Recently, we have witnessed an explosion of studies and discussions claiming that Neanderthals engaged in a range of "symbolic" behaviors, including personal ornament use (Radovčić et al., 2015), funerary practices (Balzeau et al., 2020), visual arts (Hoffmann et al., 2018, body aesthetics (Roebroeks et al., 2012), etc. In Paleolithic archaeology, it has become mainstream to axiomatically infer from these putative behaviors that Neanderthals engaged in symbol use and that Neanderthals thus possessed some form of language. Rudolf Botha's bombastic title Neanderthal Language: Demystifying the Linguistic Powers of Our Extinct Cousins provides a detailed and very critical overview of the archaeological hypotheses and speculations about Neanderthal language.Because language does not fossilize, eventual linguistic abilities of extinct hominins have to be inferred from indirect evidence. In the first two chapters, Botha introduces this "windows approach" to language evolution and proposes three conditions that should be met for window inferences to be sound. The inferences and conclusions must be pertinent-the phenomenon referred to (i.e., language) should be accurately identified, properly grounded in data about the window phenomenon, and warranted-the inferential step from the window phenomenon to language evolution should be justified. In chapters three to seven, Botha comprehensively reviews the current archaeological knowledge on the putatively "symbolic" Neanderthal behaviors, including putative jewelry, cave art, body aesthetics, and funerary practices. Botha masterfully demonstrates that there is no logical foundation to conclude that these putative behaviors reflect or constitute symbol use (in the Peircean or Saussurean sense), let alone language use. Botha (p. 54) asks: "What are the distinctive properties of symbols according to [these accounts]?" No adequate answer to this question is given in the archaeological literature. It is revealed that archaeologists typically axiomatically infer symbol use from the above-mentioned behaviors, e.g.: "[A]bstract or depictional representations and personal ornaments are the only unquestioned evidence of the emergence of symbolism." (d'Errico, 2009, p. 108). According to Botha, even if these behaviors were symbolic, the inferential step from these symbolic behaviors to language would be an arbitrary one.Chapters eight to ten are devoted to stone-tool-related behaviors and hunting as examples of "non-symbolic" Neanderthal behaviors. Botha criticizes the literature on the relationship between Paleolithic stone tools and language evolution, arguing among others that stone tool production is very different from language. On the other hand, Botha somewhat surprisingly proposes that ambush hunting of large prey may indicate that Neanderthals possessed some form of language. Botha believes that such behaviors required close cooperation between individuals and thus communication-possibly, linguistic communication. Based on these data, Botha concludes his book by proposing that ...