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Deductive reasoning is the process of drawing valid inferences. An inference is valid if its conclusion follows logically from its premises, meaning that...

they employ and the certainty of the conclusion they arrive at. Deductive reasoning offers the strongest support: the premises ensure the conclusion...

with the inductive reasoning other than deductive reasoning (such as mathematical induction), where the conclusion of a deductive argument is certain...

theorem as a corollary of law of cosines). Charles Sanders Peirce held that the most important division of kinds of deductive reasoning is that between corollarial...

In philosophy of logic, defeasible reasoning is a kind of provisional reasoning that is rationally compelling, though not deductively valid. It usually...

conclusions. Reasoning may be subdivided into forms of logical reasoning, such as deductive reasoning, inductive reasoning, and abductive reasoning. Aristotle...

representation and reasoning and metalogic, the area of automated reasoning is dedicated to understanding different aspects of reasoning. The study of automated...

Deductive reasoning allows deriving b {\displaystyle b} from a {\displaystyle a} only where b {\displaystyle b} is a formal logical consequence of a...

the structure of a deductive argument that renders the argument invalid, while an informal fallacy originates in an error in reasoning other than an improper...

logical laws of deductive reasoning. Natural deduction grew out of a context of dissatisfaction with the axiomatizations of deductive reasoning common to...

the development of deductive reasoning, as propounded by his student, Aristotle. In Protagoras (318d-f), Plato mentioned the teaching of arithmetic, astronomy...

Although reasoning systems widely support deductive inference, some systems employ abductive, inductive, defeasible and other types of reasoning. Heuristics...

later does not .: 439  In opposition, deductive reasoning is a basic form of valid reasoning. In this reasoning process a person starts with a known claim...

sub-classifications in deductive reasoning, inductive reasoning and abductive reasoning. ‘Deductive reasoning is a basic form of valid reasoning, commencing with...

Logic is the study of the forms of reasoning in arguments and the development of standards and criteria to evaluate arguments. Deductive arguments can be...

portal History of deductive reasoning History of inductive reasoning History of abductive reasoning History of the function concept History of mathematics...

To determine validity in non-obvious cases deductive reasoning is required. There is no deductive reasoning in an argument per se; such must come from...

Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical...

their goals. Deductive reasoning and inductive reasoning are quite different in their approaches. Deductive reasoning is the reasoning of proof, or logical...

syllogismos, 'conclusion, inference') is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions...