Faster access than browser!Similarities between Gödel's incompleteness theorems and Mathematics
Gödel's incompleteness theorems and Mathematics have 24 things in common (in Unionpedia): Algorithm, Arithmetic, Axiom, Axiomatic system, Bertrand Russell, Computability theory, Computational complexity theory, David Hilbert, Euclidean geometry, Formal system, Group theory, Hilbert's program, Independence (mathematical logic), Logicism, Mathematical logic, Model theory, Natural number, Philosophy of mathematics, Principia Mathematica, Proof theory, Set theory, Subset, Theorem, Turing machine.
Algorithm
In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.
Algorithm and Gödel's incompleteness theorems · Algorithm and Mathematics ·
Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
Arithmetic and Gödel's incompleteness theorems · Arithmetic and Mathematics ·
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
Axiom and Gödel's incompleteness theorems · Axiom and Mathematics ·
Axiomatic system
In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.
Axiomatic system and Gödel's incompleteness theorems · Axiomatic system and Mathematics ·
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.
Bertrand Russell and Gödel's incompleteness theorems · Bertrand Russell and Mathematics ·
Computability theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, of computer science, and of the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
Computability theory and Gödel's incompleteness theorems · Computability theory and Mathematics ·
Computational complexity theory
Computational complexity theory is a branch of the theory of computation in theoretical computer science that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other.
Computational complexity theory and Gödel's incompleteness theorems · Computational complexity theory and Mathematics ·
David Hilbert
David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.
David Hilbert and Gödel's incompleteness theorems · David Hilbert and Mathematics ·
Euclidean geometry
Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.
Euclidean geometry and Gödel's incompleteness theorems · Euclidean geometry and Mathematics ·
Formal system
A formal system is the name of a logic system usually defined in the mathematical way.
Formal system and Gödel's incompleteness theorems · Formal system and Mathematics ·
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
Gödel's incompleteness theorems and Group theory · Group theory and Mathematics ·
Hilbert's program
In mathematics, Hilbert's program, formulated by German mathematician David Hilbert in the early part of the 20th century, was a proposed solution to the foundational crisis of mathematics, when early attempts to clarify the foundations of mathematics were found to suffer from paradoxes and inconsistencies.
Gödel's incompleteness theorems and Hilbert's program · Hilbert's program and Mathematics ·
Independence (mathematical logic)
In mathematical logic, independence refers to the unprovability of a sentence from other sentences.
Gödel's incompleteness theorems and Independence (mathematical logic) · Independence (mathematical logic) and Mathematics ·
Logicism
Logicism is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is reducible to logic.
Gödel's incompleteness theorems and Logicism · Logicism and Mathematics ·
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.
Gödel's incompleteness theorems and Mathematical logic · Mathematical logic and Mathematics ·
Model theory
In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.
Gödel's incompleteness theorems and Model theory · Mathematics and Model theory ·
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
Gödel's incompleteness theorems and Natural number · Mathematics and Natural number ·
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics, and purports to provide a viewpoint of the nature and methodology of mathematics, and to understand the place of mathematics in people's lives.
Gödel's incompleteness theorems and Philosophy of mathematics · Mathematics and Philosophy of mathematics ·
Principia Mathematica
The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.
Gödel's incompleteness theorems and Principia Mathematica · Mathematics and Principia Mathematica ·
Proof theory
Proof theory is a major branchAccording to Wang (1981), pp.
Gödel's incompleteness theorems and Proof theory · Mathematics and Proof theory ·
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
Gödel's incompleteness theorems and Set theory · Mathematics and Set theory ·
Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
Gödel's incompleteness theorems and Subset · Mathematics and Subset ·
Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and generally accepted statements, such as axioms.
Gödel's incompleteness theorems and Theorem · Mathematics and Theorem ·
Turing machine
A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.
Gödel's incompleteness theorems and Turing machine · Mathematics and Turing machine ·
The list above answers the following questions
- What Gödel's incompleteness theorems and Mathematics have in common
- What are the similarities between Gödel's incompleteness theorems and Mathematics
Gödel's incompleteness theorems and Mathematics Comparison
Gödel's incompleteness theorems has 201 relations, while Mathematics has 321. As they have in common 24, the Jaccard index is 4.60% = 24 / (201 + 321).
References
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