Question 55530: Which of the following statements is not true of deductive reasoning?
a. Deductive reasoning was developed by Greek mathematicians.
b. Deductive reasoning is the process of using logical steps to reach an unavoidable conclusion based on a given set of facts.
c. Deductive reasoning must always reach a true conclusion even if an error is made in the logical steps or a given fact was false.
d. Deductive reasoning complements inductive reasoning by allowing us to prove what inductive reasoning suggests might be true.
==. A student is confused by the difference between continuous and discrete. Which of the following is the least correct response for you to give?
a. Things which are continuous can be split into smaller measurable pieces over and over again. Splitting something which is discreet into smaller pieces changes the type of thing you are measuring.
b. Discrete objects can be counted (one penny, two pennies, etc.), while some aspect of a continuous object (its weight, height, age, etc.) is measured.
c. Discrete objects are all identical (a batch of pennies), where as continuous objects can be different.
d. Things which are discrete can be counted exactly; things which are continuous can only be measured approximately.
--. The best approximation for the sum of 3 yd 2 ft 7 in and 1 yd 9 in in miles is:
a. 2.9 miles
b. 0.29 miles
c. 0.0029 miles
d. 0.000029 miles
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Which of the following statements is not true of deductive reasoning?
a. Deductive reasoning was developed by Greek mathematicians.
b. Deductive reasoning is the process of using logical steps to reach an unavoidable conclusion based on a given set of facts.
c. Deductive reasoning must always reach a true conclusion even if an error is made in the logical steps or a given fact was false.
Not true.
d. Deductive reasoning complements inductive reasoning by allowing us to prove what inductive reasoning suggests might be true.
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==. A student is confused by the difference between continuous and discrete. Which of the following is the least correct response for you to give?
a. Things which are continuous can be split into smaller measurable pieces over and over again. Splitting something which is discreet into smaller pieces changes the type of thing you are measuring.
b. Discrete objects can be counted (one penny, two pennies, etc.), while some aspect of a continuous object (its weight, height, age, etc.) is measured.
c. Discrete objects are all identical (a batch of pennies), where as continuous objects can be different.
"c" is the least correct.
d. Things which are discrete can be counted exactly; things which are continuous can only be measured approximately.
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--. The best approximation for the sum of 3 yd 2 ft 7 in and 1 yd 9 in in miles is:
a. 2.9 miles
b. 0.29 miles
c. 0.0029 miles
d. 0.000029 miles
Probably "c"
Cheers,
Stan H.
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