@misc{Lexicon of Arguments, title = {Quotation from: Lexicon of Arguments – Concepts - Ed. Martin Schulz, 29 Mar 2024}, author = {Mates,Benson}, subject = {Conditional}, note = {I 71 Def Inference/Mates: exists when the associated subjunction (Ante/Suc) is valid. >Validity. I 84 Def Inference/Mates: is a statement j of a set G of statements, iff there is no interpretation where all statements of G are true and j is false. >Interpretation. Def Consistent: is a set G of statements if there is an interpretation where no statements of G are true. (Here, consistency = satisfiable) >Consistency, >Contradictions, >Satisfaction, >Satisfiability. Def satisfiability: a set G of statements is satisfiable if there is an interpretation in which all statements of G are true (= consistent). >Truth. Problem: this does not enable us to decide whether a statement is valid, which is an inference, or what a consistent set is. >Decidability/Mates, >Decidability.}, note = { Mate I B. Mates Elementare Logik Göttingen 1969 Mate II B. Mates Skeptical Essays Chicago 1981 }, file = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=239922} url = {http://philosophy-science-humanities-controversies.com/listview-details.php?id=239922} }