Speakur

Word Pronunciation & Dictionary

rosser's trick

Word Rarity Very rare

Frequency: Zipf frequency 0.00 in modern English

Syllables
rosser's trick
IPA
18
Scrabble Score
12
Letters
1
Syllables
8
Unique Chars

Meaning

name

A method for proving Gödel's incompleteness theorems without the assumption that the theory being considered is ω-consistent. While Gödel's original proof uses a sentence that states (informally) "This sentence is not provable", Rosser's trick uses a formula that says "If this sentence is provable, there is a shorter proof of its negation".

Etymology

Introduced by J. Barkley Rosser in 1936.

Questions

What does rosser's trick mean?
A method for proving Gödel's incompleteness theorems without the assumption that the theory being considered is ω-consistent. While Gödel's original proof uses a sentence that states (informally) "This sentence is not provable", Rosser's trick uses a formula that says "If this sentence is provable, there is a shorter proof of its negation".
Where does rosser's trick come from?
Introduced by J. Barkley Rosser in 1936.

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