Mathematics

Supertask: Infinite Operations in Finite Time

A supertask involves completing an infinite sequence of operations within a finite time. This concept, often explored in philosophical paradoxes…

5 days ago

Suffix Notation (Reverse Polish Notation)

Suffix notation, also known as reverse Polish notation (RPN), places operators after their operands. This efficient method is used in…

5 days ago

The Successor Function in Arithmetic and Logic

The successor function, denoted S(n) = n + 1, is a foundational concept in arithmetic and logic, defining the next…

5 days ago

Subordinate Connective in Logic

A subordinate connective is a logical operator appearing within the scope of another logical operator in a compound proposition. It…

5 days ago

Strongly Connected Relations

A relation R is strongly connected if for any two elements x and y, either x is related to y…

5 days ago

Strong Mathematical Induction

Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition holds for all smaller cases. This powerful technique…

5 days ago

Strong Counterexample in Intuitionistic Logic

A strong counterexample in intuitionistic logic disproves an instance of the law of excluded middle. It's a proof of negation,…

5 days ago

Strong Completeness in Logic

Strong completeness in logic means that if a formula is true in all interpretations (semantically valid), it can be proven…

5 days ago

Soundness in Logic

Soundness ensures that a logical system's derived theorems are always true under any interpretation. It's a fundamental property for reliable…

5 days ago

Skolem Paradox

The Skolem paradox highlights a contradiction between intuition and the Skolem-Lowenheim theorem. It shows that countable models can exist for…

5 days ago