Re: Langton's Legacy (was Re:Numerics)

Vernon,
I am pleased to say that I am able, in a practical way, to support your linking of square and triangular numbers. With slight irony, however, I do so with the reservation that your focus on the single case of 1189 squared being related to the mid-point of the Bible will probably be explained away by list members as a mere coincidence.

All,
For the benefit of others on this list, the irony stems from a recent exchange of emails between Vernon and myself, as I sought permission to use his name in my website. Vernon was gracious enough to consent but, in answer to my direct question, described my findings as 'incapable of withstanding ... the charge of subjectivity'. This may be because Vernon has an eye to formal mathematical integrity. [Vernon, No offense taken, and your follow-on comment is coming to fruition much sooner than you could have imagined].

Already, in the first three pages of my website, there are seen implicit relationships between squares and triangles. The irony is, though, that my next page is able to provide a connection between the entire sequence of square numbers and the entire sequence of triangular numbers. Not only that, but the same connection also links the essence of Vernon's findings with my own dissimilar findings. It becomes clear that Vernon and myself are looking at the very same landscape, but alternative panoramas due to differing vantage points. I shall not go into full details here as to my new discovery - they may be perused at www.TheRingOfTruth.info in the new fourth page. What I will say is that there is a sound mathematical foundation to the linking of those two number sequences, using Modulo 9 arithmetic.

And there is a further link between the Bible and both square and triangular numbers that would not be found by purely mathematical means. This is also described in my website, but I will also include it here as a taster. Vernon's list of special numbers (in his weblink addendum to "Balancing the Books") includes only exact hits - numbers that are both square and triangular. But there is the case of a near miss that also draws attention to the structure of the Bible. Consider the numbers 2209 and 2211. The first is the square of 47; while the second is T(66), the sixty-sixth triangular number - where 66 is itself T(11). The 66 here could refer to the number of books in the most widely accepted Christian Bible. But without some supporting evidence from the Bible itself, this is no more than supposition. Therefore, in this instance, the Bible does provide a key to this special interpretation.

The key exists in the distribution of letters in the Hebrew book of Geesis. In my website, I often draw attention to positions where each letter of the 22-letter alphabet occurs for the first time. For example, exactly half of the 22 make their first appearance in the first verse. Two others (ayin and delet) are particularly special, but in ways that require a lengthy context to make clear. Of the last three letters to occur, zayin appears in the text at position 472 and gimmel at 738, which are both lengthy delays. But the most unusual is samech, because it does not appear until almost three times the distance of gimmel. The first occurrence of samech is at position 2210 (compare with 3 x 738 = 2214, from the location of gimmel). Incidentally, Hebrew Scrabble contains three copies of samech in a set of 102 letters. Notice particularly that position 2210 is sandwiched precisely between the square of 47 and T(66). Thus, the Hebrew Bible itself says that the short sequence 2209, 2210, 2211 is special, and draws attention to the number 66.

So, I am very happy to confirm that Vernons latest announcement is meaningful. But I also caution that meaningful biblical attributes do not exist in isolation. To have real significance, multiple components must belong to a self-consistent set or structure, in which parallel links (often three or four deep) are mutually supporting without being mutually dependant.

The timing of Vernon's announcement has forced my hand somewhat. I was not expecting it, and neither was Vernon aware of the content of my fourth web page. But this opportunity is too good to miss, and I have made my new page available in a slightly incomplete state. Please be aware, therefore, that one or two topics are still missing, and what is present may be less polished than I would like. The same could be said even of earlier pages. If anyone has taken a hard-copy of my pages at the time they were first published, those copies will now be missing some new content. One thing that can be said with some confidence about the Genesis Squares is that we can never be sure we have identified all their content. Even the arguments of skeptics in this list have led me to a better understanding and to enhancements to my website.

Having said that there are further topics to be added to my fourth page, I must mention that there is already more in there than just the relationship between square and triangular numbers. There are four more ways to derive Pi, and one more way to derive SQRT(2) to incredible accuracy. Then there are new ways to explain obscure biblical passages and an explanation (Ed Babinski please note) for the absence of the number 37 from the plain text of the Bible. Sometimes an omission can speak just as loudly as a multiple presence.

Will these new revelations be enough to spark a proper debate?

Regards
David

  ----- Original Message -----
  From: Vernon Jenkins
  To: asa@calvin.edu
  Sent: Saturday, July 16, 2005 9:28 PM
  Subject: Langton's Legacy (was Re:Numerics)

  The early years of 13th century England were marked by two significant events: the first was the signing of Magna Carta (basis of political and personal liberty) by King John in 1215; the second, the division of the biblical books into chapters. Both events involved the tireless efforts of the then Archbishop of Canterbury - Stephen Langton. It was he who encouraged the barons and organised the opposition to John's tyranny; and it was he who made possible the better citation of biblical texts.

  This latter contribution has implcations for us in our search for scriptural truth. Indeed, it provides further evidence (if more were needed) to support the contention that the Christian Bible is divinely - and exclusively - watermarked. The following page is, essentially, an addendum to "Balancing the Books".
  http://homepage.virgin.net/tgvernon.jenkins/Langton_Legacy.htm

  Vernon
  www.otherbiblecode.com
Received on Sun Jul 17 09:11:08 2005