## Posts tagged with logic

### Is there a difference between Logic and Mathematics?

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form. Those require definitions and axioms to characterize the subjects of study. Logic is used to prove properties based on those definitions and axioms. Logic can also […]

### Trick Math Question Upsets Beethoven

Frustrated maths fans were recently seething at a puzzling question. The trick question about Beethoven’s 9th Symphony was trending on Twitter after an alarmed person posted it. “An orchestra of 120 players takes 40 minutes to play Beethoven’s 9th symphony,” the question goes. “How long would it take for 60 players to play the symphony?” […]

### So you want to work for Apple?

The following question was one that appeared during interviews for potential employees at Apple. How would you answer it? “There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box […]

### Can you solve the fruit puzzle?

Read Post Support for some clues. Hint: not all bananas are created equal!

### Maths from the Monty Hall of Fame

Monty Hall (left) was a game show host on “Let’s Make a Deal” who offered contestants a brand new car. All they had to do was choose the lucky door out of 3 possibilities. There was, clearly a 33.3% chance of choosing the car, right? Yes…right! However, after you chose a door, Monty Hall would, […]

### You better choose the right door!

Raymond Merrill Smullyan (born May 25, 1919) is an American mathematician, concert pianist, and logician, etc. One of his most famous puzzles was used in the 1986 film Labyrinth. The puzzle is based on a story of two doors and two guards. one guard always lies and one always tells the truth. One door leads […]

### Proof

A mathematical proof is an argument from accurate assumptions to reach a conclusion. Each step of the argument follows the laws of logic. Consider the logic in this statement: I can eat cheese The moon is made of cheese; Therefore, I can eat the moon! In Mathematics, a statement is not accepted as valid or […]

### Mathematics Puzzles

I don’t know about you, but solving puzzles is great mathematical fun, including the logic ones. This site by Maths is Fun has a range of great puzzles for you to try in your spare time!

### The Census Puzzle

Delight yourself in some mathematical detective work to see if you can figure this problem out! A member of a census organization is going door-to-door collecting information. He comes to a house where a woman answers the door. After introducing himself, he asks her how many adults live in the house. “Just me,” she replies, […]