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38
“In a circle of 33, the next 10 people on my right are all liars”
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22
Why is a discrete topology called a discrete topology?
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16
Example of a countable compact set in the real numbers
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15
Is $1+1 = 2$ true in any base?
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13
Why is the fundamental group of the plane with two holes non-abelian?
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12
Show that this ring has no identity.
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12
Counting: how many ways of climbing a stair?
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11
For which integers $a,b,c,d$ does $\frac{a}{b}+\frac{c}{d} = \frac{a+c}{b+d}$?
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11
Why is a strictly monotonic mapping between intervals continuous?
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10
If I am 80% sure, is there an 80% chance that I'm right?
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9
Is it always possible to find 3 equidistant points on a closed loop?
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9
Why is the empty set in the standard topology?
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9
In a Cayley table, which Group axioms fail when an entry appears twice in a row or a column?
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9
How do you minimize “hinge-loss”?
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8
Average area of the shadow of a convex shape
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7
Flipping a set of unfair coins
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7
Create all numbers from 1-100 using 1,3,3,6
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7
Formal definition of “counterexample”.
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7
$\sin(\cos(\sin(\cos(\sin(\cos \cdots \sin(\cos x)))))))\cdots))))$
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7
What is the probability that a red ball is chosen before the black ball?
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6
Confusion about limit of log
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6
What is it, intuitively, that makes a structure “topological”?
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5
Can someone show me how to solve $2^x + x = 4$?
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5
Optimal way to stack deck against uniformly random opponent?
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5
Strange substitution in integral using partial fractions
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5
prove that $a<\frac{a+b}{2}<b$
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5
If $A$ is convex then $rA+sA = (r+s)A$
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5
If $f,g:X \to Y$ are measurable, is the set on which $f=g$ measurable? What $Y$ does this hold for?
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5
Why do we study the number of homomorphisms/isomorphisms between fields?
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5
Making numbers cheaply
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