[FOM] H.N. from "Mathematical Cranks"

[Alexander M Lemberg]

The following in from the preface to this book:

"We are greatly indebted to Professors Robert G. Bartle, Pierce W.
Ketchum, Echo D. Pepper and Wilson M. Zaring of the Mathematics
Department, University of Illinois, who have taught from various earlier
drafts of this book and who have given us both useful criticisms of the
text and the benefits of their classroom experiences. We also wish to
thank Professors William W. Boone and Herbert E. Vaughan, of the same
department, who gave valuable suggestions for Chapters 1 and 2. We owe a
particular debt of gratitude to Professor Zaring for his detailed and
careful comments on every aspect of the next-to-last draft."

I would be surprised if this were to turn out to be the same person, but
anything is possible.

Sandy

On Sun, 6 May 2018 07:43:30 +0530 "A. Mani" <a.mani.cms at gmail.com>
writes:
> On Sun, May 6, 2018 at 1:26 AM, tchow <tchow at alum.mit.edu> wrote:
> > In Underwood Dudley's book "Mathematical Cranks," he devotes a 
> short chapter
> > to someone that he identifies only as "H.N."  Evidently, H.N. was 
> a full
> > professor of mathematics when, in 1970, he wrote:
> >
> > "Recently I have discovered a surprising fact.  Logicians' 
> axiomatic set
> > theory is meaningless in mathematics.  They have been working in 
> wrong
> > mathematics and exerting their efforts in vain over the past sixty 
> years.
> > They are still making the same mistake.  So I dare say that all 
> the books
> > related to axiomatic set theory must be removed immediately.  Only 
> my book
> > describes correct set theory."
> >
> 
> I found exactly one book on 'set theory' written by an author with
> initials 'H.N.' before 1970:
> 
> Norman Hamilton and Joeseph Landin (Univ of Illnois):
> Set Theory and the Structure of Arithmetic, Allyn and Bacon, 1964, 
> 292pp
> 
> The book in question is meant for high school teachers and is 
> written
> in fairly simple terms.
> The natural numbers are defined using sets and the finite induction 
> principle.
> Concept of hereditary sets, final elements in a set, etc are 
> introduced.
> Authors use transfinite induction in the book, but claim to avoid it
> in the earlier part.
> Cantor sequences are used to define the reals instead of Dedekind 
> cuts.
> There are few bad typos in the book E.g p 117
> 
> Some results do not require transfinite induction, but they do use 
> it
> in proving them.
> 
> Overall a simple, readable, standard text.
> 
> 
> Best
> 
> A Mani
> 
> Prof(Miss) A Mani
> CU, ASL, AMS, ISRS, CLC, CMS, IEEE
> HomePage: http://www.logicamani.in
> Blog: https://logicamani.blogspot.in/
> sip:girlprofessor at ekiga.net
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