The word axiom comes from the Greek " ἀξίωμα " meaning " authority ", derived from the Latin " axiōma ". The word axiom is a proposal that is considered evidence and is accepted without notifying prior demonstration, in a hypothetical deductive method in which it is the technique or path followed by the researcher to make his activity a scientific practice of all non-consequential suggestions, but rather which is established by a general rule of ideas of reasoning.
In logic, the axiom is the formal branch that studies the principles of argument and valid inference, which is the process where conclusions are derived from hypotheses, and in mathematics, it is the one in charge of the part of logical reasoning, which studies properties and relationships. Among abstract entities with numbers, which is the quantity in relation to its quantity, geometric figures is the one in charge of studying the properties and measurements of the figures in space or on the plane, and symbols are the corresponding representation of an idea, but it is also discussed for its scientific character and is considered clear statements in which it allows to deduce the other formulas.
The axioms are the most important components of a scientific investigation, whatever it may be, because they are the ones that suppose an indisputable truth that establishes in its content and difficult to deny by itself from where it is possible to continue making all kinds of inferences or hypotheses that must then be confirmed or denied.
The axioms execute the scientific processes in which this method is the deductive one that is deduced to a possible scientific rule from a pre-existing axiomatic truth.
The axioms act as a trigger for scientific development because without them there would be no precedent where Traditionally, this method is the deductive one that is derived to a possible scientific rule from a pre-existing axiomatic truth.
