Mathematical logic is a subfield of mathematics that focuses on formal systems, their structures, and the principles of reasoning. It studies topics such as proof theory, model theory, set theory, recursion theory, and computability. The main goals of mathematical logic include: 1. **Formalizing Reasoning**: Logical systems provide a framework for formal reasoning, allowing mathematicians to rigorously prove theorems and derive conclusions.
The history of computer science is a vast and intricate narrative that traces the evolution of computing from ancient tools to the sophisticated technologies we use today. Here's an overview of key milestones and developments in the history of computer science: ### Ancient Foundations - **Abacus (circa 2400 BC)**: One of the earliest known devices for performing arithmetic calculations. - **Algorithms**: The concept of algorithms dates back to ancient civilizations; for example, Euclid's algorithm for finding the greatest common divisor.
The Albert Leon Whiteman Memorial Prize is an award given in recognition of outstanding academic achievements in the field of mathematics. It is typically awarded to a student in the area of mathematics who has demonstrated significant promise and has made noteworthy contributions to the subject. The prize is named in memory of Albert Leon Whiteman, who was known for his contributions to mathematics and education.
Virtue ethics is a philosophical approach to ethics that emphasizes the role of character and virtue in moral philosophy, rather than focusing primarily on rules (deontology) or the consequences of actions (utilitarianism). It is rooted in the works of ancient philosophers, particularly Aristotle, who argued that the development of good character and virtues is essential for leading a good life and achieving eudaimonia, often translated as "flourishing" or "the good life.
"Fundamentum Astronomiae" refers to a notable work in the history of astronomy written by the Polish mathematician and astronomer Nicolaus Copernicus. Published in 1543, it is often recognized for delineating the heliocentric model of the solar system, where the sun is at the center and the planets, including Earth, revolve around it, contrary to the earlier geocentric model which placed the Earth at the center.
"Mirifici Logarithmorum Canonis Descriptio" is a work authored by the Scottish mathematician John Napier, published in 1614. The title translates to "Description of the Wonderful Canon of Logarithms." This seminal work introduced the concept of logarithms, a significant advancement in mathematics that simplifies complex calculations, particularly in multiplication and division. In this work, Napier presents the idea of logarithms, explaining how they relate to exponential functions.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact