While I agree somewhat with what you&#x27;re saying, I&#x27;d like to ask something about the playing card example.<p>In a deck of cards, if you consider any ordering without any meaning added, then it is literally just 1&#x2F;52!.<p>however, what if you started ascribing meaning to the different cards?<p>Would it be special then if your shuffeling resulted in all face-cards being grouped together? What about if all like-numbers were grouped together (i.e. all 1&#x27;s, all 2&#x27;s, all 3&#x27;s) and so-on?<p>What about the case when the cards get shuffled and end up <i>in ascending&#x2F;descending  order</i>? i.e. {1H, 2H ... KH, 1S, 2S, ...}. There are only 4 such permuations possible, making it an infinitesimal chance that you arrive <i>at that specific ordering</i>.<p>Couldn&#x27;t that be viewed as special? I guess in this case, I&#x27;m saying that the tuple of {Meaning, Uniqueness} is indeed special, not just uniqueness alone.