The mathematics (or mathematics ) is considered as a formal science deals with abstract entities or reference or ideal, as the numbers.
should be examined whether conceptually fields as diverse as topology, arithmetic and geometry are part of the same discipline that is "math."
Anyway, a statement about the characteristics certain numbers known as "relatively prime" is a mathematical, it speaks of numbers.
But an analysis on what constitutes truth in mathematics is formulated from a metalanguage (language that refers to another language, known it as object language) and is therefore a meta-reflection .
belongs to the philosophy of mathematics reflection on what is truth in mathematics or perhaps we can speak of such a thing in this set of disciplines.
also the question about the consistency of mathematics is meta-character, as well as many reflections belong to the field of philosophy of formal sciences.
could even go further and differentiate meta-analysis of studies metaformales, in the sense that the object of reflection are not mathematics but the formal sciences in general.
A statement made from a speech metaformal our question above is whether, for example, topology, arithmetic and geometry foman part of the same scientific discipline called mathematics.
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