What is the difference between deductive and inductive reasoning




















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Computer Graphics. Software Engineering. Web Technology. Cyber Security. C Programming. However, if the first premise turns out to be false, the conclusion that Benno has fleas cannot be relied upon. Scribbr Plagiarism Checker. Many scientists conducting a larger research project begin with an inductive study developing a theory. The inductive study is followed up with deductive research to confirm or invalidate the conclusion.

In the examples above, the conclusion theory of the inductive study is also used as a starting point for the deductive study. Have a language expert improve your writing. Check your paper for plagiarism in 10 minutes. Do the check. Generate your APA citations for free! APA Citation Generator. Home Knowledge Base Methodology Inductive vs. Inductive vs. What is your plagiarism score? Proofs that make use of mathematical induction typically take the following form:.

Property P is true of the natural number 0. Therefore, P is true of all natural numbers. When such a proof is given by a mathematician, and when all the premises are true, then the conclusion follows necessarily. Therefore, such an inductive argument is deductive. It is deductively sound, too.

Because the difference between inductive and deductive arguments involves the strength of evidence which the author believes the premises provide for the conclusion, inductive and deductive arguments differ with regard to the standards of evaluation that are applicable to them.

The difference does not have to do with the content or subject matter of the argument, nor with the presence or absence of any particular word. Indeed, the same utterance may be used to present either a deductive or an inductive argument, depending on what the person advancing it believes. Consider as an example:. If it is the intention of the speaker that the evidence is of this sort, then the argument is deductive.

He or she may merely believe that nearly all champagne is made in France, and may be reasoning probabilistically. If this is his or her intention, then the argument is inductive. As noted, the distinction between deductive and inductive has to do with the strength of the justification that the arguer intends that the premises provide for the conclusion. Another complication in our discussion of deduction and induction is that the arguer might intend the premises to justify the conclusion when in fact the premises provide no justification at all.

Here is an example:. All odd numbers are integers. All even numbers are integers. Therefore, all odd numbers are even numbers. This argument is invalid because the premises provide no support whatsoever for the conclusion. However, if this argument were ever seriously advanced, we must assume that the author would believe that the truth of the premises guarantees the truth of the conclusion.

Therefore, this argument is still deductive. It is not inductive. Given a set of premises and their intended conclusion, we analysts will ask whether it is deductively valid, and, if so, whether it is also deductively sound.

If it is not deductively valid, then we may go on to assess whether it is inductively strong. We are very likely to use the information that the argument is not deductively valid to ask ourselves what premises, if they were to be assumed, would make the argument be valid.

Then we might ask whether these premises were implicit and intended originally. Similarly, we might ask what premises are needed to improve the strength of an inductive argument, and we might ask whether these premises were intended all along. If so, then we change our mind about what argument existed was back in the original passage. So, the application of deductive and inductive standards is used in the process of extracting the argument from the passage within which it is embedded.

The process goes like this: Extract the argument from the passage; assess it with deductive and inductive standards; perhaps revise the decision about which argument existed in the original passage; then reassess this new argument using our deductive and inductive standards.

Implicit premises and implicit features of explicit premises can play important roles in argument evaluation. Suppose we want to know whether Julius Caesar did conquer Rome. In response, some historian might point out that it could be concluded with certainty from these two pieces of information:.



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