if a proposition is an axiom, it is a true reachable proposition.

if a proposition can be obtained from true reachable propositions by means of inference rules, it is a true reachable proposition.

In other words if one statement or proposition implies a second one, and the first statement or proposition is true, then the second one is also true.

The bishops were in favor of the proposition.

It states that for any proposition, either that proposition is true, or its negation is true.

He was in favor of the proposition.

So, that's my second proposition Trust is an essential condition to a free society.

When we have no evidence favoring either proposition, we must suspend belief in both.

Here's my approach to it all.

At the point where they are united into a single being, man, the being, becomes actual, or real.

Joachim Faiguet de Villeneuve in the article on Langue wrote a short proposition of a laconic or regularized grammar of French.

Proposition Any subset of a countable set is countable.

That's our value proposition in a prize.

In September 2008, he donated 100,000 to the campaign against California's 2008 ballot proposition Proposition 8, an initiative to overturn the state Supreme Court decision that had legalized same sex marriage.

So for the fuzzy variables x and y syntaxhighlight lang text NOT x (1 truth(x))x AND y minimum(truth(x), truth(y))x OR y maximum(truth(x), truth(y)) syntaxhighlight There are also other operators, more linguistic in nature, called hedges that can be applied.

And they start up that path by accepting a core proposition, and that proposition is the following Lying is a cooperative act.

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

He believed her assertion to be simply impossible and assented to the proposal.

Thereafter, the proof of any proposition should be, in principle, traceable back to these axioms.

Proposition The Cartesian product of two countable sets A and B is countable.

Proposition The integers Z are countable and the rational numbers Q are countable.

Call a collection of axioms recursive if a computer program can recognize whether a given proposition in the language is an axiom.

Theological noncognitivism holds that the statement God exists does not express a proposition, but is nonsensical or cognitively meaningless.

Proposition If An is a countable set for each n in N then the union of all An is also countable.

See, for examples, the territorial principle, homestead principle, and precautionary principle.

So we feel that we have a winning value proposition to transform farmers' choices, to grow our agriculture, and to change Africa.

Historical usage By Aristotle Aristotelian logic identifies a proposition as a sentence which affirms or denies a predicate of a subject.

An ad hominem (Latin for to the man or to the person ), short for argumentum ad hominem, means responding to arguments by attacking a person's character, rather than to the content of their arguments.

Note that in the terminology of first order logic, an atom is a basic proposition and is unified similarly to a Prolog term.

An agnostic theist believes in the existence of at least one deity, but regards the basis of this proposition as unknown or inherently unknowable .

Values that maintain the proposition that their prayers, and their prayers alone, maintain the cosmic balance.

In Proposition II, Archimedes gives an approximation of the value of pi (), showing that it is greater than and less than .

And the proposition that floating exchange rates are an effective system relies on assumptions about the workings of the monetary and financial system that have proved problematic I suspect a poll today would find significantly less support for it.

Formal theories Truth in logic Logic is concerned with the patterns in reason that can help tell us if a proposition is true or not.

For example, making the assertion that 'Snow is white' is true is equivalent to asserting Snow is white .

At the end of 1930, shortly after his postulation of the neutrino and immediately following his divorce in November, Pauli had a severe breakdown.

For example, if Jane has a mental state of believing that it is raining, her mental content is the proposition 'it is raining.

A number of philosophers and linguists claim that all definitions of a proposition are too vague to be useful.

The debate is over the proposition What the world needs now is nuclear energy. True or false?

And so here is the fourth proposition.

Bodies that met the first proposed definition but not the second, such as Ceres, were instead classified as dwarf planets.

He may also have encouraged an alliance between the Church and Date Masamune to take over the country (an idea advertized by the Franciscans while in Rome), which, in 1620 Japan, would have been a totally unrealistic proposition.

On February 6, 2008, the Alcatraz Island Global Peace Center Proposition C failed to pass, with 72 of voters rejecting the proposition.

The Parliament can pass a law by simple majority of the 169 representatives, who are elected on the basis of proportional representation from 19 constituencies for four year terms.

Proving a negative When the assertion to prove is a negative claim, the burden takes the form of a negative proof, proof of impossibility, or mere evidence of absence.