Remarks upon Postal's Vastness-of-Langauge Argument (VoL)
(My understanding of) Chomsky's chain of Argument : Our brain/mind is a finite object. Since a language L is not merely a precompiled list of sentences, there must be something generating L. (This is based on the observation that "people are able to produce and comprehend an unlimited variety of novel sentences (Miller & Chomsky 1963)". ) However, the brain/mind could only store a finite number of rules since it's a finite object. The set of strings that could be generated by the rules is at most of size countably infinite.