Infinite Subset

Some articles on infinite, subset, infinite subset:

Ramsey's Theorem - Infinite Ramsey Theorem
... result, also commonly called Ramsey's theorem, applies to infinite graphs ... also being discussed it is often called the "Infinite Ramsey theorem" ... of a graph is diminished when moving from finite to infinite graphs, theorems in this area are usually phrased in set-theoretic terminology ...
Upper And Lower Bounds - Examples
... Every subset of the natural numbers has a lower bound, since the natural numbers have a least element (0, or 1 depending on the exact definition of natural numbers) ... An infinite subset of the natural numbers cannot be bounded from above ... An infinite subset of the integers may be bounded from below or bounded from above, but not both ...

Famous quotes containing the word infinite:

    Each man has his own vocation. The talent is the call. There is one direction in which all space is open to him. He has faculties silently inviting him thither to endless exertion. He is like a ship in the river; he runs against obstructions on every side but one; on that side all obstruction is taken away, and he sweeps serenely over a deepening channel into an infinite sea.
    Ralph Waldo Emerson (1803–1882)