logic - What is the difference between propositional constants ...
Sep 28, 2023 · 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 understand …
Is a propositional function a proposition in propositional logic ...
Jul 7, 2024 · 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 "x is prime" …
How to demystify the axioms of propositional logic?
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 …
Propositional logic resolution - Mathematics Stack Exchange
Jan 22, 2024 · 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: …
How to translate "When" in propositional logic?
Oct 28, 2020 · 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 …
What's the difference between predicate and propositional logic?
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 …
Why isn’t ‘because’ a logical connective in propositional logic?
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.
How is "interpretation" used differently in propositional vs. first ...
Oct 18, 2018 · 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 …
Is my translation of unless into propositional logic correct?
May 28, 2016 · Is my translation of unless into propositional logic correct? Ask Question Asked 9 years, 7 months ago Modified 7 years, 8 months ago
definition - Interpretations and models in propositional logic ...
It's possible that considering propositional logic is making this too simplified, and that, at the cost of some additional complexity, the distinctions would be clearer in predicate logic. For example, you …