Logic

  • Logical Operators in Mathematics

    This article explores logical operators and the role they play in mathematical thinking. Words such as and, or, not, if and then may seem ordinary, but they carry powerful relationships between ideas. They help us combine statements, separate possibilities, create conditions and recognise when something follows from something else. In mathematics, these small words become essential tools for reasoning clearly.

  • Language and Formal Mathematical Reasoning

    This article explores the relationship between language and formal mathematical reasoning. Before the mind can follow a proof, interpret a definition or understand a symbolic statement, it must first learn how ideas relate through language. Words such as if, then, because, therefore, and, or and not prepare the ground for logical structure. They help us recognise conditions, consequences, distinctions and relationships. In this way, language becomes one of the first bridges into formal mathematical thought.