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Barber paradox, the Glossary

Index Barber paradox

The barber paradox is a puzzle derived from Russell's paradox.[1]

Table of Contents

  1. 23 relations: Bertrand Russell, Cantor's theorem, Contradiction, Double bind, Fargo (TV series), Gödel's incompleteness theorems, Georg Cantor, Gottlob Frege, Halting problem, Lewis Carroll, List of paradoxes, Loaded question, Martin Gardner, Material conditional, Oxford University Press, Paradox, Puzzle, Russell's paradox, Set theory, Tautology (logic), Truth value, Universal quantification, University of Missouri–St. Louis.

  2. Bertrand Russell
  3. Logical paradoxes
  4. Self-referential paradoxes

Bertrand Russell

Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, logician, philosopher, and public intellectual.

See Barber paradox and Bertrand Russell

Cantor's theorem

In mathematical set theory, Cantor's theorem is a fundamental result which states that, for any set A, the set of all subsets of A, known as the power set of A, has a strictly greater cardinality than A itself.

See Barber paradox and Cantor's theorem

Contradiction

In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact.

See Barber paradox and Contradiction

Double bind

A double bind is a dilemma in communication in which an individual (or group) receives two or more reciprocally conflicting messages.

See Barber paradox and Double bind

Fargo (TV series)

Fargo is an American black comedy-crime drama television series created and primarily written by showrunner Noah Hawley.

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Gödel's incompleteness theorems

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of in formal axiomatic theories.

See Barber paradox and Gödel's incompleteness theorems

Georg Cantor

Georg Ferdinand Ludwig Philipp Cantor (– 6 January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics.

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Gottlob Frege

Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician.

See Barber paradox and Gottlob Frege

Halting problem

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the program will finish running, or continue to run forever.

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Lewis Carroll

Charles Lutwidge Dodgson (27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet, mathematician, photographer and Anglican priest.

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List of paradoxes

This list includes well known paradoxes, grouped thematically.

See Barber paradox and List of paradoxes

Loaded question

A loaded question is a form of complex question that contains a controversial assumption (e.g., a presumption of guilt).

See Barber paradox and Loaded question

Martin Gardner

Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton.

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Material conditional

The material conditional (also known as material implication) is an operation commonly used in logic.

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Oxford University Press

Oxford University Press (OUP) is the publishing house of the University of Oxford.

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Paradox

A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation.

See Barber paradox and Paradox

Puzzle

A puzzle is a game, problem, or toy that tests a person's ingenuity or knowledge.

See Barber paradox and Puzzle

Russell's paradox

In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician Bertrand Russell in 1901. Barber paradox and Russell's paradox are Bertrand Russell and self-referential paradoxes.

See Barber paradox and Russell's paradox

Set theory

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects.

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Tautology (logic)

In mathematical logic, a tautology (from ταυτολογία) is a formula or assertion that is true in every possible interpretation.

See Barber paradox and Tautology (logic)

Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values (true or false).

See Barber paradox and Truth value

Universal quantification

In mathematical logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any", "for all", or "for any".

See Barber paradox and Universal quantification

University of Missouri–St. Louis

The University of Missouri–St.

See Barber paradox and University of Missouri–St. Louis

See also

Bertrand Russell

Logical paradoxes

Self-referential paradoxes

References

[1] https://en.wikipedia.org/wiki/Barber_paradox

Also known as Barber parado, Barber's paradox, Who shaves the barber.