Objectos matemáticos


“My definition of (pure) mathematics is: The use of logical principles to deduce implications (traditionally called lemmas, theorems, and corollaries) from a collection of consistent assumptions (called postulates or axioms). The axioms and theorems make claims about objects which are defined within the mathematical system. These objects, however, sometimes are informally defined— after all, we can only define things in terms of other things. To avoid circular definitions, we must take some definitions as intuitive and fundamental (this is often the case with such objects as “sets” and “points”), but this is to be kept to a minimum and the properties of these objects are elaborated in the axioms and theorems.” (Dr. Bob Gardner)



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