Social Sciences

Introduction to Truth Functions: Understanding Truth Tables, Truth Functional Constants, and Logical Relations

Truth functions are an essential concept in logic and mathematics, as they provide a systematic way to analyze and understand the truth values of propositions. By using truth functions, we …

Estimated read time 7 min read
Social Sciences

The Power of Venn Diagrams: Visualizing Relationships and Testing Validity

Venn Diagrams: A Diagrammatic Representation of Propositions and Arguments

Venn diagrams are a powerful tool used in logic and mathematics to visually represent relationships between different sets or categories. Since …

Estimated read time 3 min read
STEM

Understanding Categories, Functors, and the Category Cat

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Introduction

In mathematics, categories play a fundamental role in organizing and studying various mathematical structures. They provide a framework for understanding relationships between objects and morphisms. This essay will define …

Estimated read time 4 min read
STEM

The Evolution of Mathematical Concepts: Exploring Geometry, Zero, and Negative Numbers

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Over the ages, mathematics has developed into a universal language that cuts across cultural borders. In this article, we will delve into the fascinating world of mathematical concepts, explicitly exploring …

Estimated read time 3 min read
STEM

The Beginnings of Calculus: Newton, Leibniz, Euler, and Gauss

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The development of calculus marks a significant milestone in the history of mathematics. This branch of mathematics, which deals with change and motion, was independently discovered by two great minds …

STEM

Algebra, Trigonometry, and Arithmetic in the Renaissance – Analytic Geometry in the Seventeenth Century (Descartes, Fermat)

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Introduction

The Renaissance was a period of great intellectual and scientific advancement, and it witnessed significant developments in the fields of mathematics and geometry. During this time, scholars made groundbreaking …