Sentence examples for arbitrary implication from inspiring English sources

Completeness of the stem base means that queries regarding the validity of an arbitrary implication can be answered by logical inference from this minimal rule set.

Since ε is an arbitrary positive number, the implication follows.

However, the NSA told the BBC the programme stored "lawfully collected SMS data" and any implication that collection was "arbitrary and unconstrained is false".

In Prawitz (1971) he formulates a clause for implication where he refers to arbitrary extensions of atomic systems, but in Prawitz (1973), where he formulates the completeness conjecture, and also in later papers, he does not consider extensions.

While different geometries show equivalent relationships and the selection of one versus another may be arbitrary, the particular form used may have implications for interpretation.

Behind the most fantastic, seemingly arbitrary events there is a structure (and, by implication, a universe) that makes sense.

In the statement, the NSA spokeswoman said: "As we have previously stated, the implication that NSA's collection is arbitrary and unconstrained is false.

In a statement, an NSA spokeswoman said: "As we have previously stated, the implication that NSA's collection is arbitrary and unconstrained is false.

"The implication that NSA's collection is arbitrary and unconstrained is false," the NSA said.

In a statement to the Guardian, a spokeswoman for the NSA said any implication that the agency's collection was "arbitrary and unconstrained is false".

"In addition, naming products or manufacturers would have legal implications, so we identified products by an arbitrary alphanumeric code".