Mathematics

Probability Calculus: Understanding Randomness and Events

Probability calculus is the mathematical field dedicated to the study of probability. It provides the laws and formulas essential for…

5 days ago

Primitive Recursive Relations

A primitive recursive relation is a type of relation definable using primitive recursive functions. These relations represent a subset of…

5 days ago

Primitive Recursive Functions Explained

Primitive recursive functions are a subset of computable functions defined using initial functions and operations like composition and primitive recursion.…

5 days ago

Primitive Recursion Explained

Primitive recursion defines functions by calling themselves with simpler inputs. It requires a base case to ensure termination, forming a…

5 days ago

Prelinearity Axiom

The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…

5 days ago

Prefix Notation

Prefix notation, also known as Polish notation, places operators before their operands. This structure eliminates the need for parentheses, ensuring…

5 days ago

Post Consistency in Formal Theories

A theory is Post consistent if it contains at least one unprovable statement. If all statements are provable, the theory…

5 days ago

Platonism in Philosophy of Mathematics

Platonism asserts that abstract mathematical objects, like numbers and sets, possess an objective existence independent of our minds. This view…

5 days ago

Permutation: Exchanging Formulas in Logic

Permutation is a structural rule in logic that enables the exchange of two formulas on the same side of an…

5 days ago

Peano Arithmetic

A formal system of arithmetic using axioms by Giuseppe Peano, it provides a foundational basis for the theory of natural…

5 days ago