# Tagged Questions

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### Making first order logic statements

I'm working on an assignment that deals with predicate calculus, and I'm trying to put sentences into first order logic statements. I've got the hang of most of them, but I'm not quite sure how to do ...
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### Constructing Proof Trees for Natural Deduction

I'm in the process of learning the process of writing so-called proof trees for $\textit{Natural Deduction}$. One question that I still grapple with is the actual process According to Van Dalen ...
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### Relationship between propositional logic, first-order logic, second-order logic higher-order logic, and type theory

I understand there is propositional logic, first-order logic, second-order logic higher-order logic, and type theory, where the latter logics are extensions of the former logics. Can someone explain ...
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### Is first-order logic more expressive than propositional logic with infinite statements?

I read that the difference between propositional logic and first-order logic is that in the latter, we can quantify over individual objects. However, if infinitely long statements are allowed, it ...
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### Propositional Logic and First-Order Logic

I am having a hard time distinguishing between the two different logics. If we consider the statement, “Squares adjacent to the Wumpus are smelly,” and are asked to express it as First-Order Logic, ...
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### Some doubts about interpretation of an atomic formula in predicate calculus

I have some doubt related to the interpretation of atomics formulas in predicate calculus. In predicate calculus a formula will be interpreted on a specific domain that is where I take the allowed ...
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### Some doubts about predicate calculus

I am studying the predicate calculus in First Order Logic and I have some doubt about this argument. In my book I find that a formula in the predicate calculus is built from Literals constructed ...
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### what is the diffrence between a term , constant and variable in first order logic languages ?

in the text , the author says that the language contains parenthises , sentintial connectives and n-place functions , n-place predicates , equality sign = , terms , constans and variables i have two ...
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### a good text for a first course in mathematical logic

in last two months , i asked many people about good text for first mathematical logic . after that a chose some text , first order mathematical logic , angelo magrais , it is ok but the text uses ...
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### what is the difference between formula and the abbrevation of a formula?

there is a problem which is asking me to determine whether a string is a formula or an abbrevation of a formula but i don't know the diffrence of formula and the abbrevation of a formula i know ...
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### what is the definition of an interpretation of first order theory $T$ ? what is a model for $T$?

what is the definition of an interpretation of first order theory $T$ ? what is a model for $T$ ? can you give me the definition supported with some simple examples ? i read the definition in ...