All power for resistance possessed by an army emanates from its ability to move. This faculty of Mobility is that inestimable quality without which nothing and by means of which everything, can be done.

From this truth it is easy to deduce the common object of all movement, which obviously is:

To minimize the mobility of the opposing force.

The hostile army having the ability to move and consequently a power for resistance equal to that possessed by the kindred army; it becomes of the first importance to discover in what way the kindred army is superior to that adverse force, which in the Normal Situation on the Chess-board is its exact counterpart in material, position and formation.

Such normal superiority of the White army over the Black army is found in the fact that:

While no mathematical demonstration of the outcome of a game at Chess is possible, nevertheless there are rational grounds for assuming that with exact play, White should win.

This decided and probably decisive advantage possessed by White can be minimized only by correcting a mathematical blemish in the game of Chess as at present constructed; which blemish, there is reason to believe, did not originally exist.

This imperfection seemingly is the result of unscientific modifications of the Italian method of Castling; which latter, from the standpoint of mathematics and of Strategetics, embodies the true spirit of that delicate and vital evolution.