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Ernst Zermelo and Principia Mathematica

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Ernst Zermelo and Principia Mathematica

Ernst Zermelo vs. Principia Mathematica

Ernst Friedrich Ferdinand Zermelo (27 July 1871 – 21 May 1953) was a German logician and mathematician, whose work has major implications for the foundations of mathematics. 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.

Similarities between Ernst Zermelo and Principia Mathematica

Ernst Zermelo and Principia Mathematica have 8 things in common (in Unionpedia): Axiom of choice, Cardinal number, Foundations of mathematics, Ivor Grattan-Guinness, Jean van Heijenoort, Russell's paradox, Set theory, Zermelo–Fraenkel set theory.

Axiom of choice

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.

Axiom of choice and Ernst Zermelo · Axiom of choice and Principia Mathematica · See more »

Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

Cardinal number and Ernst Zermelo · Cardinal number and Principia Mathematica · See more »

Foundations of mathematics

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.

Ernst Zermelo and Foundations of mathematics · Foundations of mathematics and Principia Mathematica · See more »

Ivor Grattan-Guinness

Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.

Ernst Zermelo and Ivor Grattan-Guinness · Ivor Grattan-Guinness and Principia Mathematica · See more »

Jean van Heijenoort

Jean Louis Maxime van Heijenoort (July 23, 1912 – March 29, 1986) was a pioneer historian of mathematical logic.

Ernst Zermelo and Jean van Heijenoort · Jean van Heijenoort and Principia Mathematica · See more »

Russell's paradox

In the foundations of mathematics, Russell's paradox (also known as Russell's antinomy), discovered by Bertrand Russell in 1901, showed that some attempted formalizations of the naïve set theory created by Georg Cantor led to a contradiction.

Ernst Zermelo and Russell's paradox · Principia Mathematica and Russell's paradox · See more »

Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

Ernst Zermelo and Set theory · Principia Mathematica and Set theory · See more »

Zermelo–Fraenkel set theory

In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

Ernst Zermelo and Zermelo–Fraenkel set theory · Principia Mathematica and Zermelo–Fraenkel set theory · See more »

The list above answers the following questions

Ernst Zermelo and Principia Mathematica Comparison

Ernst Zermelo has 47 relations, while Principia Mathematica has 61. As they have in common 8, the Jaccard index is 7.41% = 8 / (47 + 61).

References

This article shows the relationship between Ernst Zermelo and Principia Mathematica. To access each article from which the information was extracted, please visit:

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