Tag logic

Mathematics & Logic

Logic: Boolean Logic

Logic: Boolean Logic examines the algebraic structure of true and false values, emphasizing operations like AND, OR, and NOT that form the basis of digital circuit design and computer programming.

Mathematics & Logic

Meta-mathematics - This article investigates the foundations of mathematics through meta-mathematics, which studies the properties of mathematical systems and the relationships between different mathematical theories.

Philosophy & Ethics

Dialectical Method

The dialectical method, rooted in the works of Hegel and Marx, emphasizes the importance of dialogue and contradiction in the development of ideas, illustrating how conflict can lead to progress in thought and society.

Mathematics & Logic

Mathematics: The Role of Assumptions

In mathematics, the role of assumptions is critical, as they underpin the validity of models and conclusions drawn from data, influencing the robustness of results across various applications.

Philosophy & Ethics

Philosophy: The Philosophy of Mathematics

The philosophy of mathematics delves into the nature and significance of mathematical truths, questioning whether mathematical entities exist independently of human thought or are merely constructs of the mind.

Philosophy & Ethics

Philosophy: Analytic Philosophy

Analytic philosophy emphasizes clarity and logical rigor in philosophical argumentation, often utilizing formal logic and language analysis to tackle fundamental questions about knowledge, existence, and morality.

Philosophy & Ethics

Philosophy: Logic

Logic, a fundamental branch of philosophy, explores the principles of valid reasoning and argumentation, providing the tools necessary for critical thinking and the evaluation of truths.

Mathematics & Logic

Logic: The Laws of Thought

The Laws of Thought are fundamental principles of logic that govern reasoning and the structure of arguments, laying the groundwork for formal logic systems.

Mathematics & Logic

Mathematics: Theoretical Foundations

Mathematics: Theoretical Foundations The theoretical foundations of mathematics encompass the axioms and logical structures that underpin mathematical reasoning, forming the bedrock upon which the entire discipline is built.