Thread: Math?????
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Old 11-25-2013, 01:23 PM
zenobia43 zenobia43 is offline
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Lewis Carroll wrote about logic.

If you're really interested in the historical treatment of this, you might find the pdf at the following link useful:

https://archive.org/details/gameoflogic00carruoft

... and Dover published "Mathematical Recreations of Lewis Carroll" for a while.

Using the ISBN-10 ID:

http://www.isbnsearch.org/isbn/0486204928

This book doesn't exactly read like a "page-turner" novel. It is somewhat interesting from a historical, pre-computer age perspective.

Carroll alludes to the practical application of logic in contracts and laws.

Every time I try to read a bit more in this book, it is a chore, and I find something more interesting to do after a short while.

Also consider what it takes to construct a logic puzzle so that:

1. It has one and only one solution, and this property can be tested.
2. It doesn't require guessing at any point.
3. It has the "right" level of difficulty: Challenging enough to keep the interest of the best solvers and easy enough to encourage the relative beginners.
4. It has a sufficiently entertaining translation of math equations to "story" clues.
5. It can be stored, delivered, solved by users, and checked by a computer program.
6. It lends itself to machine generation to avoid the huge expense of manually constructing each puzzle.

If a given puzzle is just math, is it possible to measure the difficulty of a puzzle without a user-provided score or without a calculation of user completion rates and times? I.e, can the difficulty be calculated when the puzzle is constructed?

There are some interesting articles on the web that discuss this question.

Last edited by zenobia43; 11-25-2013 at 01:27 PM.
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