Turkish i/İ sounds pretty similar to most of the European languages. Italian, French and German pronounce it pretty similar. Also removing umlauts from the other two vowels ö and ü to write o and u has the same effect as removing the dot from i. It is just consistent.
No, what I mean is, o and u get an umlaut (two dots) to become ö and ü, but i doesn't get an umlaut, it's just a single dot from ı to i. Why not make it i and ï? That would be more consistent, in my opinion.
This was shortly after the Turkish War of Independence. Illiteracy was quite high (estimated at over 85%) and the country was still being rebuilt. My guess is they did their best to represent all the sounds while creating a one to one mapping between sounds and letters but also not deviating too much from familiar forms. There were probably conflicting goals so inconsistencies were bound to happen.
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