Logical Clock Algorithms
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Logical Clock Algorithms
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usually under ...
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Modus Ponendo Ponens
In propositional calculus, propositional logic, ''modus ponens'' (; MP), also known as ''modus ponendo wiktionary:ponens, ponens'' (Latin for "method of putting by placing") or implication elimination or affirming the antecedent, is a Deductive reasoning, deductive argument form and rule of inference. It can be summarized as "''P material conditional, implies Q.'' ''P'' is true. Therefore ''Q'' must also be true." ''Modus ponens'' is closely related to another Validity (logic), valid form of argument, ''modus tollens''. Both have apparently similar but invalid forms such as affirming the consequent, denying the antecedent, and evidence of absence. Constructive dilemma is the Logical disjunction, disjunctive version of ''modus ponens''. Hypothetical syllogism is closely related to ''modus ponens'' and sometimes thought of as "double ''modus ponens''." The history of ''modus ponens'' goes back to Classical antiquity, antiquity. The first to explicitly describe the argument for ...
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