Sentence examples for theorem from high-quality English sources.

• The fixed point theorem is as follows:

• Theorem, in mathematics and logic, a proposition or statement that is demonstrated.

• Is something similar possible for the KS theorem?

• Compare this theorem with Tarski’s theorem.

• One important such theorem is Gödel’s theorem.

• With the proof of Theorem 5, we have completed the proof of Frege’s Theorem.

• An Ockham theorem provides a justification for Ockham’s inductive razor as a means towards epistemic aims.

• Actually, Löb’s theorem can be proved quite quickly as a consequence of the second incompleteness theorem.

Use theorem in a sentence.

• Using (2) above, theorem (4) entails the isomorphism theorem for finitary and finitely algebraizable logics.

• Boltzmann claimed that the H-theorem provided the desired theorem from mechanics corresponding to the second law.

• As Craig noted at the time, his interpolation theorem gives a neat proof of Evert Beth’s definability theorem, which runs as follows.

• In the case of the second theorem, F must contain a little bit more arithmetic than in the case of the first theorem, which holds under very weak conditions.

• There is no comment from Brouwer on Gödel’s first theorem in print; on the other hand, he clearly had the second theorem in mind when he wrote, in 1952, that

• Gödel established two different though related incompleteness theorems, usually called the first incompleteness theorem and the second incompleteness theorem.

• However, assuming the theorem applies to real-life democratic decisions, whether the theorem supports or condemns democracy depends on how reliable voters are.

• The name of the theorem is a little unfortunate, since the theorem was first proved by Tarski, and Skolem didn’t even believe it (because he didn’t believe in uncountable cardinals).

theorem sentence examples

• The Compactness Theorem was extended to the case of uncountable vocabularies by Maltsev in 1936 (see Mal'cev 1971), from which the Upward Löwenheim-Skolem theorem immediately follows.

• The most famous consequence of the bar theorem is the fan theorem, which suffices to prove the aforementioned theorem on uniform continuity, and which will be treated first.

• The fact that Bell’s theorem has roots into investigations on hidden-variables theories has led to a misconception that the theorem is a no-go theorem for hidden-variables theories tout court.

• The second epsilon theorem shows that any detour through the epsilon calculus used to derive a theorem in the language of the predicate calculus from axioms in the language of the predicate calculus can also be avoided.