That is, every consistent set of first order sentences can be extended to a maximal consistent set.

Tatoeba Sentences, sentences, and more sentences.

Informally, model theory can be divided into classical model theory, model theory applied to groups and fields, and geometric model theory.

Formal theories, systems and proofs In mathematical logic, a formal theory is a set of sentences expressed in a formal language.

To axiomatize a system of knowledge is to show that its claims can be derived from a small, well understood set of sentences (the axioms).

Sentences past this ID are sentences added by contributors of Tatoeba Project.

The approach involves letting truth be a partially defined property over the set of grammatically well formed sentences in the language.

You can search sentences containing a certain word and get translations for these sentences.

So many heads, so many minds.

Mathematical logic If S is a set of sentences of first order logic and B is a consistent subset of S , then B is included in a set that is maximal among consistent subsets of S .

Should I send you more sentences?

Tatoeba has almost 3 million sentences!

It says that a set of sentences has a model if and only if every finite subset has a model, or in other words that an inconsistent set of formulas must have a finite inconsistent subset.

Translate the following sentences into Japanese.

I like that my sentences are translated.

Tom compulsively writes sentences every day.

He lectured on the Bible as an apprentice professor, and upon becoming a baccalaureus Sententiarum (bachelor of the Sentences ) devoted his final three years of study to commenting on Peter Lombard's Sentences .

The formalization of Con( T ) depends on two factors formalizing the notion of a sentence being derivable from a set of sentences and formalizing the notion of being an axiom of T .

The great advantage of recursion is that an infinite set of possible sentences, designs or other data can be defined, parsed or produced by a finite computer program.

The sentences were read out on 30 September 1946.

He explained the literal meaning of the sentences.

I can add many sentences in different languages.

Could you translate some sentences for me?

I've never seen so many sentences in my life!

Tom compulsively writes sentences every day.

Well, inspired by the sentences, I decided to wield the paintbrush.

I'd appreciate it if someone translated my sentences.

Manoel is translating some sentences in this exact moment.

I would just like to thank you for translating my sentences.

You can add sentences you don't know how to translate.

I've decided to write 20 sentences a day on Tatoeba.

But most of it is about more punitive sentencing, harsher sentencing.

I would just like to thank you for translating my sentences.

The special case where S is the set of all first order sentences in a given signature is weaker, equivalent to the Boolean prime ideal theorem see the section Weaker forms below.

So we love sentences. But, even more, we love languages.

But where do we get those sentences? And how do we translate them?

In March 2011 the sentences were reinstated to the original 20 years.

By this time they are hearing phrases and sentences rather than words.

It is a finite set of rules which are based on a subconscious set of procedures that can be applied to generate all those and only those sentences (often, but not necessarily, infinite in number) that are grammatical in a given language.

It is a great joy to see your own sentences translated into a multitude of other languages.

It's a great joy to see your own sentences translated into a multitude of other languages.

Why sentences? you may ask. Well, because sentences are more interesting.

What sentences would we write if Tom and Mary died in this very moment?

Theological writings In libros Sententiarum (Commentary on the Sentences of Peter Lombard).

), the referents of that clauses and the meanings of declarative sentences.