Sentence examples for as a formal system from inspiring English sources

Chomsky was of a mathematical turn of mind and was interested in language as a formal system: thought, in the most abstract sense of the word.

As a formal system the propositional calculus is concerned with determining which formulas (compound proposition forms) are provable from the axioms.

Below we introduce Alpha Graphs as a formal system in a standard way, that is, to present its syntax (inductively) and its semantics (recursively).

(As an illustration: a simple theory of ancestors may be, taken as a formal system, interpreted in arithmetic; obviously this does not mean that grandmothers and such are really numbers).

Another definition sees language as a formal system of signs governed by grammatical rules of combination to communicate meaning.

This information is essential for the interpretation of a model specification as a formal system.

If it were decidable, then all true sentences would form a recursive set, and they could be taken as the axioms of a formal system that would be complete.

One of the earliest was John Lucas, who argued that Gödel's incompleteness theorem showed that a formal system (such as a computer program) could never see the truth of certain statements, while a human being could.

One of the research agenda was to explore whether Facebook, the most popular SNS in the informal domain, could make its way into a more formal educational setting and complement a formal system like Moodle (as shown in Fig. 2).

Then a formal system is considered as predicatively justifiable if it is proof-theoretically reducible to a system of ramified second order arthmetic indexed by an ordinal less then Γ0.

Realizing this conception in a formal system of proof amounts, as in Shin 1994, to specifying the syntax and semantics of diagrams.