Search results
Results from the WOW.Com Content Network
The predicate calculus goes a step further than the propositional calculus to an "analysis of the inner structure of propositions" [4] It breaks a simple sentence down into two parts (i) its subject (the object (singular or plural) of discourse) and (ii) a predicate (a verb or possibly verb-clause that asserts a quality or attribute of the object(s)).
It deals with propositions [1] (which can be true or false) [10] and relations between propositions, [11] including the construction of arguments based on them. [12] Compound propositions are formed by connecting propositions by logical connectives representing the truth functions of conjunction, disjunction, implication, biconditional, and ...
A proposition is a central concept in the philosophy of language, semantics, logic, and related fields, often characterized as the primary bearer of truth or falsity. Propositions are also often characterized as the type of object that declarative sentences denote. For instance, the sentence "The sky is blue" denotes the proposition that the ...
An atomic sentence (or possibly the meaning of an atomic sentence) is called an elementary proposition by Ludwig Wittgenstein and an atomic proposition by Bertrand Russell: 4.2 The sense of a proposition is its agreement and disagreement with possibilities of existence and non-existence of states of affairs. 4.21 The simplest kind of ...
The typical example is in propositional logic, wherein a compound statement is constructed using individual statements connected by logical connectives; if the truth value of the compound statement is entirely determined by the truth value(s) of the constituent statement(s), the compound statement is called a truth function, and any logical ...
A proposition that asserts or denies that all or some of the members of one category are included in another category, fundamental in syllogistic reasoning. categorical syllogism A form of deductive reasoning in Aristotelian logic consisting of three categorical propositions that involve three terms and deduce a conclusion from two premises ...
For a compound proposition to be true, the truth values of its constituent parts must satisfy the relevant logical connectives that occur in it (most commonly: [and ...
Formulas in logic are typically built up recursively from some propositional variables, some number of logical connectives, and some logical quantifiers.Propositional variables are the atomic formulas of propositional logic, and are often denoted using capital roman letters such as , and .