George Duke wrote on Mon, Nov 3, 2008 12:03 PM EST:
In two pages logicist grounding, Bertrand Russell and A.N. Whitehead prove
''the occasionally useful proposition'' 1 + 1 = 2, in 'Principia
Mathematica' 1912 Volume 2 110.643. Within the same year 1913 'History of
Chess' A.J.R. Murray recounts the then 400 years of Crazy Queen 64
squares, continuing the then 1300 years of 64 squares. Meanwhile Shogi had
expanded to eighty-one and Xiangqi ninety. Mad/Crazy Queen is tantamount in
her algebra to 1 + 1 + 1 = 3, as in Rook + Knight + Bishop = Unity by mutual
exclusivity of destinations.
[''He roller-coaster, he got early warning/ He got muddy water, he one
mojo filter/ He say 'One and one and one are three'/ Got to be
good-looking cos he's so hard to see...'' --Beatles' Abbey Road 1969] Needless to say, the story has sequel. Because R+N+B+F
= unity more primitively, fundamentally, and finally by same principle of
mutual exclusivity. 64 squares herself comes a cropper now, fortunately at
last, because there is no crowding four elemental logical units onto 8x8
retaining King and Queen. There are still many, many, many, many
(infinite?) possibilities for all of 8x10, 8x12 (what fifth piece?), 8x14
(what sixth piece?), 10x10, 9x10, 10x9. No bastion of orthodoxy will take
up historic one-of-a-kind debate. Expect nothing from controversial
websites like ChessBase with adherents being professed dyed-in-the-wool OrthoChessists. It would
take more imagination and learning than any of them happen to have.
