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technology-and-ethics.md

Social and Ethical Implications of TechnologyPublished

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Communication TechnologyPublished

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Transportation TechnologyPublished

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Energy TechnologyPublished

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NanotechnologyPublished

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BiotechnologyPublished

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Information TechnologyPublished

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History of TechnologyPublished

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index.md

Ryan's Poetry: An Odyssey of Digital MusingsPublished

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Embers of CreationPublished

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testPublished

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Microsoft Copilot Successfully Lands AirplanePublished

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Ethics in EngineeringPublished

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Environmental EngineeringPublished

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Software EngineeringPublished

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Aerospace EngineeringPublished

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Civil EngineeringPublished

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Introducing Dark Mode Avatars on AstrohackerPublished

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future-of-mathematics.md

The Future of MathematicsPublished

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Applied MathematicsPublished

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Discrete MathematicsPublished

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Statistics and ProbabilityPublished

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CalculusPublished

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GeometryPublished

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AlgebraPublished

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Arithmetic and Number TheoryPublished

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Mathematics as the Universal LanguagePublished

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progress-sep-2023.md

Progress on Astrohacker and What's ComingPublished

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science-and-ethics.md

The Intersection of Science and EthicsPublished

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Overview of Applied SciencesPublished

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Overview of Social SciencesPublished

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Overview of Astronomy and CosmologyPublished

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Overview of Earth SciencesPublished

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Overview of BiologyPublished

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Overview of ChemistryPublished

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Overview of PhysicsPublished

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The Scientific MethodPublished

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Evolution of KnowledgePublished

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Ethics of KnowledgePublished

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Knowledge in Artificial IntelligencePublished

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Knowledge in MathematicsPublished

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Limits of Human KnowledgePublished

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The Role of Perception in KnowledgePublished

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The Source of KnowledgePublished

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Types of KnowledgePublished

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Astrohacker TeamPublished

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Unbelievable: Elon Musk is Behind the UFO PhenomenonPublished

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Jordan Peterson Cries After Stubbing His ToePublished

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Artificial Intelligence is the Most Important Thing to Happen to the Web Since Dark ModePublished

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Overview of the FuturePublished

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Overview of Skillsets and How-TosPublished

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Overview of the Universe and BeyondPublished

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Humanities and Social SciencesPublished

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Overview of TechnologyPublished

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Overview of EngineeringPublished

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Overview of MathematicsPublished

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Overview of SciencePublished

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What is Knowledge?Published

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An Overview of What There is to KnowPublished

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US Government and AI Business Leaders Propose New Legislation Making It Illegal for AI to Cause Harm, Solving the AI Alignment ProblemPublished

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UN Climate Change Organization Pivots to Focus on AI CrisisPublished

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Pfizer Obtains Patent for Vaccine Against Viral AIPublished

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Last week's hot AI proposes pausing all development on new AI to save humanity from annihilation after losing income to this week's hot AIPublished

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OpenAI CEO Flys Around the World to Meet World Leaders for Small Talk and Totally Forgets to Mention AIPublished

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AI Safety Advocate Develops Hyper-Realistic Simulation of Air Strike Against Dangerous AI with AIPublished

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Elon Musk's new AI, TruthGPT, the most accurate AI ever created, spreads misinformation on COVID vaccines according to the New York TimesPublished

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Mechanically Male Robot Wins Women's Powerlifting CompetitionPublished

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Friendly Godzilla AI Terrifies Tokyo ResidentsPublished

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Should Artificial Americans be Granted the Right to Vote?Published

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I've been following the Philosophy Lectures (from the very beginning with RxC) and continuing to learn and grow.Published

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Looks interestingPublished

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**< haha > ------ \ ^^ \ (oo)_****()\ )/\ ||----w | |**Published

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# Overview of Mathematics

## Introduction

Mathematics is the abstract study of topics encompassing quantity, structure, change, and space. Far from being solely a collection of numbers and equations, mathematics serves as the foundation for nearly all scientific and technological endeavors.

## The Language of the Universe

Some have described mathematics as the "language of the universe," capturing the underlying patterns and relationships that govern natural phenomena. For a deeper look into this concept, read mathematics-as-universal-language.md.

## Arithmetic and Number Theory

Arithmetic is often our first exposure to mathematics, focusing on basic operations like addition and subtraction. Number theory extends these concepts, exploring the properties and relationships of numbers, especially integers. Learn more in arithmetic-and-number-theory.md.

A displacement graph tracking the erratic movement of a squirrel in a dog's field of vision. Squirrel kinematics!

A displacement graph tracking the erratic movement of a squirrel in a dog's field of vision. Squirrel kinematics!

## Algebra

Algebra provides the means to generalize arithmetic, allowing us to manipulate mathematical symbols rather than specific numbers. This extends to solving equations and understanding mathematical structures. For a detailed view, consult overview-of-algebra.md.

## Geometry

Geometry involves the study of shapes, sizes, and the properties of space. The subject can range from elementary topics, such as the study of circles, to more complex fields like topology. Read more at overview-of-geometry.md.

## Calculus

Calculus is the mathematical study of continuous change. It is divided into differential calculus, which concerns rates of change and slopes, and integral calculus, concerned with areas and accumulation. To explore further, see overview-of-calculus.md.

## Statistics and Probability

Statistics is the study of data: how to collect, summarize, and interpret it. Probability theory provides the theoretical foundation for statistics, allowing us to understand and quantify uncertainty. For more details, refer to statistics-and-probability.md.

## Discrete Mathematics

Discrete mathematics deals with mathematical structures that are fundamentally discrete, as opposed to continuous. This includes subjects like graph theory, combinatorics, and number theory. Learn more by visiting overview-of-discrete-mathematics.md.

## Applied Mathematics

Applied mathematics concerns the application of mathematics to solve problems in other fields like physics, engineering, economics, and biology. For a deeper understanding, consult overview-of-applied-mathematics.md.

## The Future of Mathematics

As we make advancements in technology and our understanding of the world, new areas of mathematics continue to emerge. Whether it's in data science, cryptography, or machine learning, the role of mathematics is ever-expanding. For a glimpse into the future, see future-of-mathematics.md.

## Conclusion

Mathematics is a rich and diverse field that provides the tools necessary for understanding and shaping the world around us. Its utility spans multiple disciplines, offering endless avenues for exploration and discovery.

A maze composed of mathematical symbols, representing the complexities and intricacies of the subject