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Chapter 1: Problem 63

The word induce comes from a Latin term meaning to lead. Explain what leading has to do with inductive reasoning.

Short Answer

Expert verified
Inductive reasoning 'leads' us from specific observations to broad generalizations, this process of 'leading' from specific to general is where the connection between the meaning of 'induce' and 'inductive reasoning' lies.

Step by step solution

01

Understanding the term 'Induce'

'Induce' comes from the Latin word 'inducere', which means 'to lead'. In a broader sense, 'to lead' in this context can be interpreted as 'to bring about' or 'to influence'.
02

Understanding 'Inductive Reasoning'

Inductive reasoning is a method of reasoning in which the premises are viewed as supplying strong evidence for the truth of the conclusion. While the conclusion of a deductive argument is certain, the truth of the conclusion of an inductive argument may be probable, based upon the evidence given.
03

Making the connection

Comparing our understanding of 'induce' and 'inductive reasoning', we see that inductive reasoning 'leads' us from specific observations to broader generalizations and theories. This process of 'leading' from specific to general is the connection between the two concepts.

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Most popular questions from this chapter

A version of this problem, called the missing dollar problem, first appeared in 1933. Three people eat at a restaurant and receive a total bill for \(\$ 30\). They divide the amount equally and pay \(\$ 10\) each. The waiter gives the bill and the \(\$ 30\) to the manager, who realizes there is an error: The correct charge should be only \(\$ 25\). The manager gives the waiter five \(\$ 1\) bills to return to the customers, with the restaurant's apologies. However, the waiter is dishonest, keeping \(\$ 2\) and giving back only \(\$ 3\) to the customers. In conclusion, each of the three customers has paid \(\$ 9\) and the waiter has stolen \(\$ 2\), giving a total of \(\$ 29\). However, the original bill was \(\$ 30\). Where has the missing dollar gone?

Use Polya's four-step method in problem solving to solve. Five housemates \((\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\), and \(\mathrm{E})\) agreed to share the expenses of a party equally. If A spent \(\$ 42, B\) spent \(\$ 10\), C spent \(\$ 26\), D spent \(\$ 32\), and \(E\) spent \(\$ 30\), who owes money after the party and how much do they owe? To whom is money owed, and how much should they receive? In order to resolve these discrepancies, who should pay how much to whom?

Use Polya's four-step method in problem solving to solve. An automobile purchased for \(\$ 23,000\) is worth \(\$ 2700\) after 7 years. Assuming that the car's value depreciated steadily from year to year, what was it worth at the end of the third year?

Use Polya's four-step method in problem solving to solve. Pens are bought at \(\$ 0.95\) per dozen and sold in groups of four for \(\$ 2.25\). Find the profit on 15 dozen pens.

Ten people ordered calculators. The least expensive was \(\$ 4.95\) and the most expensive was \(\$ 12.95\). Half ordered a \(\$ 6.95\) calculator. Select the best estimate of the amount spent on calculators. a. \(\$ 160\) b. \(\$ 105\) c. \(\$ 75\) d. \(\$ 55\)
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