The brochure outlines the basic concepts related to the doctrine of the so-called Boole algebras, which play an important role in mathematical logic and are very important for all areas of modern mathematics related to electronic computers and cybernetics. The brochure defines Boole's algebra and provides numerous examples of such algebras; Specifically , The algebra of statements is specifically considered and ways of using this peculiar algebra to automate mathematical proofs are indicated The brochure contains a sufficient number of exercises (accompanied by answers). placed at the end of the brochure), providing the reader with the ability to control the assimilation of material and self-check. The brochure can also be used by the school mathematical circle; it will be read with interest not only by middle school students (7th, 8th) grades, but also by high school students .