## Smart answer:

# Your search for *′What is russell's paradox′* returned the following results:

### an actual contradiction

Russell’s paradox is an actual contradiction: if you assume you can quantify over all sets, then you derive a contradiction.

Source:

### a proof that the collection of all sets not containing themselves is a proper class

In the same way, Russell's paradox is a proof that the collection of all sets not containing themselves is a proper class.

Source:

### a problem for our confidence that 2+2=4 is true

Is Russell's Paradox a problem for our confidence that 2+2=4 is true?

Source:

### a negated statement whose usual proof is a refutation by contradiction

Russell's paradox shows that every set theory that contains a ... , stated set-theoretically as 'there is no set whose elements are precisely those sets that do not contain themselves', is a negated statement whose usual proof is a refutation by contradiction.

Source:

### the most famous of the logical or settheoretical paradoxes

Russell's paradox is the most famous of the logical or settheoretical paradoxes.

Source:

### the most famous of the set-theoretic paradoxes

Russell’s paradox is the most famous of the set-theoretic paradoxes; the set-theoretic paradoxesarises when one considers the set of all non self-membered sets, the Russell set.

Source:

### the most famous of the logical or set-theoretical paradoxes

Russell's paradox is the most famous of the logical or set-theoretical paradoxes.

Source:

### the theory that states: If you have a list of lists that do not list themselves, then that list must list itself, because that list doesn't contain itself

Russell's Paradox is the theory that states: If you have a list of lists that do not list themselves, then that list must list itself, because that list doesn't contain itself.

Source:

### which illustrates in a simple fashion the problems inherent in naive set theory

Russell discovers 'Russell's paradox' which illustrates in a simple fashion the problems inherent in naive set theory.

Source:

### an example of a flaw in set theory, which set theory

Not all problems are soluble without changing the system - Russell's Paradox (or the Barber of Baghdad) is an example of a flaw in set theory, which set theory can't readily be changed to fix.

Source: