Sentence examples for no axiom from inspiring English sources

Concerning the proof theory of IPDL, difficulties appear when we realize that no axiom schema, in the language of PDL with intersection, "corresponds" to the semantics xRy iff xRy and xRy of the program α∩β.

"No axiom is more clearly established in law or in reason than...wherever a general power to do a thing is given, every particular power for doing it is included".--James Madison, The Federalist Papers.

In his defense of the necessary-and-proper clause, Madison stated that, "No axiom is more clearly established in law, or in reason, than that wherever the end is required, the means are authorised; wherever a general power to do a thing is given, every particular power necessary for doing it, is included".

Should you need a further boost from our founders, recall James Madison's comment in the Federalist Paper #44: "No axiom is more clearly established in law or in reason than... wherever a general power to do a thing is given, every particular power for doing it is included".

There are condtions on frames that correspond to no axioms, and there are even conditions on frames for which no system is adequate.

Cocchiarella (1977) presents a formal language, though no axioms or rules, for a logic of sortals which includes both tense and modal operators.

The 20th Century has seen very many different kinds of proof system, from so-called Hilbert proofs, with simple rules and complex axioms, to natural deduction systems, with few (or even no) axioms and very many rules.

Formal ontologies could also only have axioms that state how the things the theory is about, whatever they may be, relate to each other, but no axioms that state that certain things exist.

In evaluating Henrich et al.'s interpretation of these data, we should first note that no axioms of RPT, or of the various models of decision mentioned in Section 8.1, which are applied jointly with game theoretic modeling to human choice data, specify or entail the property of narrow selfishness.

According to the Contributions, all axioms have simple subject- and predicate-concepts, although, conversely, a proposition containing only simple concepts is not necessarily an axiom; no such criterion is present in the TS (perhaps he knew better by then).

So if there is no design axiom stating that you can find utility in futility if you know where to look, there is now.