incomplete Reachability versus complete reachability
NEW PHILOSOPHY OF DIRECTION AS DIMENSION AND DIMENSIONS ARE DIRECTIONS ON 2D EUCLIDEAN SPACES (every unique direction on 2D Euclidean space can represent different dimensions since these are not mixable so not addable in Sanjoy Nath's Geometrifying Trigonometry philosophy of real numbers construction systems reasoning systems) "Dimension = independent direction on 2D EUCLIDEAN space". Natural question arise is"Will the entire 2D Euclidean plane fill with dark lines if all of infinite possible directions are covered with smaller and smaller (length)representation of line segments (of all possible slopes on 2D Euclidean plane????????????" What is dimensions filling? Does dimensions completely filled guarantee non fractional Hausdroff dimension?(Fractional dimension means fractals where whole number dimensions are not exhaustively filled only fractional part of complete dimension is filled) Sanjoy Nath starts with three reasoning tools here 0 logarithm where whole...