Inductive vs Deductive Reasoning Challenge

The video introduces a unit on logic, focusing on inductive and deductive reasoning. Inductive reasoning is based on observing patterns to draw conclusions, while deductive reasoning relies on established facts and theories. The video provides examples and practice exercises to distinguish between the two types of reasoning. It also covers counterexamples, which are used to disprove statements by providing contradictory evidence.

What is inductive reasoning based on?

• Theorems and facts

• Observations and patterns

• Hypotheses and theories

• Experiments and results

Which sequence is an example of the Fibonacci sequence?

• 0, 1, 1, 2, 3, 5, 8

• 1, 3, 6, 10, 15

• 1, 2, 3, 4, 5

• 2, 4, 6, 8, 10

What is the next term in the pattern: 1, 2, 3, 6, 10?

• 12

• 15

• 20

• 18

What is deductive reasoning based on?

• Theorems and facts

• Experiments and results

• Hypotheses and theories

• Observations and patterns

Which of the following is an example of deductive reasoning?

• I have pulled 10 coins from a bag, and they are all pennies. Therefore, the entire bag is full of pennies.

• Two Saturdays ago, 150 pies were sold. Last Saturday, 200 pies were sold. This Saturday, 250 pies will be sold.

• Every Saturday, my friend gets coffee. She will get coffee this Saturday.

• All men are mortal. Harold is a man. Therefore, Harold is mortal.

If 150 pies were sold two Saturdays ago, 200 pies were sold last Saturday, and 250 pies are expected to be sold this Saturday, what type of reasoning is this?

• Deductive reasoning

• Inductive reasoning

• Hypothetical reasoning

• Theoretical reasoning

If Travis is 18 years old and can legally vote, what type of reasoning is this?

• Deductive reasoning

• Theoretical reasoning

• Hypothetical reasoning

• Inductive reasoning

What is a counterexample?

• An example that illustrates a theory

• An example that proves a theory

• An example that contradicts a theory

• An example that supports a theory

Which of the following is a counterexample to the statement 'Dogs are always pets'?

• Pet dogs

• Stray dogs

• Guide dogs

• Guard dogs

Which of the following is a counterexample to the statement 'A person in North America is in the USA'?

• A person in Hawaii

• A person in Mexico

• A person in Canada

• A person in Alaska