Propositions

However, analyzing the relevant concepts and propositions, Russell proposed that what definite descriptions really express are not propositions of the subject-predicate form, but rather they express existentially quantified propositions.

The chart shown below summarizes totals spending in support and in opposition to the twelve ballot propositions on November 3. As reported by the California Secretary of State, unions, mostly government unions, spent $68 million on ballot propositions.

A pervasive tenet of coherence theories is the idea that truth is primarily a property of whole systems of propositions, and can be ascribed to individual propositions only according to their coherence with the whole.

Consequently, the propositions of a syllogism should be categorical propositions (both terms general) and syllogisms that employ only categorical terms came to be called categorical syllogisms.

For example, second-order logic has two kinds of propositions, one kind quantifying over terms, and the second kind quantifying over propositions of the first kind.

For the skeptics, the logical mode of argument was untenable, as it relied on propositions which could not be said to be either true or false without relying on further propositions.

In contrast, the Greeks used construction postulates, and emphasized problem solving. citation For the Greeks, constructions are more primitive than existence propositions, and can be used to prove existence propositions, but not vice versa.

In other words, it is not enough to consider propositions, or even the content of consciousness; "it is worthwhile to ask in every instance what kind of spirit would entertain such propositions, hold such views, and have such a consciousness.

In this sense, propositions restricted to the finite are still regarded as being either true or false, as they are in classical mathematics, but this bivalence does not extend to propositions that refer to infinite collections.

In this way, we define a deduction system to be a set of all propositions that may be deduced from another set of propositions.

I, on the contrary, am no less anxious to maintain that propositions of this kind are not 'Intuitions,’ than to maintain that propositions of my first class are Intuitions.

Many Jansenists remained firmly committed to Arnauld's proposition; they condemned the propositions in Cum occasione but disagreed that the propositions were contained in Augustinus.

Philosophy does not result in "philosophical propositions", but rather in the clarification of propositions.

Pluralist theories of truth assert that there may be more than one property that makes propositions true: ethical propositions might be true by virtue of coherence.

Propositions Propositions are units of meaning.

Questions about the properties of things are then propositions about predicates, which propositions remain to be evaluated by the investigator.

Similarly, one declarative sentence can refer to many propositions; for instance, "I am hungry" changes meaning (i.e. refers to different propositions) depending on the person uttering it.

The Intuitionist proper is distinguished by maintaining that propositions of my second class—propositions which assert that a certain action is right or a duty—are incapable of proof or disproof by any enquiry into the results of such actions.

This means that in Frege's calculus, Boole's "primary" propositions can be represented in a different way from "secondary" propositions.

This set is called 'true reachable propositions' because in non-constructive approaches to the foundations of mathematics, the set of true propositions may be larger than the set recursively constructed from the axioms and rules of inference.