Originally Posted by operator
That's not even close to a proof. The very first statement is already false, integers include all whole numbers, negative, positive and zero.
Now i'd like to see someone produce a cog that has -14 teeth or 0 teeth. Pretty lame attempt if you ask me. If you're going to pretend to be smart at least do it properly.
...by acting like a prick? i didn't read the proof, but the result is clear enough and the guy did say he wanted to know more about the mathematics of gearing.
Instead of harshing the vibe you could post in the skid patch thread and either have the guy change "integers" to "natural numbers" or explain why you think the skid patch theorem fails in the case of "impossible" cogs. The theorem is linked to off the diy sticky so that would potentially be helpful.