6.0 macs:Mac OS X10.4.1 SntP 30 /x /y (Tet(x) & Larger(x, y)) ; This sentence and 2 say the same thing in ; different ways. /x (Tet(x) & /y Larger(x, y)) /x /y (Cube(x) & Tet(y) & Larger(x, y)) ; This sentence and the next one say the ; same thing in different ways. /x (Cube(x) & /y (Tet(y) & Larger(x, y))) /x /y (Tet(x) & Cube(y) & Larger(x, y)) /x (Tet(x) & /y (Cube(y) & Larger(x, y))) /x /y (Dodec(x) & Tet(y) & Larger(x, y)) /x (Dodec(x) & /y (Tet(y) & Larger(x, y))) /x /y /z Between(x, y, z) /x (Cube(x) & /y /z Between(x, y, z)) /x (Tet(x) & /y /z Between(x, y, z)) /x /y /z (Tet(x) & Cube(y) & Between(x, y, z)) @x @y (Cube(x) $ Larger(x, y)) ; This sentence and the next say the same thing ; in different ways. @x (Cube(x) $ @y Larger(x, y)) @x @y ((Cube(x) & Dodec(y)) $ Larger(x, y)) @x (Cube(x) $ @y (Dodec(y) $ Larger(x, y))) @x ((Cube(x) & Medium(x)) $ @y LeftOf(y, x)) ; Be sure to understand the difference between ; this sentence and the next one. @x ((Cube(x) & Medium(x)) $ @y (y # x $ LeftOf(y, x))) @x ((Tet(x) & Small(x)) $ @y FrontOf(x, y)) @x ((Tet(x) & Small(x)) $ @y (y # x $ FrontOf(x, y))) @x ((Tet(x) & Small(x)) $ @y ~FrontOf(y, x)) @x @y (BackOf(x, y) $ ~FrontOf(x, y)) /x /y (BackOf(x, y) & ~FrontOf(x, y)) /x (Tet(x) & /y /z (Dodec(y) & Dodec(z) & Between(x, y, z))) /x /y (Tet(x) & Tet(y) & /z (Dodec(z) & Between(z, x, y))) @x @y ((Cube(x) & Tet(y)) $ (FrontOf(x, y) | FrontOf(y, x))) @x @y ((Cube(x) & Tet(y)) $ (LeftOf(x, y) | LeftOf(y, x))) @x @y ((Cube(x) & Cube(y)) $ ~SameRow(x, y)) ; You may need to play the game to see why this ; has the truth value it does in Peano's World. ; Compare this with 29 and 30. @x @y [(Dodec(x) & Dodec(y)) $ SameSize(x, y)] @x @y [(Tet(x) & Tet(y)) $ ~SameSize(x, y)] ; Be sure you understand why this comes out as ; it does in Peano's World. s=343863;