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This is a difficult question to answer as science is not based on logic. Fundamentally the basis of science is a certain number of assumptions, such as empiricism, which is the belief that knowledge about the physical world comes from using our senses. Philosophically empiricism has been at odds with rationalism for centuries with entire books written on the one side building up science and the other side tearing it down.

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This is not to say that science has no reasoning involved in it. Generally speaking science relies on a form of inductive reasoning. That is to say that dropping a rock several times resulted in a similar result that the rock will always behave in that manner. Experts in logic and epistemology have criticized the use of induction in science for centuries.

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The most recent destruction of an attempted logical foundation for science was the abandonment of logical positivism, which had been proposed as a cure for science's shortcomings back in the 1920s. Fundamentally logical positivism was often associated with verificationism, that is the claim that a statement is only meaningful if there is a finite procedure for conclusively determining its truth. Unfortunately for logical positivism, there is no finite procedure for conclusively determining the truth of logical positivism.

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Currently science tries to avoid the logical problems that plague it using two methods: Popperian falsification or Bayesian statistics and both methods have their adherents. Generally speaking nowadays statistics is more common especially in medical research where the importance of reaching a 95 percent statistical confidence level is crucial for getting one's work published.

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So basically the answer to this question is well beyond the ability of this website to answer. Interested persons should read up on the philosophy of science and/or inductive reasoning.

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