Deductive System: Axiom, Rule of inference, Formal proof, Theorem, Deduction, Well-formed formula, Modal logic, Justification, Belief - Tapa blanda

Sinopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A deductive system consists of the axioms and rules of inference that can be used to derive the theorems of the system. Such a deductive system is intended to preserve deductive qualities in the formulas that are expressed in the system. Usually the quality we are concerned with is truth as opposed to falsehood. However, other modalities, such as justification or belief may be preserved instead. In order to sustain its deductive integrity, a deductive apparatus must be definable without reference to any intended interpretation of the language. The aim is to ensure that each line of a derivation is merely a syntactic consequence of the lines that precede it.

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