Sentence examples for with axiom from inspiring English sources
John Adams is striding into New York's musical life this month, with Axiom, a new-music ensemble at the Juilliard School, holding the door.
This method makes no difference to the theorems that can be derived, but, in some branches of logic (though not in PC), it is simpler to work with axiom schemata rather than with particular axioms and substitution rules.
Dubai Hills was third with Axiom fourth in the 21-strong field.
In accordance with the OWL semantics, Water subClassOf Inorganic is not derivable as there are models of water that comply with axiom (4) but contain additional carbon atoms.
Suppose that somebody now comes to you with a huge hypergraph built with axiom, cut, par and tensor links, pretending that it is actually a concise representation of the proof of some long standing open mathematical problem.
Consider the original Geach logic, with axiom scheme \ \textsf{G}^{1,1,1,1}\), \({\lozenge}{\square}X{\rightarrow}{\square}{\lozenge}X\) added to a system for \ \textsf{S4}\)—the system \ \textsf{S4.2}\) mentioned above.
Renée has started writing sentences such as: "Macbeth's speech now becomes riddled with axioms of God".
It begins with axioms, or accepted truths, and employs a series of logical statements to arrive at a conclusion.
Beginning with axioms and definitions, Spinoza elucidates step by step, in a series of interlinked numbered propositions, the tenets of his philosophy.
For example, if mathematicians want to study the sequence of nonnegative integers, they can begin with axioms that elaborate its structure.
The leaves of the tree are labeled with axioms.
