sense, propositions are "statements" that are truth-bearers. This conception of a proposition was supported by the philosophical school of logical positivism...

Logical consequence (also entailment) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement...

constant. Connectives can be used to connect logical formulas. For instance in the syntax of propositional logic, the binary connective ∨ {\displaystyle...

and the conclusion are propositions, i.e. true or false claims about what is the case. Together, they form an argument. Logical reasoning is norm-governed...

construction of arguments based on them. Compound propositions are formed by connecting propositions by logical connectives representing the truth functions...

yield true conclusions. Types of propositional fallacies: Affirming a disjunct – concluding that one disjunct of a logical disjunction must be false because...

also called the logical not or logical complement, is an operation that takes a proposition P {\displaystyle P} to another proposition "not P {\displaystyle...

for reasoning. In mathematics, an axiom may be a "logical axiom" or a "non-logical axiom". Logical axioms are taken to be true within the system of logic...

simpler propositions linked by logical vocabulary like ∧ {\displaystyle \land } (and) or → {\displaystyle \to } (if...then). Simple propositions also have...

how to define, that belongs to logical propositions but not to others. Here, logical proposition refers to a proposition that is provable using the laws...