Conjecture is called the judgments or opinions that are formed from data that are incomplete or facts, situations, circumstances that are supposed. Therefore, conjectures are those conclusions made from observations and superficial information about a fact. In mathematics, this concept is no different, since it refers to a supposedly true statement that has not been proven to be disproved. Once the veracity of any conjecture is proven, it is called a "theorem" and is used for presentations.
Among the most famous conjectures is that of Fermat, from which arises a mystery and suspense film called Fermat's Room.
In the aforementioned film, the story is told of a young man who, days before teaching his proof of the Fermet conjecture, is kidnapped in the room of his house along with other young people, who must solve puzzles and mathematical enigmas to continue in a macabre game. Other popular mathematical conjectures are: Goldbach's conjecture, twin prime numbers conjecture, Collatz's conjecture, and the abc conjecture.
On a day-to-day basis, it is common to make conjectures, especially when it comes to a topic that is of interest or on which you have a specific opinion. When it comes to this situation, guesses are nothing more than probabilities, since they are without foundation. In the field of law, conjectures are also present, specifically when it comes to trials, where arguments for and against are presented, based on a series of true facts; If these speeches are based on only inaccurate or unsupported data, they will be considered conjecture and therefore invalid.
