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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
- 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
- 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
- logic - Translating neither. . . nor into a mathematical logical . . .
Explore related questions logic propositional-calculus See similar questions with these tags
- Associativity of logical connectives - Mathematics Stack Exchange
According to the precedence of logical connectives, operator $\\rightarrow$ gets higher precedence than $\\leftrightarrow$ operator But what about associativity of $\\rightarrow$ operator? The implies
- 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
- What is the logical connective for Either. . Or? [duplicate]
I have a statement, Either p or q and I have to write it in terms of logical connectives but I don't get which logical connector should I be using? Here is what I did (I think there could have be
- What does the notation $\\Gamma \\vDash \\phi$ mean (in Mathematical . . .
In yet other words, $\phi$ is true in every model of $\Gamma$ If we're not speaking about ordinary first-order logic, something else may take the place of "structure" above -- for example, for propositional calculus, instead of $\forall\mathfrak A$ we would quantify over all truth assignments for the propositional variables in $\Gamma$ and $\phi$
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