Mathematics includes topics such as numbers (arithmetic and number theory). But Formulas and related structures (algebra), shapes, and the spaces in those found. Also, they remain contained (geometry), and quantities and their changes (calculation and analysis).
Similarly, mathematical activity involves discovering the properties of abstract objects and using pure reason to prove them. These objects consist of abstractions of nature or, in modern mathematics, entities stipulated with specific properties called axioms. But, Proof consists of a succession of applications of deductive rules to already established results. Although, These results include theorems, axioms, And some basic properties considered starting points of the theory under consideration in the case of abstraction from nature.
Mathematics is used in science to model phenomena, allowing predictions to be complete from new laws. But, The independence of mathematical truth from any research implies that the accuracy of such predictions is contingent solely on the adequacy of the model. Inaccurate predictions, rather than existence caused by incorrect mathematics, mean they want to change the mathematical model used. For example, the precession of Mercury’s perihelion could only remain explained after the rise of Einstein’s general relativity, which changed Newton’s law of gravitation as a well-mathematical model.
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