Wittgenstein goes so far as to say that ‘If a lion could talk, we could not under-
23, 241, 226 (italics in original).
158
Patrick Emerton
When it comes to logic and mathematics, it is generally accepted that the
language (English, French, Japanese, etc.) and broader cultural context in
which an axiomatic system is set out, and in which consequences are derived,
does not affect the validity of the reasoning. To borrow Wittgenstein’s termi-
nology, whatever exactly it is about human ‘forms of life’ that enables us to
establish meaningful logical terms and thereby rules of inference that under-
pin valid arguments, these forms of life seem to be common across human
communities.
31
But logic and mathematics are in some ways very simple and
primitive elements of human experience, at least in their foundations (
nega-
tion,
if . . . then . . . reasoning,
counting,
measurement, etc.), and hence it may
not be that surprising that they are common across human beings. When
it comes to the key terms that figure in a rule of recognition, however, and
hence to the rules of legal inference that (on this picture) would be implicit
in them, we might expect a greater degree of variation in the relevant forms of
life. Thus, in addition to necessarily being unexpressed, there is good reason
to think that on the ‘thick’ picture of validation the rules of legal inference
must be, in some sense, ‘local’ or ‘parochial’ rather than universal. That is
not to say that different constitutional orders must be thought of as mutually
incomprehensible Wittgensteinian lions, but on the ‘thick’ picture we might
expect constitutional orders to differ from one another in their legal inferential
practices in ways that do not emerge self-evidently from their written constitu-
tional texts, and for reasons that would not figure in a typical catalogue of the
elements of that legal order.
32
Hence we have good reason to think that, on the
‘thick’ Hartian conception of validation, every constitutional order necessarily
includes an important invisible aspect.
Philosophical Investigation), which also relates this approach to the resolution of Lewis Car-
roll’s puzzle, see A. B. Levison, ‘Wittgenstein and Logical Laws’ (1950) 14 Philosophical Quar-
terly 345, 348–51.
31
For one account of these linguistic capacities in terms of common human cognitive capacities,
see Stephen J. Barker, Renewing Meaning: A Speech-Act Theoretic Approach (Oxford: Claren-
don Press, 2004), chapters 7 and 8.
32
Brian Bix has rightly cautioned against overzealous use of Wittgensteinian argumentation
to address questions that arise in the legal domain, which is quite unlike the mathematical
and logical domains with which Wittgenstein was chiefly concerned: ‘The Application (and
Mis-Application) of Wittgenstein’s Rule-Following Considerations to Legal Theory’ in Law,
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