This paper take sup the theory put forward by Gunther Grewendorf (1995) tha
t Wittgenstein's conception of language as a publicly constituted 'life for
m' is compatible with Chomsky's conception of language as a human 'organ',
although this conception could undoubtedly be characterized to a certain ex
tent as a private-language conception in Wittgenstein's sense. In a first s
tep, it is shown how Chomsky's model of an autonomous syntax module or a un
iversal grammar can indeed by characterized as a 'private-language' concept
ion. This is essentially related to the construction of this module as a ma
terial, neural state (Chomsky 1995), as a linguistic 'knowledge', whose man
ner of functioning cannot become apparent to the speaker. In a second step,
the major points of Grewendorf's argumentation are summarized. In spite of
a very precise and accurate reconstruction of Wittgenstein's argument, the
reconstruction ultimately follows Kripke's interpretation, which, as is we
ll known, trivializes this argument. The decisive aspect for Grewendorf's a
rgumentation is his theory - which here undoubtedly contradicts Wittgenstei
n's text and logic - that the differentiation between know and believe to k
now is irrelevant for Wittgenstein's refutation of the possibility of a pri
vate language. It is, thirdly, demonstrated that Chomsky's theory would be
tenable, or not affected by Wittgenstein's argument, if the existence of th
e syntax module could be demonstrated irrespective of the reference to perf
ormance phenomena. Fourthly, and finally, it is then shown by using grammat
ical categories as theoretical predicates that this is not possible for pur
ely logical reasons. Chomsky can only give these predicates a second extens
ion, i.e. use them as descriptors of neural states, if he simultaneously de
fines them extensionally on the first level by deriving them in a generativ
e grammar which culminates in assigning lexicon elements to terminal catego
ries. Otherwise it would be simply impossible to correlate statements on th
e forms of the syntax module with statements on surface forms. The autonomo
us syntax module is thus, on the one hand, identified as a private-language
construction par excellence and with Wittgenstein it is shown why such a c
onstruction is logically untenable. In parallel to this , attention is draw
n to recent developments in the theory of neural networks, in which Chomsky
's basic argument from his Skinner review that without 'innate ideas' a chi
ld would not be in a position to develop a perfect grammar from imperfect l
inguistic data is factually and definitively refuted. The human brain is ce
rtainly capable of learning inductively or analogically on the basis of sim
ilarity relations. Fodor's theory of the autonomy of brain modules in essen
ce contradicts recent findings on the interlinkage of modules enabling the
brain to become self-organizing.