IT meaning in Academic & Science ?

Answer: What is Incompleteness Theorem mean?

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible.

The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an effective procedure (i.e., an algorithm) is capable of proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always be statements about natural numbers that are true, but that are unprovable within the system. The second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.

Employing a diagonal argument, Gödel's incompleteness theorems were the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability theorem on the formal undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem is unsolvable, and Turing's theorem that there is no algorithm to solve the halting problem.

reference

Full Form	Category
Information Theory	Academic & Science
Institute of Technology	Academic & Science
Isomeric Transition	Academic & Science
Incompleteness Theorem	Academic & Science
Integrity Test	Academic & Science
Inflation Targeting	Academic & Science
Information Technician	Academic & Science
Gartner Group, Inc.	Business
International Trade	Business
Imagination Technology	Business
International Tendering	Business
Inheritance Tax	Business
Gartner	Business
Intermediate Trunk	Computer and Networking
Internet Troll	Computing
Is The	Computing
IT = Instructional Technology Technology used to provide instruction.	Computing
Information Trickery	Computing
Indian Thoughts	Computing
Integration Testing	Computing
Italy	Country Names
Infinity Token	Cryptocurrency
IDCM Token	Cryptocurrency
Impulse Tracker Music File	File Type
Intalk Settings File	File Type
Impotent Technician	General
In Trousers	General
Ion Of The	General
Is Not The	General
Iced Tea	General
Information The	General
Interim Tool	General
ion of TWAIN	General
Is the Theme	General
in the	General
Is Typically	General
ion to	General
ion into	General
Innovation and Transformation	General
Ical Times	General
Is Often	General
Infraction Traffic	Governmental
Immediate Task	Governmental
ITT or ITT Kellogg	Governmental
Individual Transportation	Governmental
International Terrorism	Governmental
Income Tax	Governmental
Information Technology	Information Technology
Italyanca	International
Internet Technology	Internet
I'm Trash	Internet
Individual Therapy	Medical
Inhalation Therapy	Medical
Intensive Therapy	Medical
Idiopathic Thrombocytopenia	Medical
iliotibial	Medical
Immature Teratoma	Medical
Immune Tolerance	Medical
immunotoxin	Medical
Induction Therapy	Medical
Inferior Temporal	Medical
Inferior Turbinate	Medical
inferotemporal	Medical
Insulin Therapy	Medical
Intention Tremor	Medical
Intermediate Trophoblast	Medical
Intermittent Traction	Medical
Interstitial Tissue	Medical
intertrochanteric	Medical
Intradermal Test	Medical
Ischial Tuberosity	Medical
I Think	Messaging
Is There ....	Messaging
International Tour	Messaging
Induction Training	Military and Defence
Innovative Tests	Military and Defence
Interoperability Testing	Military and Defence
Information Transport	Military and Defence
Italian	Regional
Indent Tab	Softwares
Identification Transponder	Space Science
Installation Test	Space Science
Indoor Track	Sports
Iran Time [utc + 0300]	Time