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More specifically, mathematical theorems and formulas are obtained by logical derivations which presume axiomatic systems, rather than bination of empirical observation and method of reasoning that e to be known as scientific method. In either case, the fact that mathematics is such a useful tool in describing the universe is a central issue in the philosophy of mathematics.

Richard Feynman said Mathematics is not real, but it feels real. Where is this place?[verification needed], while Bertrand Russell quipped, in allusion to the abstraction inherent in the axiomatic method, that Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.

Mathematics cannot be considered pure science as everything that is mathematically correct may not be physically or practically correct. It is a tool to study various fields of science and to effectively pursue the scientific method.

The underlying goal or purpose of science to society and individuals is to produce useful models of reality. It has been said that it is virtually impossible to make inferences from human senses which actually describe what “is.” On the other hand, people can form hypotheses based on observations that they make in the world.

By analyzing a number of related hypotheses, scientists can form general theories. These theories benefit society or human individuals who make use of them.

For example, Newtons theories of physics allow us to predict various physical interactions, from the collision of one moving billiard ball with another, to trajectories of space shuttles and satellites. Relativity can be used to calculate the effects of our suns gravity on a mass light-years away.

The social sciences allow us to predict with limited accuracy for now things like economic turbulence and also to better understand human behavior and to produce useful models of society and to work more empirically with government policies. Chemistry and biology together have transformed our ability to use and predict chemical and biological reactions and scenarios.

In modern times though, these segregated scientific disciplines notably the latter two are more often being used together in conjunction to produce plete models and tools. One goal of science is to explain and utilize multiple known phenomena with one theory or set of theories.

Despite popular impressions of science, it is not the goal of science to answer all questions. The goal of the sciences is to answer only those that pertain to perceived reality.

Also, science cannot possibly address nonsensical, or untestable questions, so the choice of which questions to answer es important. Science does not and can not produce absolute and unquestionable truth.

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