Engineering or math for teaching?

Which is more challenging: studying industrial engineering (university of applied sciences) or math for primary school teaching? So, what exactly are the mathematical differences? I often hear that studying engineering is supposed to be more mathematically demanding, but I wonder how that can be when you study the entire subject of math for teaching (and…

Help with full induction?

I have the hypothesis as it is stated in the induction hypothesis (I've already proven the induction hypothesis), but the problem is that after applying the induction hypothesis, I can't "get back" in the induction step. For the proof, it should be possible to transform (a+b)^n + a^{n+1} back to (a+b)^{n+1}, but that's somehow not…

Horse paradox?

Hey, I wanted to ask the following question. I just looked at the Horse Paradox and find it really interesting. But even though the paradox is false anyway, I don't understand one step: If I say that n horses have the same color, then that actually only applies to 1 horse. If I want to…