Gentzen's consistency proof and Robinson arithmetic

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

Difference between Gentzen's consistency proof and Robinson arithmetic

Gentzen's consistency proof vs. Robinson arithmetic

Gentzen's consistency proof is a result of proof theory in mathematical logic, published by Gerhard Gentzen in 1936. In mathematics, Robinson arithmetic, or Q, is a finitely axiomatized fragment of first-order Peano arithmetic (PA), first set out in R. M. Robinson (1950).

Similarities between Gentzen's consistency proof and Robinson arithmetic

Gentzen's consistency proof and Robinson arithmetic have 3 things in common (in Unionpedia): Gödel's incompleteness theorems, Natural number, Peano axioms.

Gödel's incompleteness theorems

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.

Gödel's incompleteness theorems and Gentzen's consistency proof · Gödel's incompleteness theorems and Robinson arithmetic · See more »

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").

Gentzen's consistency proof and Natural number · Natural number and Robinson arithmetic · See more »

Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.

Gentzen's consistency proof and Peano axioms · Peano axioms and Robinson arithmetic · See more »

The list above answers the following questions

What Gentzen's consistency proof and Robinson arithmetic have in common
What are the similarities between Gentzen's consistency proof and Robinson arithmetic

Gentzen's consistency proof and Robinson arithmetic Comparison

Gentzen's consistency proof has 34 relations, while Robinson arithmetic has 57. As they have in common 3, the Jaccard index is 3.30% = 3 / (34 + 57).

References

This article shows the relationship between Gentzen's consistency proof and Robinson arithmetic. To access each article from which the information was extracted, please visit:

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