Hello Jon, the "self-column" must -- at every step/storey -- have two elements: -- an English number followed by -- a capital letter This step/statement must be true: if I start the column with TWO W the statement is true -- but we must check if there is another true statement coming _before_ TWO W, this "before" being meant "in the alphabetical order". We see here that TWO O is true so far, for instance, and comes before TWO W. Checking all the true available statements, we find that the column _must_ start with ONE A (in French we would start with DEUX D, not UN A). Now, after ONE A we must find again the alphabetically true statement being the first to discribe a quantity of letters of the whole column, including the said statement. The only such count is ONE B. Now, before ONE C comes FOUR O, etc. Best, É.
Le 11 avr. 2016 à 03:49, Jon Ziegler <jonz@alumni.caltech.edu> a écrit :
Anything wrong with: A B ?
On Apr 10, 2016, at 10:48 AM, Mike Stay <metaweta@gmail.com> wrote:
Both B Couple C Double D Every V
On Sun, Apr 10, 2016 at 10:25 AM, Eric Angelini <Eric.Angelini@kntv.be> wrote:
Hello Math-Fun, We want to build a column of true statements; every step makes a true statement about the count of the letters involved so far in the column.
Example of such a column:
TWO T THREE E THREE H FOUR R ...
Explanation: At stage 1 the column is made of this true statement about the column itself: "There are 2 T's so far in C" ("C" is short for "column")
At stage 2 the column is made of this true statement about the column itself: "There are 3 E's so far in C"
At stage 3 the column is made of this true statement about the column itself: "There are 3 H's so far in C"
At stage 4 the column is made of this true statement about the column itself: "There are 4 R's so far in C"
etc.
There are lots of such "self-columns", but we want here the alphabetically first one.
It will start, I guess, like this:
ONE A ONE B FOUR O FIVE O FIVE E EIGHT E etc.
Question: when will this column end? Best, É.
à+ É. Catapulté de mon aPhone
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