 Some Externalists and Emergentists actually reject the idea that the human capacity for language yields “a potentially infinite array of expressions”. It is often pointed out by empirically inclined computational linguists that in practice there will only ever be a finite number of sentences to be dealt with (though the people saying this may underestimate the sheer vastness of the finite set involved). And naturally, for those who do not believe there are generative grammars in speakers’ heads at all, it holds a fortiori that speakers do not have grammars in their heads generating infinite languages (see Nefdt 2019c for a scientific modeling perspective on the infinity postulate). Externalists and Emergentists tend to hold that the “discrete infinity” that HCF posits is more plausibly a property of the generative Essentialists’ model of linguistic competence, I-language, or FLN, than a part of the human mind/brain. This does not mean that non-Essentialists deny that actual language use is creative, or (of course) that they think there is a longest sentence of English. But they may reject the link between linguistic productivity or creativity and the mathematical notion of recursion (see Pullum and Scholz 2010).