Propositional logic (also called sentential logic) is logic that includes sentence letters (A,B,C) and logical connectives, but not quantifiers. The semantics of propositional logic uses truth assignments to the …

2020年10月28日 · 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 …

2023年9月28日 · 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 often φ, ψ, and χ. I …

0 How might I go about getting some intuition on the typical axiom schemes given for propositional logic? They seem rather mysterious at first glance. IMHO each of these axioms can be derived as a …

2024年7月7日 · In propositional logic there are no propositional functions because there are no predicates and variables in the syntax. See Mendelson's example: the two mathematical statements …

2024年1月22日 · 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: …

2013年1月17日 · Using the distributivity law for propositional logic Ask Question Asked 12 years, 11 months ago Modified 3 years, 1 month ago

14 Why isn’t ‘because’ a logical connective in propositional logic? Is this because the equivalent of ‘because’ is the argument of the form ‘if p p, then q q ’ ? Exactly.

2012年12月14日 · A propositional logic is said to be satisfiable if its either a tautology or contingency. Hence if a logic is a contradiction then it is said to be unsatisfiable.

2018年10月18日 · In both propositional and predicate logic, the truth value of a formula is always either true or false, once an interpretation has been given. The set $\ {true, false\}$ is not something you …