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  • How to translate When in propositional logic?
    The suggestions given are fine, but there is not always a direct read over from natural language to formal logic: when could mean "whenever" but there could, in natural language, be an implied "only" as "I only buy food when I get paid" and that is just one of the slippery ambiguities which formal language is explicitly designed to avoid
  • Whats the difference between predicate and propositional logic?
    Propositional logic is an axiomatization of Boolean logic As such predicate logic includes propositional logic Both systems are known to be consistent, e g by exhibiting models in which the axioms are satisfied Propositional logic is decidable, for example by the method of truth tables: [Truth table -- Wikipedia] and "complete" in that every tautology in the sentential calculus (basically
  • What is the logical operator for but? - Mathematics Stack Exchange
    An alternative way of conveying the same information would be to say "I am fine and he has flu " Often, the word but is used in English to mean and, especially when there is some contrast or conflict between the statements being combined To determine the logical form of a statement you must think about what the statement means, rather than just translating word by word into symbols
  • Propositional logic resolution - Mathematics Stack Exchange
    For details and proof of soundness completeness, see e g Mordechai Ben-Ari, Mathematical Logic for Computer Science (Springer, 3rd ed 2012), Chapter 4 Propositional Logic: Resolution, page 82
  • Whats the difference between the main types of logic?
    I've heard of all sorts of logic: Mathematical logic, propositional logic, first order logic, second order logic, predicate logic, Boolean logic algebra, etc What are the main differences between
  • Using the distributivity law for propositional logic
    Using the distributivity law for propositional logic Ask Question Asked 12 years, 9 months ago Modified 2 years, 11 months ago
  • What does $\\rightarrow$ mean in $p \\rightarrow q$
    In some contexts, though, people don't make this distinction between material implication (the connective) and logical implication (the $\implies$ arrow) But they are not the same thing in every context of propositional logic
  • Definition of identity law in the laws of proposition
    I'm sure this is an easy one but I'm struggling From my notes, there's this example on how to simplify a proposition using proposition laws: p $\\lor$ (p$\\land$ q) $\\equiv$ (p $\\land$ t) $\\lor





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