Suppose a prisoner must make a choice between two doors. One door leads to freedom and the other door is booby-trapped so that it leads to death. The doors are labeled as follows:
Door 1: This door leads … See the whole entry
Between now and the end of the course, look for logical arguments in newspapers, periodicals, and books. Translate these arguments into symbolic form. Turn in as many of them as you find. Be sure to indicate where you … See the whole entry
Do some research to explain the differences between the words necessary and sufficient.
Sometimes statements p and q are described as contradictory, contrary, or inconsistent. Consult a logic text, and then define these terms using … See the whole entry
Deck of Cards Puzzle
Here is a problem by Bob Stanton from the 1998 issue of Games magazine which you can use to test your logical reasoning.
“For her school’s Science Fair, your niece has pasted a deck … See the whole entry
Let S be the set of all real numbers between 0 and 1. Prove that the set S is not a countable set.… See the whole entry
Write a report discussing the creation of colors using additive color mixing and subtractive color mixing.
What is the millionth positive integer that is not a square, cube, or fifth power?… See the whole entry
What is the millionth positive integer that is not a square or a cube?… See the whole entry
The KenKen puzzle is an arithmetical puzzle that ties together sets, magic squares, and suduko-type puzzles.
Each of these puzzles uses the set consisting of the first n counting numbers. The rules are simple:
Write a short paper about the construction of magic squares.
You might include such facts as there is 1 standard magic square of order 1, 0 of order 2, 8 of order 3, 440 of order 4, and … See the whole entry
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