Peano axioms
Chapter 5: Universal quantification
Chapter 6: Conjunctive normal form
Chapter 7: Consistency
Chapter 8: ZermeloβFraenkel set theory
Chapter 9: Interpretation (logic)
Chapter 10: Quantifier rank
(II) Answering the public top questions about first order logic.
(III) Real world examples for the usage of first order logic in many fields.
Who This Book Is For
Professionals, undergraduate and graduate students, enthusiasts, hobbyists, and those who want to go beyond basic knowledge or information for any kind of first order logic.
