A categorical theory ensures all its models are isomorphic. This means different representations describe the same underlying mathematical structure, providing…
A bound variable is a symbol within a logical formula that is governed by a quantifier. It's essential for defining…
Boolean operators like AND, OR, and NOT are fundamental in logic and computer science. They perform logical operations on operands,…
Boolean negation flips the truth value of a proposition. If a statement is true, its negation is false, and vice…
Boolean algebra is a branch of mathematics dealing with truth values (true/false). It's fundamental to computer science, digital logic design,…
A binary relation defines a connection between elements of one or two sets. It's fundamental in mathematics, logic, and computer…
A binary function is a fundamental concept in mathematics and logic, taking exactly two inputs to produce a single output.…
A bijective function is a powerful mathematical concept, acting as a perfect bridge between two sets. It's both injective (one-to-one)…
The Brouwer-Heyting-Kolmogorov (BHK) interpretation equates statement truth with proof existence, forming the core of constructivist logic. It emphasizes constructive evidence…
Bayes' theorem is a fundamental concept in probability theory. It provides a mathematical way to update the probability of a…