If you induce someone to do something, you persuade or influence them to do it. More than 4,000 teachers were induced to take early retirement. = persuade If you deduce something or deduce that something is true, you reach that conclusion because of other things that you know to be true. Alison had cleverly deduced that I was the author of the letter... The date of the document can be deduced from references to the Civil War... She hoped he hadn't deduced the reason for her visit.