Reference no: EM132266521

Assignment

As an introduction to the importance of logic in our society, we would like you to watch the short documentary The Joy of Logic staring Professor Dave Cliff. The film is 1 hour long and freely available online (see links below).

After watching the film, you are to submit written response to ten of the following twelve questions.

Question 1:

Referring to the story of three logicians in a bar, rewrite the story in your own words, and explain clearly why the first two logicians in the bar say "I don't know," while the third one says "yes."

Question 2:

What is a syllogism? How many valid syllogisms did Aristotle find? What do we call the syllogisms that are not valid? Give an example of each type of syllogism that was used in the video. (One valid and one invalid)

Question 3:

How does the book Alice in Wonderland relate to field of logic?

Question 4:

What did George Boole consider the real purpose of logic? What are Boolean operators? What is the Calculus of Reasoning? What did Boole do that was transformative in logic?

Question 5:

What applications of logic are discussed in this video? Give 3-4 examples.

Question6:

In your own words describe the meaning of "paradox."Explain one of the examples of a logical paradox and clearly describe why it is a paradox.

Question 7:

What was Frege's contribution to logic? What did he add to the study of logic that revolutionized the power of logic? What contradiction did Russell pointed out in his letter to Frege (Russell's paradox)?

Question 8:

What was the Vienna Circle? What was their original main goal (or initial first step)? Why and when did they have some shout "M"?

Question 9:

What is the name of the contradiction that Go ¨del had discovered in Russell's Principia? Describe the contradiction in one short sentence.

Question 10:

What is the universal machine? Who created it?

Question 11:

Based on the information in this video, can computers develop human-like intelligence?

Question 12:

What is one surprising thing you learned about logic or computation from watching this film?