雙語暢銷書《艾倫圖靈傳》第4章:彼岸新星(92)
WITTGENSTEIN: There seems to me to be an enormous mistake there. …
Suppose I convince Rhees of the paradox of the Liar, and he says, 'I lie, therefore I do not lie, therefore I lie and I do not lie, therefore we have a contradiction, therefore 2 × 2 = 369.'
假如那個說謊者說："我在說謊，所以我說的是真的，所以我既說謊又沒說謊，所以產生了一個矛盾，所以2×2 = 369。"Well, we should not cAll this 'multiplication', that is all. …
這又能怎麼樣呢，你別真用這個結論去做乘法，不就行了麼？……
TURING: Although you do not know that the bridge will fall if there are no contradictions, yet it is almost certain that if there are contradictions it will go wrong somewhere.
圖靈：但是，如果對矛盾放任不管，總會在什麼地方出問題。WITTGENSTEIN: But nothing has ever gone wrong that way yet. …
維特根斯坦：我看不出會有什麼問題……But Alan would not be convinced. For any pure mathematician, it would remain the beauty of the subject, that argue as one might about its meaning, the system stood serene, self-consistent, self-contained.
艾倫對此並不信服。任何一個純數學家都要維護這個學科的美好，努力使它相容、自洽。Dear love of mathematics! Safe, secure world in which nothing could go wrong, no trouble arise, no bridges collapse!
這就是美好的對數學的愛，要讓世界變得安全，不要讓任何東西出錯。So different from the world of 1939.
但1939年的世界，顯然並不是這樣。He did not complete his research into the Skewes problem, which was left as an error-strewn manuscript and never taken up by him again.
艾倫沒有完成關於斯奇烏斯數的研究，他留下了一個漏洞百出的手稿，而且沒有繼續研究它。But he continued to pursue the more central problem, that of examining the zeroes of the Riemann zeta-function.
但他仍在繼續追求那個更加核心的問題，就是檢驗黎曼ζ函數的零點。The theoretical part, that of finding and justifying a new method of calculating the zeta-function, was finished at the beginning of March, and was submitted for publication.
3月初，他完成了理論的部分，提出並評估了一種計算 ζ 函數的方法，並提交給了出版社。
