Incompleteness

  • (noun): The state of being incomplete and imperfect.

Some articles on incompleteness:

Jacques Bouveresse - Works - Incompleteness and Philosophy
... Apart from his work on Ludwig Wittgenstein, Jacques Bouveresse is interested in the incompleteness theorems of Kurt Gödel and their philosophical consequences ... According to Bouveresse, the incompleteness of a formal system which applies to certain mathematical systems in no way implies the incompleteness of sociology, which is not a formal system ...
Bew
... Gödel's incompleteness theorems are two theorems of mathematical logic that establish inherent limitations of all but the most trivial axiomatic systems ... The first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an "effective procedure" (e.g ... The second incompleteness theorem, an extension of the first, shows that such a system cannot demonstrate its own consistency ...
Bew - Proof Sketch For The Second Theorem
... The main difficulty in proving the second incompleteness theorem is to show that various facts about provability used in the proof of the first incompleteness theorem can be formalized within the ... Once this is done, the second incompleteness theorem follows by formalizing the entire proof of the first incompleteness theorem within the system itself ...