Mathematics
In mathematics, "the continuum" is sometimes used to denote the real line, and more generally to describe similar objects
- Continuum (set theory), the real line or the corresponding cardinal number
- Linear continuum, any ordered set that shares certain properties of the real line
- Continuum (topology), a nonempty compact connected metric space (sometimes Hausdorff space)
- Continuum hypothesis, a mathematical hypothesis
- Cardinality of the continuum, a cardinal number that represents the size of the set of real numbers
Read more about this topic: Continuum
Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”
—Walter Reisch (1903–1963)