Formal Semantics
Formal semantics explores the connection between formal systems, particularly in logic and linguistics, and their conceptual or referential meanings. It provides a rigorous framework for understanding interpretation.
Formal Proof Explained
A formal proof is a rigorous demonstration of truth within a formal system. Each step is precisely justified by a rule of inference, ensuring absolute logical validity and eliminating ambiguity.
Formal Logic
Formal logic is the study of inference based solely on logical form, disregarding the interpretation of terms. It focuses on the structure of arguments to determine validity.
Formal Language
A formal language is a set of strings built using specific rules. It's crucial in mathematics, computer science, and logic for unambiguous expression, ensuring precision and consistency in communication.
Formal Fallacy
A formal fallacy is a flaw in the structure or form of an argument, distinct from errors in its content. It's a deductive mistake where the conclusion doesn't logically follow…
Formal Consequence: Logic’s Pure Structure
A formal consequence is a conclusion derived solely from the logical form of propositions, independent of their content. It contrasts with material consequence, emphasizing structure over meaning.
Forced March Sorites Paradox
A forced march sorites paradox examines how small, incremental changes, when accumulated, can lead to a significant, contradictory outcome. It highlights issues with vague language.
Fixed Point: Understanding Mathematical and Logical Stability
A fixed point is a value that remains unchanged when a specific function or operation is applied to it. This concept is fundamental in mathematics and logic, indicating stability and…
Fitch Paradox
The Fitch paradox, a puzzle in epistemic logic, challenges our understanding of knowledge. It suggests that if certain axioms of knowledge are true, then all truths must be known, a…
First-Order Variables in Logic
First-order variables are placeholders for individuals within a specific domain in first-order logic. They are fundamental to expressing general statements and relationships about objects and their properties.