Published online by Cambridge University Press: 05 June 2012
In a deductively valid argument, if the premises are true, the conclusion must be true. Deductive validity is a very strict standard of argument. If an argument is deductively valid, it is impossible for the premises to be true while the conclusion is false. In an inductively strong argument, if the premises are true, it is probable or likely that the conclusion is true. If an argument is inductively strong and the premises are true, it is logically possible that the conclusion could be false. So inductive strength is a less strict standard of argument than deductive validity. Inductive strength is a matter of probability.
Probability and statistics have an acknowledged place in scientific reasoning and experimental methods, but even outside these specialized contexts, the use of inductive argument is an important part of most reasonable dialogue. For example, the use of statistical arguments seems to play an increasingly significant role in political decision making on virtually any subject of discussion.
Of the many different kinds of inductive arguments, we will single out three for discussion in this chapter. An inductive generalization is an argument from premises about a specific group or collection of individual persons or things to a more general conclusion, about a larger group or collection. Traditional logic textbooks have often stressed the perils of hasty generalizations, for it has been rightly perceived that inductive generalization is associated with significant and common fallacies.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.