"Reals" in Set Theory
In set theory, specifically descriptive set theory, the Baire space is used as a surrogate for the real numbers since the latter have some topological properties (connectedness) that are a technical inconvenience. Elements of Baire space are referred to as "reals".
Read more about this topic: Real Number
Famous quotes containing the words set and/or theory:
“The people always have some champion whom they set over them and nurse into greatness.... This and no other is the root from which a tyrant springs; when he first appears he is a protector.”
—Plato (c. 427–347 B.C.)
“Don’t confuse hypothesis and theory. The former is a possible explanation; the latter, the correct one. The establishment of theory is the very purpose of science.”
—Martin H. Fischer (1879–1962)
Related Subjects
Related Phrases
Related Words