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  • 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]
  • definition - Interpretations and models in propositional logic . . .
    A formula of propositional logic is true under an interpretation iff the interpretation assigns the truth value $\text T$ to that formula If a formula is true under an interpretation, then that interpretation is called a model of that formula Thus, an interpetation satisfies a formula $\varphi$ iff it is a model of the formula
  • logic - What is the difference between propositional constants . . .
    Propositional constants represent some particular proposition, while propositional variables range over the set of all atomic propositions Schemata, however, range over all propositions It is common to represent propositional constants by A, B, and C, propositional variables by P, Q, and R, and schematic letters are often Greek letters, most
  • How to demystify the axioms of propositional logic?
    Laws like Pierce's law CCCpqpp come as a bit more difficult to explain intuitively, though here goes First let's observe that the implicational propositional calculus can get axiomatized using the axiom set CpCqp; CCpCqrCCpqCpr; CCCpqpp; Thus, we only need to explain how the axiom CCNpNqCqp can derive Pierce's law
  • How to translate When in propositional logic?
    I'm looking to understand how to represent quot;When quot; in a propositional logic For example: 1: quot;I buy food when I get paid quot; Would the order of this matter, say quot;When I get pa
  • 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
  • Propositional Logic: Entailment - Mathematics Stack Exchange
    I'm trying to understand propositional logics and the concepts of entailment, but I'm struggling The concepts don't seem to be difficult in theory, but are very strange-looking when examined For example, I understand that the formal definition of entailment is that a ⊨ b iff M(a) ⊆ M(b)
  • discrete mathematics - basic theoretical question regarding difference . . .
    EDIT: the question is about propositional logic, not how we interpret formulas i am trying to understand if in one case the statement might not hold true and in the other it will(if $\omega$ is a formula or if it is a proposition)
  • Is my translation of unless into propositional logic correct?
    I have the following sentences: I won't go the library unless I need a book p: I will go the library q: I need a book I replaced unless with if not as follows: I won't go the library if I don't n





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