<|im_start|>system
You are a helpful AI assistant.<|im_end|>
<|im_start|>user
Can you please provide me a `Formal Science Overview.md` file?
It should contain a  
|Topic|Description| 
|---|---|
|[topic1](relative-link-to-topic-overview.md)|Description of topic1|

table at the start and then after the Table it should have every Topic a s a  ## header with a more thorough description.
Use this tree as a foundation:

Formal Science/
|-- Computer Science
|--|-- Tools
|-- Formal Science Overview.md
|-- Mathematics
|--|-- Applied mathematics
|--|-- Pure Mathematics<|im_end|>
<|im_start|>assistant
Sure, here's an example of what the Formal Science Overview.md file could look like:

# Formal Science Overview
This document provides an overview of the different topics within Formal Science.

## Table of Contents

| Topic               | Description                                                                         |
|---------------------|-------------------------------------------------------------------------------------|
| Computer Science    | The study of computation and computer systems                                       |
| Mathematics         | The study of quantity, structure, space, and change                                 |
| Applied Mathematics | The use of mathematical methods to solve practical problems                         |
| Pure Mathematics    | The study of mathematics for its own sake, without regard to practical applications |

## Computer Science
Computer Science is the study of computation and computer systems. It includes a wide range of topics such as algorithms, programming languages, computer architecture, operating systems, and databases.

## Tools
Tools in computer science refer to software and hardware that help in the development, debugging, and testing of computer programs. Examples of tools include integrated development environments (IDEs), version control systems, debuggers, and profilers.

## Mathematics
Mathematics is the study of quantity, structure, space, and change. It is a broad field that includes many sub-disciplines, such as applied mathematics and pure mathematics.

## Applied Mathematics
Applied Mathematics is the use of mathematical methods to solve practical problems in fields such as physics, engineering, and finance. Examples of applied mathematics include differential equations, optimization, and numerical analysis.

## Pure Mathematics
Pure Mathematics is the study of mathematics for its own sake, without regard to practical applications. It includes areas such as algebra, geometry, and analysis.<|im_end|>
<|im_start|>user
Can you flesh it out a bit more?<|im_end|>
<|im_start|>assistant
Sure, here's an updated version with some additional information for each section:
# Formal Science Overview
This document provides an overview of the different topics within Formal Science.

## Table of Contents

| Topic               | Description                                                                         |
|---------------------|-------------------------------------------------------------------------------------|
| Computer Science    | The study of computation and computer systems                                       |
| Mathematics         | The study of quantity, structure, space, and change                                 |
| Applied Mathematics | The use of mathematical methods to solve practical problems                         |
| Pure Mathematics    | The study of mathematics for its own sake, without regard to practical applications |

## Computer Science
Computer Science is the study of computation and computer systems. It includes a wide range of topics such as algorithms, programming languages, computer architecture, operating systems, and databases. Computer scientists work to develop new software, hardware, and computing techniques that can help solve practical problems and improve our lives.

## Tools
Tools in computer science refer to software and hardware that help in the development, debugging, and testing of computer programs. Examples of tools include integrated development environments (IDEs), version control systems, debuggers, and profilers. These tools can help programmers write better code more efficiently and can make the development process more streamlined.

## Mathematics
Mathematics is the study of quantity, structure, space, and change. It is a broad field that includes many sub-disciplines, such as applied mathematics and pure mathematics. Mathematicians work to discover new mathematical structures and relationships, and to apply these structures to solve problems in fields such as physics, engineering, and economics.

## Applied Mathematics
Applied Mathematics is the use of mathematical methods to solve practical problems in fields such as physics, engineering, and finance. Examples of applied mathematics include differential equations, optimization, and numerical analysis. Applied mathematicians use mathematical models to understand real-world phenomena and to make predictions about future behavior.

## Pure Mathematics
Pure Mathematics is the study of mathematics for its own sake, without regard to practical applications. It includes areas such as algebra, geometry, and analysis. Pure mathematicians work to discover new mathematical structures and relationships, and to prove mathematical theorems using rigorous logical reasoning. The results of pure mathematical research often have surprising and unexpected applications in other fields.<|im_end|>
<|im_start|>user
It is a list of formal sciences, organized into a .md document which contains a table and lists the appropriate sciences as well as describing their domain, modus operandi, topics of interest, equipment used, and other such paraphernalia when appropriate.<|im_end|>
<|im_start|>assistant
Thank you for the clarification. Here is an updated version of the Formal Science Overview.md file with the table and descriptions for each topic:

## Formal Science Overview
This document provides an overview of various formal sciences and their domains, modus operandi, topics of interest, equipment used, and other relevant information.

| Topic               | Description                                              |
|---------------------|----------------------------------------------------------|
| Computer Science    | The study of computers, computation, and algorithms      |
| Mathematics         | The study of numbers, quantity, and space                |
| Applied mathematics | The application of mathematical methods to other fields  |
| Pure Mathematics    | The study of mathematics for its own sake, without context|

### Computer Science
Computer science is the study of algorithms, data structures, programming languages, and software development. It is a rapidly evolving field that has become increasingly important in modern society. The domain of computer science includes both theoretical and practical aspects of computing. The modus operandi of computer science involves developing and testing algorithms and software systems, analyzing computational complexity, and designing new programming languages and software tools.

Topics of interest in computer science include artificial intelligence, computer graphics, computer networks, cryptography, databases, distributed systems, human-computer interaction, programming languages, and software engineering. Equipment used in computer science includes computers, servers, software development tools, and networking equipment.

### Mathematics
Mathematics is the study of numbers, quantities, and shapes, as well as their relationships and properties. It is a foundational science that has applications in many other fields, including physics, engineering, and economics. The domain of mathematics includes both pure and applied aspects of the subject.

Pure mathematics is concerned with abstract concepts and logical reasoning, while applied mathematics involves using mathematical models and techniques to solve real-world problems. Topics of interest in mathematics include algebra, analysis, geometry, topology, probability theory, and statistics.

Equipment used in mathematics includes writing implements, paper, and computing devices for performing calculations and simulations. Mathematicians also rely heavily on mathematical notation and symbols for communicating their ideas and findings.<|im_end|>