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This article includes a list of references, but its sources remain unclear because it has insufficient inline citations. Inferences are steps in reasoning, moving from premises to conclusions. Statistical inference uses mathematics to draw conclusions in the presence of uncertainty. This generalizes deterministic reasoning, with the absence of uncertainty as a special case.

The process by which a conclusion is inferred from multiple observations is called inductive reasoning. The conclusion may be correct or incorrect, or correct to within a certain degree of accuracy, or correct in certain situations. Conclusions inferred from multiple observations may be tested by additional observations. Logic the inference of a general law from particular instances. The definition given thus applies only when the “conclusion” is general.

A conclusion reached on the basis of evidence and reasoning. The process of reaching such a conclusion. Ancient Greek philosophers defined a number of syllogisms, correct three part inferences, that can be used as building blocks for more complex reasoning. The reader can check that the premises and conclusion are true, but logic is concerned with inference: does the truth of the conclusion follow from that of the premises? The validity of an inference depends on the form of the inference.

That is, the word “valid” does not refer to the truth of the premises or the conclusion, but rather to the form of the inference. An inference can be valid even if the parts are false, and can be invalid even if some parts are true. But a valid form with true premises will always have a true conclusion. Therefore, all beef comes from animals. If the premises are true, then the conclusion is necessarily true, too. Now we turn to an invalid form.

To show that this form is invalid, we demonstrate how it can lead from true premises to a false conclusion. When a valid argument is used to derive a false conclusion from a false premise, the inference is valid because it follows the form of a correct inference. Therefore, John Lennon was a musician. In this case we have one false premise and one true premise where a true conclusion has been inferred. Evidence: It is the early 1950s and you are an American stationed in the Soviet Union.