"Mathematics (from Greek: μάθημα, máthēma, ´knowledge, study, learning´) is an area of knowledge, which includes the study of such topics as numbers (arithmetic and number theory), ...
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formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (calculus and analysis). There is no general consensus about its exact scope or epistemological status.
Most of mathematical activity consists of discovering and proving (by pure reasoning) properties of abstract objects. These objects are either abstractions from nature (such as natural numbers or lines), or (in modern mathematics) abstract entities that are defined by their basic properties, called axioms. A proof consists of a succession of applications of some deductive rules to already known results, including previously proved theorems, axioms and (in case of abstraction from nature) some basic properties that are considered as true starting points of the theory under consideration. The result of a proof is called a theorem. " - (en.wikipedia.org 24.01.2022)
