| | 1 | === Base Template !LowerUpperMagnitudeOfPropertyRange === |
| | 2 | |
| | 3 | [[br]]!LowerUpperMagnitudeOfPropertyRange is a template for expressing the extent of a property range, in terms of maximum and minimum values on a scale. |
| | 4 | [[br]] |
| | 5 | [[br]]!LowerUpperMagnitudeOfPropertyRange(a, b, c, d) means that a is a property range, b is a scale, and c and d are numbers, and that a has c and d as, respectively, lower and upper bounds, as measured on the scale b. |
| | 6 | [[br]] |
| | 7 | [[br]]Roles: |
| | 8 | [[br]]1 hasPropertyRange !PropertyRange |
| | 9 | [[br]]2 hasScale Scale |
| | 10 | [[br]]3 hasLowerBound !ArithmeticNumber |
| | 11 | [[br]]4 hasUpperBound !ArithmeticNumber |
| | 12 | |
| | 13 | Axiom: |
| | 14 | {{{ |
| | 15 | LowerUpperMagnitudeOfPropertyRange(x1, x2, x3, x4) <-> |
| | 16 | PropertyRange(x1) & |
| | 17 | Scale(x2) & |
| | 18 | ArithmeticNumber(x3) & |
| | 19 | ArithmeticNumber(x4) & |
| | 20 | exists y1, y2(LowerUpperOfPropertyRange(x1, y1, y2) & |
| | 21 | MagnitudeOfProperty(y1, x3, x2) & |
| | 22 | MagnitudeOfProperty(y2, x4, x2)) . |
| | 23 | }}} |
