DO NOT BELIEVE EVERYTHING

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In order to explain the question briefly,first there are some terms which we need to know.

The first term is what is a proof? Proof is the process or an instance of establishing the validity of a statement especially by derivation from other statements in accordance with principles of reasoning.

After giving the definition of proof, some questions coming to my mind. Some of these questions are how can a person prove something? and is it possible to use this proven thing rest of the life? Of course these are hard questions to answer so I think something, which is proven, must always be true in every situation.

Now, by using the information which is written above I want to explain the question.

In the first place, let's look at mathematics. Mathematics is certainly science in the broad sense of "systematic and formulated knowledge". Mathematics provides the language in which the natural sciences aspire to describe and analyse the universe, there is a natural link between mathematics and natural sciences.The natural sciences investigate the physical universe but mathematics does not, so at this point a question comes to my mind, whether mathematics is essentially similar in method to the natural sicences in spite of the difference in subject matter. I do not think it is.

In mathematics, however, the ultimate arbiter of correctness is proof rather than empirical evidence. This reflects a fundamental diffence in what one is trying to achieve mathematics is concerned with finding certain kinds of necessary truths. For a mathematical statement to be accepted as a theorem, its conclusion must be known to always be true whenever its hypotheses are satisfied. We accept it only when we have a proof a chain of reasoning demonstrating that the conclusion must follow from the hypotheses. Empirical evidence does, to be sure, play an important part in doing mathematics. Conjectures are usually formed by observing a common pattern in a number of examples, and are often tested on other examples before a proof is attempted. However, such evidence is not sufficient by itself consider the assertion that every even integer greater than 4 is the sum of two (not necessarily different) odd prime numbers. We have lots of empirical evidence supporting this assertion 6 = +, 8 = 5+, 10 = 7+ and 10 = 5+5, 1 = 7+5, and so on. However, we cannot be sure it is true unless someone finds a proof. Until then, it is conceivable that someone might find a very big even number which is not the sum of two odd prime numbers.

In the second place, let's look at science. Science is knowledge or a system of knowledge covering general truths or the operation of general laws especially as obtained and tested through scientific method b such knowledge or such a system of knowledge concerned with the physical world and its phenomena natural science. In science we collect empirical evidence through the process of experimentation. If we collect enough evidence, we will probably notice patterns or regularities in the evidence, and then we will develop generalizations that describe what we have observed. These generalized descriptions of observed events are called scientific laws.Scientfic law is a genarilized description, usually expressed in mathematical terms which describes the emperical behaviour of matter. For example I'm dropping a pencil, a book, a ball, a ruler, in fact dropping anything that is heavier than air, and it will fall. The generalized description is the law of gravity (objects that are heavier than air fall when released). Noticing that this doesnt tell us what gravity is, but it does describe its behavior. Of course, if we were to really do this scientifically, wed make measurements about the speed of the fall, and then wed probably state the law as Isaac Newton did mathematically.

So proving something does not make it true. It just means that we have convinced other people that the evidence supports your conclusion. There are many examples in law of people who have been proven guilty beyond a reasonable doubt who were not guilty at all. And most of us probably suspect that there are guilty people who get off. Just as in court, proof in science does not equal truth. No scientist will ever claim that a theory is true. What they will do is state that the evidence agrees with the theory. Of course, sometimes new evidence shows up that we didnt have before. Then in science, as in law, we will reach a new conclusion.

As a conclusion I want to say that we can not prove a scientific theory because scientific theory is probabilistic, not absolute.

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