bleistift2

I’m not a wordologist. Do words become harder to say when they’re longer? I mean, alalalalalong has 6 syllables.

Then don’t get involved in this discussion.

Proof by contrapositive would be c<0 ∨ c≥1 ⇒ … ⇒ xc≥x. That is not just starting from the conclusion and deriving the premise.

My math teacher would be angry because you started from the conclusion and derived the premise, rather than the other way around. Note also that you assumed that division is defined. That may not have been the case in the original problem.

The practical application isn’t the proof that 1+1=2. That’s just a side-effect. The application was building a framework for proving mathematical statements. At the time the principia were written, Maths wasn’t nearly as grounded in demonstrable facts and reason as it is today. Even though the principia failed (for reasons to be developed some 30 years later), the idea that every proposition should be proven from as few and as simple axioms as possible prevailed.

Now if you’re asking: Why should we prove math? Then the answer is: All of physics.

The long ‘island’ north of Iceland and the long island to the left are probably the inhabited parts of Greenland. The north of Canada and the North of Russia seem to be very sparsely populated, too. So are the arid regions of Africa and Saudi-Arabia. According to my interpretation of this map.

The low eyebrow looks strikingly neanderthal.

Vanilla Music – the music player I use.

Right page, 6th line, second character is wrong.

Cannot… unsee…

Caravaning on default settings is the worst. I never did it again with Cassandra when I learned that moving even a few pawns off my tile would consistently trigger a raid.