problem for math gr 11. ]]>

There’s a pretty picture there.

]]>Because we are a nation but also a collection of states, it may make sense that one half of the legislature fairly and democratically represents each citizen, and the other half fairly and democratically represents each state. But it seems much different for the president to, in some sense, only have to appeal to the citizens in a handful of states.

Lastly, the House — the “purely democratic” half of the legislature — has a big check on the Senate. However the House does not have a big check on many of the president’s powers. Not sure exactly what I mean to imply by those statements, but they seem like possibly notable observations..

]]>AC iff every ring (with identity) has a maximal ideal;

UL iff every commutative ring (with identity) has a prime ideal.

I believe it is also true that ‘commutative’ can be removed in the second equivalence. ]]>