Logic

  • Logical Operators in Mathematics

    BySacred Mathematics

    Truth Relationships Between Mathematical Statements Introduction In the previous blog, Language and Formal Mathematical Reasoning, we examined how language introduces logical operators and relational structures that allow ideas to be related to one another. Words such as and, or, if, then and not organise how statements connect, depend on one another or exclude one another, while words such as because and…

  • Language and Formal Mathematical Reasoning

    BySacred Mathematics

    How Relational Words Prepare the Mind for Logic. Mathematical reasoning rests on relationships between ideas. Long before symbols appear, language already introduces the structures that make this reasoning possible. Everyday speech contains relational words that organise how statements connect, depend on one another, or exclude one another. Through repeated use, these structures stabilise in thought….