Joseph R. Shoenfield was an American mathematician known for his contributions to mathematical logic and set theory, particularly in the area of recursion theory and the foundations of mathematics. He is best known for his work on definability, effective computability, and the relationships between different levels of infinity. One of his significant contributions is the development of concepts related to degrees of unsolvability and the structure of recursively enumerable sets.
Arthur Prior was a New Zealand philosopher and logician, best known for his contributions to the fields of modal logic and tense logic. He was born in 1914 and passed away in 1969. One of his most significant contributions is the development of "tense logic," which deals with the logical properties of statements that refer to time. Prior's work sought to formalize the way we discuss propositions in relation to time, distinguishing between past, present, and future events.
Benedict Freedman is not a widely recognized figure or term in general knowledge, literature, or popular culture as of my last knowledge update in October 2023. It's possible that he could be a lesser-known individual in a specific field such as academia, business, or the arts, or a fictional character.
Benedikt Löwe is a German logician and philosopher known for his work in the areas of logic, philosophy of mathematics, and the foundations of mathematics. He has contributed to various topics, including modal logic, proof theory, and the philosophy of science. Löwe has also been involved in educational initiatives related to mathematics and logic, enhancing the understanding of these fields through research and teaching.
Christine Paulin-Mohring is a notable French mathematician, recognized for her contributions in the field of algebra, particularly in the areas of category theory and type theory. She has been involved in various educational and research initiatives, often focusing on the interplay between mathematics and computer science. Additionally, she is known for her efforts in promoting mathematics education and outreach.
Cristina Sernadas is a notable figure in the field of computer science and artificial intelligence, particularly known for her work in research and academia. She has been involved in areas such as machine learning, natural language processing, and computational models.
Dag Prawitz is a Swedish logician and philosopher known for his contributions to the field of proof theory and constructive mathematics. Born in 1936, Prawitz is particularly recognized for developing the natural deduction system, a framework for formal reasoning that emphasizes the role of logical inference in proofs. His work has significantly impacted the understanding of how formal proofs can be constructed and verified, aligning closely with intuitionistic logic, which is foundational in constructive approaches to mathematics.
Gennady Makanin is a Russian author known for his contributions to contemporary literature. He was born on February 6, 1937, and has written a variety of novels, short stories, and essays. Makanin's works often explore themes of human existence, identity, and the complexities of life in modern society. He is recognized for his unique narrative style and his ability to blend the everyday with philosophical insights.
Katalin Bimbó is not a widely recognized name or term, and there might not be publicly available information about a person or entity by that name.
Grigori Mints is a mathematician known for his work in logic, mathematical foundations, and computer science. He has made significant contributions in areas such as proof theory, computational complexity, and the foundations of mathematics. He is particularly recognized for his development of various logical systems and his work on formal proofs. Mints has authored several publications in these fields and has been involved in research that explores the connections between logic and computer science.
Hajnal Andréka is a Hungarian logician and professor, known for her contributions to the fields of mathematical logic, formal reasoning, and the philosophy of mathematics. She has worked extensively on various topics, including modal logics, algebraic logic, and the interplay between logic and computer science. Andréka has published numerous papers and has been involved in academic research that explores the foundations of logic and its applications.
Heinrich Scholz (1884–1956) was a notable German philosopher and logician, particularly recognized for his contributions to the fields of mathematical logic and the philosophy of mathematics. Scholz played a significant role in the development of formal systems and was involved in discussions surrounding proof theory and the foundations of mathematics. He is often associated with the work of the Göttingen School of Mathematics and the Hilbert program, which aimed to establish a solid foundation for all of mathematics.
Henk Barendregt is a prominent Dutch mathematician and computer scientist known for his contributions to the fields of logic, type theory, and lambda calculus. He has worked extensively on topics related to the foundations of mathematics, automated theorem proving, and the formalization of mathematical concepts. Barendregt is particularly recognized for his work on the untyped and typed lambda calculi, as well as for his role in the development of proof assistants and formal verification methods.
Herbert Enderton (1935–2019) was a prominent mathematician known for his work in mathematical logic, particularly in set theory and model theory. He is perhaps best known for his textbook "A Mathematical Introduction to Logic," which is widely used in undergraduate courses on logic and has been influential in the field. Enderton's contributions to mathematical logic include topics such as computability theory, the foundations of mathematics, and formal systems.
The calculation of glass properties involves understanding and determining various physical and chemical characteristics of glass, which is a non-crystalline, solid material typically made from silica and other additives. The properties of glass can be affected by its composition, manufacturing process, and desired application. Here are some key properties of glass and how they can be calculated or measured: ### 1. **Composition Analysis** - **Mole Percent Calculations**: Determine the mole percent of each oxide in the glass composition.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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