DEMONSTRATION.

(_First Phase._)

Let the term +A in its degree represent the relative advantage in

Position of the Column of Attack; +S in its degree the relative advantage

in Position of the Column of Support, and +M in its degree the relative

advantage in Position of the Column of Manoeuvre; let equality in

Position of the several Columns be represented by the terms =A, =S, =M,

and let inferiority in Positions of the several Columns be represented

by the terms -A, -S, -M, and let those terms appertaining to the White

Columns be written above a line and those terms appertaining to the Black

Columns be written below the line, and let that collection of terms

containing the plus and equal signs of greater Strategetic value be the

Major Premise and that collection of terms containing the signs of lesser

strategetic value be the Minor Premise of the _Strategic Syllogism_ thus

constructed.

Let the ability to move while the opposing force must remain stationary

be represented by the term +T, and let the converse be represented by

the term -T, and let superiority in Numbers be represented by the term

+N; the equality in Numbers by the term =N, and inferiority in Numbers

by the term -N, and let the combining of any form of the terms T and N

constitute a _Tactico-Logistic Inequality_.

Let any combination of that Strategic Syllogism which appertains to a

given Strategetic Situation with the corresponding Tactico-Logistic

Inequality, form the _Initial Strategetic Equation_.

Let the plus terms and the equality terms, which are contained in the

Initial Strategetic Equation, be expanded into their highest forms

according to the table of Strategetic Values, and annex to each of such

terms that numeral which expresses the relative rank of such term in

those calculations which appertain to the pending Prime Strategetic

Proposition.

Compare the values so obtained and let the highest _Strategetically_ be

regarded as the menace most immediately decisive, then:

If the term +T appertain to the Piece operating such menace, let such

Piece be regarded as the Corps d’armee en Menace, and the Objective of

such menace as the Prime Decisive Point; the occupation of such Point

by such Piece as the Normal Motif of Offensive Effort, and the Logistic

Radius connecting the Point of Departure occupied by such Piece and the

Prime Decisive Point as the Normal Direction of Offensive Effort.

If the term +T does NOT apply to that menace which combined with the term

+T would be most immediately decisive, then:

By further comparison of the terms of the Initial Strategetic Equation,

select that Decisive Menace strategetically next in sequence to which

the term +T does appertain; and let the Piece operating such Decisive

Menace be regarded as the Corps d’armee en Menace; the Objective of such

menace as the Prime Decisive Point; the occupation of such Point by such

Piece as the Normal Motif of Offensive Effort, and the Logistic Radius

connecting the Point of Departure occupied by such Piece and the Prime

Decisive Points as the Normal direction of Offensive Effort.

Provided:

Whenever the term +T appertains to a Menace not so immediately decisive

as another menace operated by an adverse army, column, wing or corps

d’armee, but to which the term +T does _not_ appertain, then: the Normal

motif of Effort is _defensive_, and the Normal direction of Defensive

Effort is along the Logistic Radius between the Point of Departure of

that Kindred Piece, which by the advantage of the term +A, is able to

nullify the adverse most immediately Decisive Menace and that Point of

Command which is the Objective of such Effort en Defence and from whence

such adverse most immediately Decisive Menace may be nullified.

* * * * *

The second or Intermediate Phase of the Prime Strategetic Proposition

appertains to Grand Manoeuvres; and the third, or Final Phase, appertains

to Grand Operations.

_However vast one’s capabilities may be, there is no mind so

comprehensive but that it has much to learn from other minds which have

preceded it, and no talent is so potential but that its development is

proportional to its exercise._

_For no matter how broad and exact one’s knowledge, the application of

such knowledge alone constitutes Art, and the value of such knowledge

always is commensurate to the degree of skill attained in the use of it._

_Hence, there is a training of the physical senses which gives quickness

and strength to the eye, the ear and the hand; a training of the nervous

organism which gives courage to the heart, clearness to the brain, and

steadiness to the body; a training of the intellect which fructifies in

originality, ingenuity, profundity and exactness of calculation._

_Such training is to be acquired only from systematic study of the best

productions by Masters of the Art, and by incessant practice with the

best proficients._

Chess Generalship, Vol. I. Grand Reconnaissance · 第 222 / 222 题