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Results tagged with puzzle
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user 1946
Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
3
votes
Russell's definite description and vacuous truth: a puzzle?
I'm not sure this question will stay open, but here I am and this is a question that leads to some interesting issues about reference and language. (But probably it should have been asked on philosoph …
- 236k
17
votes
A game on sets of reals
This is a great question! I've now managed to eliminate the use of countable choice.
Theorem. Without using any choice principle, it follows that player I can have no winning strategy in the game.
…
- 236k
12
votes
A function that is defined everywhere but has unknown values
Consider the function $f:n\mapsto k$, where the power set $2^{\aleph_n}$ has the form $\aleph_{\omega\beta+k}$ for some natural number $k$.
This function is everywhere defined, since the power set $ …
- 236k
2
votes
Gödel, Escher, Bach: b is a power of 10.
This is too long for a comment, but it seems that your formula is not correct. In fact, your formula is true in the natural numbers for any value of $a$ simply by taking $b=0$, which fulfills the clau …
- 236k
42
votes
Accepted
Who wins two player sudoku?
Update. I made a blog post about Infinite Sudoku and the Sudoku game, following up on ideas in this post and the comments below.
I claim that the second player wins the even-sized empty Sudoku boa …
- 236k