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that person never worked for an organization like<br />

ours before. It’s a tough choice. But I’m thinking<br />

that probably the second person would<br />

be the best of the three for us to hire since<br />

innovative ideas are more important to<br />

us than experience or enthusiasm.<br />

• In the past whenever the TV news<br />

programs in Chicago ran headline<br />

stories featuring a sketch artist’s<br />

drawing of a fugitive, the Chicago<br />

Police Department (CPD) hotline<br />

received over 200 phone calls<br />

from people all over the city who<br />

said that they spotted the person.<br />

Tonight the Chicago TV news<br />

programs are going to feature<br />

a sketch artist’s drawing<br />

of a fugitive whom the police<br />

are trying to locate. This will<br />

probably yield hundreds of<br />

calls to the CPD hotline.<br />

• Suppose we imagine electricity<br />

flowing through wires<br />

in the way that water flows<br />

through pipes. With this analogy in mind, it would be reasonable<br />

to infer that wires that are larger in circumference<br />

should be capable of carrying greater electrical loads.<br />

Cosmos series, which you can access at www.<br />

mythinkinglab.com.<br />

Watch the Video on mythinkinglab.com<br />

Sagan tells us that Aristarchus<br />

“deduced that the Sun had to be<br />

much larger” from “the size of the<br />

Earth’s shadow on the Moon<br />

during a lunar eclipse.” Aristarchus<br />

used deduction to infer<br />

that the Sun was much larger<br />

than the Earth because there<br />

was no other possible explanation<br />

for the size of the shadow<br />

of the Earth on the Moon during<br />

a lunar eclipse than that<br />

the shadow is being made by a<br />

hugely larger source of light shining<br />

toward the Earth and the Moon from a<br />

very great distance away.<br />

DEDUCTIVE<br />

REASONING<br />

Drawing inferences in which it<br />

appears that the conclusion cannot<br />

possibly be false if all of the premises are true is called<br />

deductive reasoning.<br />

Here are some examples:<br />

35<br />

000200010271662400<br />

Inductive reasoning is used when we are trying to diagnose<br />

what the problem might be or deciding which of several promising<br />

options would be the most reasonable to select. Scientists<br />

use inductive methods, such as experimentation, and<br />

inductive tools, such as statistics. The Nurses’ Health Study<br />

report was an example of scientific findings derived inductively.<br />

When we base our predictions on our past experiences<br />

about how things will happen in the future, we are using inductive<br />

reasoning. Reasoning by analogy, exemplified in the<br />

example about electricity being like water, is inductive. In<br />

strong, inductive reasoning, the evidence at hand gives us a<br />

reasonable assurance that the conclusion we are drawing is<br />

probably true. As long as there is the possibility that all the<br />

reasons for a claim could be true and yet the claim itself could<br />

turn out to be false, we are in the realm of inductive reasoning.<br />

COSMOS VS. CHAOS<br />

The idea that the earth is a planet revolving around the sun is<br />

often attributed to the fifteenth-century Polish astronomer-priest<br />

named Copernicus. But, in fact, the first scientist known to have<br />

reasoned to that view of the solar system was the Greek astronomer<br />

mathematician Aristarchus, who lived more than two<br />

millennia earlier. Centuries before telescopes were invented,<br />

Aristarchus had only his eyes and, of course, his mind. Carl Sagan<br />

describes the reasoning Aristarchus used in a clip from the<br />

• San Francisco is west of Denver. Denver is west of Detroit<br />

and Newark. Therefore, we can infer with deductive<br />

certitude that San Francisco is west of Newark.<br />

• Every successful president of the United States was both<br />

diplomatic and decisive. General Dwight D. Eisenhower<br />

served in WWII as the Commander of the Allied Armies<br />

in Europe and then went on to become a successful U.S.<br />

president. Therefore, President Eisenhower was decisive<br />

and diplomatic.<br />

• Either we attended the campus Halloween party last year<br />

or we were in Texas visiting your folks that day. We did not<br />

go to Texas at all last year. So, we must have attended the<br />

campus Halloween party last year.<br />

• Assume that ‘a,’ ‘b,’ and ‘c’ are any three numbers. Where<br />

‘w’ and ‘y’ are numbers, assume that ‘f’ is a mathematical<br />

function such that ‘fwy’ yields ‘z’ where ‘z’ is the number<br />

that is the product of ‘w’ multiplied by ‘y.’ It follows<br />

deductively then that ‘(fa(fbc))’ yields to the product of ‘a’<br />

multiplied by the product of ‘b’ multiplied by ‘c.’<br />

• If God intended marriage for the sole purpose of human reproduction,<br />

and if same-sex couples are entirely incapable<br />

of human reproduction, then it follows that God did not<br />

intend marriage for same-sex couples.<br />

• Not every argument is of equal quality. Therefore, at least<br />

one argument is better than at least one other argument.<br />

Skilled and Eager to Think<br />

Think <strong>Critical</strong>ly, by Peter Facione and Carol Ann Gittens. Published by Prentice Hall. Copyright © 2013 by <strong>Pearson</strong> Education, Inc.

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