Predicate logic, also known as first-order logic (FOL), is a formal system in mathematical logic that extends propositional logic by including quantifiers and predicates. It is used to express statements about objects and their relationships in a structured and precise manner. Here are the key components of predicate logic: 1. **Predicates**: A predicate is a function that takes one or more objects from a domain and returns a truth value (true or false).
"Works by Archimedes" refers to the collection of mathematical and scientific writings attributed to the ancient Greek mathematician and engineer Archimedes of Syracuse, who lived from approximately 287 to 212 BC. Archimedes is renowned for his contributions to mathematics, particularly in geometry, calculus, and the understanding of the principles of leverage, buoyancy, and hydrostatics.
"Planisphaerium" typically refers to a type of celestial map or star chart that presents a two-dimensional representation of the night sky. The term can also relate to specific tools or devices used for celestial navigation, such as star globes or planispheric astrolabes.
David E. Rowe is a prominent figure in the field of engineering and applied mathematics, known for his contributions to various areas including engineering education and research. However, without more specific information, it's difficult to pinpoint which David E.
Amir Aczel was a mathematician, author, and professor known for his work in the fields of mathematics and the philosophy of mathematics. He was particularly recognized for his ability to explain complex mathematical concepts to a general audience. Aczel wrote several popular books that explore mathematical ideas and their implications in various fields, including history, science, and philosophy.
David Eugene Smith (1860–1944) was an American mathematician, educator, and author known for his contributions to the field of mathematics education. He played a significant role in the dissemination of mathematical knowledge through his writings and teachings. Smith authored several textbooks, many of which focused on the teaching and learning of mathematics at various educational levels. In addition to his work in education, he was involved in the development of mathematics curricula and participated in various mathematical organizations.
Jean van Heijenoort was a notable figure in the fields of logic and mathematics, particularly recognized for his contributions to the history and philosophy of logic. Born on January 31, 1912, and passing away on July 4, 2010, he was a mathematician, historian, and philosopher known especially for his work on formal logic and the foundations of mathematics.
Kenneth O. May was a prominent American mathematician known for his contributions to the fields of mathematics, particularly in the areas of topology and the philosophy of mathematics. He was born in 1915 and passed away in 2005. May is recognized for his work on the foundations of geometry and topology, as well as for his involvement in educational and mathematical organizations. One of his notable contributions is the May theorem, which deals with homotopy theory and the study of topological spaces.
Rosalind Tanner is not a widely recognized figure or term in common knowledge. It could potentially refer to a specific individual, fictional character, or a term used in a niche context.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. 
- Infinitely deep tables of contents:
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