ELI5: Explain Like I'm 5

Boolean algebras canonically defined

Boolean Algebras are a type of mathematical structure used to help understand and make decisions about complicated situations. Essentially, a boolean algebra helps you take complicated sets of facts and break them down into simpler pieces to make it easier to solve the problem. A boolean algebra is made up of elements called "Boolean variables." These variables have two possible values - either a 0 or a 1. The variables are combined using Boolean operations - mainly "and", "or", and "not". Combining the variables with these operations allows us to create logical statements that express the facts of the situation, which can then be used to make decisions. By using the Boolean Algebra, we can simplify large sets of facts into easier ones to help us make decisions.