predicate logic

Understanding Tolerance in Vagueness Theory

A predicate is tolerant if minor changes in an object's properties don't alter its applicability. The 'bald' predicate exemplifies tolerance;…

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Singular Terms in Logic

A singular term in logic denotes a specific object or entity, unlike general terms referring to classes or properties. It's…

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Second-Order Logic Explained

Second-order logic enhances first-order logic by enabling quantification over predicates and relations, not just individuals. It offers greater expressive power…

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Scope in Logical Formulas

Scope defines the extent of an operator's or quantifier's influence within a logical formula. Understanding scope is crucial for correctly…

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Understanding Predicates and Their Representation of Functions and Sets

A predicate P represents a function f if P(x1,...,xn,y) is true iff f(x1,...,xn)=y. A unary predicate P represents set S…

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Quantifiers in Logic

Quantifiers are fundamental logical operators like 'all' or 'some' that specify the quantity of elements in a domain satisfying a…

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Pure Predicate Logic

Pure predicate logic, also known as pure first-order logic, is a formal system for reasoning about propositions and their relationships.…

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Pure First-Order Logic

Pure first-order logic is a foundational system in logic, characterized by its exclusion of function symbols and identity. It relies…

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Punctuation in Logic

In logic, punctuation like parentheses and brackets are crucial for defining the scope and order of operations. They ensure clarity…

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Propositional Function Explained

A propositional function is an expression with variables that becomes a true or false proposition when those variables are assigned…

4 days ago