% Arithmetic solves backward, and the numeric tower keeps its % minimal shape: an integer-valued rational IS the integer. % Forward: 3 + 4. Query expression: [Plus left: 3 right: 4 result: R] % Backward: what plus 5 gives 12? Query expression: [Plus left: X right: 5 result: 12] % Through the rationals: 3 * X = 2. Query expression: [Times left: 3 right: X result: 2] % Minimal shape: 1/2 + 1/2 is the integer 1, not the rational 2/2. Query expression: [Plus left: 1/2 right: 1/2 result: R] % Rationals reduce on sight: 2/4 equals 1/2. Query expression: [Equal left: 2/4 right: 1/2]