I’m settling down to a serious read of Eckart Menzler-Trott’s biography of Gentzen. Supposedly the English version. But what language is this?

- The examination of the mathematics using means and methods of other sciences or humanities is still disgusting for many.
- One could still learn mathematics today in substance in the writings of Euclid …
- A bright and conceivable history of modern logic isn’t understandable without one’s biography using conceptual and contextual ideas.
- … without clariﬁcation of historical facts, the diﬀerent forms of evolving mathematical treatments, methodical and resulting knowledge, and epistemic conﬁgurations or its reﬂection are not once meaningfully describable.

Those are just a selection from just two pages of the Introduction. I’m really grateful to have a rendition of Menzler-Trott’s book into something I can understand. But what on earth were the AMS series editors doing letting this misbegotten prose through?

AnonymousHi!

I have a question which is totally unrelated to your post; but since you seem to be both a kind and able logician, I thought you might be willing to help.

My question: Is there a special term for a functional expression (i.e. a singular term forming operator on singular terms) F, which fulfils the following condition:

AxAy [(F(x)=F(y)) -> x=y]

Thanks in advance! (By the way, I really enjoy your blog!)

Peter SmithThat makes “F” denote a one-one or injective function. See http://en.wikipedia.org/wiki/Injective_function

AnonymousThank you!