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410<br />

new appendices<br />

Kemeny.) Therefore, any change of assumption (a) would be ad hoc. It<br />

is not my criticism that is ‘purely verbal’, but the attempts to rescue the<br />

‘current theory of confirmation’.<br />

For further details, I must refer to the discussion in the pages of the<br />

B.J.P.S. I may say that I was a little disappointed both by this discussion<br />

and by Kemeny’s review in the Journal of Symbolic Logic. From a rational<br />

point of view, the situation appears to me quite serious. In this postrationalist<br />

age of ours, more and more books are written in symbolic<br />

languages, and it becomes more and more difficult to see why: what it<br />

is all about, and why it should be necessary, or advantageous, to allow<br />

oneself to be bored by volumes of symbolic trivialities. It almost seems<br />

as if the symbolism were becoming a value in itself, to be revered for its<br />

sublime ‘exactness’: a new expression of the old quest for certainty, a<br />

new symbolic ritual, a new substitute for religion. Yet the only possible<br />

value of this kind of thing—the only possible excuse for its dubious<br />

claim to exactness—seems to be this. Once a mistake, or a contradiction,<br />

is pin-pointed, there can be no verbal evasion: it can be proved,<br />

and that is that. (Frege did not try evasive manœuvres when he<br />

received Russell’s criticism.) So if one has to put up with a lot of<br />

tiresome technicalities, and with a formalism of unnecessary complexity,<br />

one might at least hope to be compensated by the ready acceptance<br />

of a straight-forward proof of contradictoriness—a proof consisting of<br />

the simplest of counter-examples. It was disappointing to be met,<br />

instead, by merely verbal evasions, combined with the assertion that<br />

the criticism offered was ‘merely verbal’.<br />

Still, one must not be impatient. Since Aristotle, the riddle of induction<br />

has turned many philosophers to irrationalism—to scepticism or<br />

to mysticism. And although the philosophy of the identity of C and p<br />

seems to have weathered many a storm since Laplace, I still think that it<br />

will be abandoned one day. I really cannot bring myself to believe that<br />

the defenders of the faith will be satisfied for ever with mysticism and<br />

Hegelianism, upholding ‘C = p’ as a self-evident axiom, or as the dazzling<br />

object of an inductive intuition. (I say ‘dazzling’ because it seems<br />

to be an object whose beholders are smitten with blindness when<br />

running into its <strong>logic</strong>al contradictions.)<br />

I may perhaps say here that I regard the doctrine that degree of

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