A rapid succession of similar thoughts was passing through my head as I gazed at the chessboard, though ostensibly to study the game laid out thereon, which I was playing by letter with a distant correspondent. As sometimes happens when smoking opium, time suddenly slowed down and thoughts seemed to come with incredible speed and clarity. Normally, I mused, one would unhesitatingly suppose our real physical world to be the superior of the chessboard world, because no limitation is placed upon the number of locations we may occupy. No arbitrary laws restrict me from moving in any way I please about my study, my garden, or the countryside beyond. But is that so important? The significance of chess lies not in its very simplified space-time environment but in the relation the pieces hold to one another. By this latter criterion our own degree of freedom undergoes a drastic reduction: the number of stances I can hold in relation to my wife, to my friends or to my employer (though being retired, I have no employer) is by no means greater; insignificant, in fact, when compared to the infinite number of relationships that would obtain by mathematically permutating all possible locations in our continuum of physical space. Is it an unfounded presumption, then, that our own work of continuous consecutive motions is logically any more basic to nature, or any richer in content, than one based on the principle of the chessboard, comprising discrete transitions between non-continuous locations?
I had reached thus far in my speeding express-train of thought when before my dazed eyes the chess pieces, like a machine that had suddenly been switched on, began flicking themselves around the board, switching from square to square with all the abruptness of the winking patterns of lights on a computer console. After this brief, flurried display they arranged themselves in a formation which left the centre of the board empty and were still – except for the White King’s Knight, who went flickering among them in his corner-turning manner, executing a dizzying but gracefully arabesque circuit of the board before finishing up in the centre, where he turned to me, bowed slightly, and lifted his head to speak to me in a distant, somewhat braying tone.
In my drugged state this happening did not induce in me the same surfeit of bewilderment and incredulity that would normally, I believe, have been my reaction. Astonished I certainly was. It is not every day that one’s chess set shows a life of its own, or that the pieces remain so true to their formal nature as laid down by the rules that they move from one position to another without bothering to traverse the spaces between. Not, let me add for the sake of the record, that the pieces showed any carelessness or laziness, or that they took short cuts. In order to move, say, from Qkt4 to Kr4, a castle was required to manifest himself in all the intervening squares so as to show that he came by a definite route and that the way was unimpeded – only the Knight flashed to his opposite corner unperturbed by whatever might surround him. These manifestations were, however, fleeting in the extreme, and nothing was ever seen of the castle in between adjacent squares – because, naturally, in a game of chess there is no ‘between adjacent squares’.
But I jump ahead of myself. My astonishment was so great that I missed the Knight’s first words and he was obliged to repeat himself. What he said was:
‘We enter your haven with gratitude.’
His voice, as I have said, was distant, with a resinous, braying quality. Yet not cold or unpleasant; on the contrary it was cordial and civilised. I replied:
‘I was not aware that you were in need of haven; but that being the case, you are welcome.’ In retrospect my words might appear to have received weighty consideration, but in fact they were flippant and extemporary, the only response my brain could form to an impossible situation. And so began my conversation with the Chessboard Knight, the strangest and most informative conversation I have ever held.