Sara Negri is a mathematician known for her work in various areas of mathematics, particularly in the field of logic and theoretical computer science. She has contributed to topics such as type theory, category theory, and the foundations of mathematics.
Torkel Franzén is a Swedish philosopher known for his work in the philosophy of language, epistemology, and the philosophy of mind. He has contributed to discussions on topics like belief revision, the nature of understanding, and philosophical problems related to the understanding of language and meaning. Franzén is also recognized for his interest in the implications of formal logic for philosophical questions. His writings often explore the intersections between philosophy and cognitive science, and he has written both scholarly articles and books in these areas.
Standard translation typically refers to the traditional method of translating text from one language to another, maintaining the original meaning, context, and tone. This approach prioritizes accuracy and fidelity to the source material, ensuring that the intended message is conveyed in the target language while adhering to linguistic and cultural norms. In practice, standard translation involves the following aspects: 1. **Literal Translation**: Directly translating words and phrases while taking into account grammatical differences between languages.
Existential quantification is a concept from mathematical logic and predicate logic that expresses that there exists at least one element in a particular domain for which a certain property or predicate holds true. It is typically denoted using the symbol ∃ (the existential quantifier).
Perdurantism is a philosophical theory regarding the ontology of objects and their persistence through time. It is primarily associated with the debate on the nature of time and identity, contrasting with another theory known as "endurantism." According to perdurantism, objects are extended in time as well as in space, and they are composed of temporal parts or stages.
In philosophy, "Simple" often refers to concepts or entities that are not composed of parts, stand-alone, or indivisible. The notion of simplicity plays a significant role in various philosophical discussions, including metaphysics, epistemology, and ethics. 1. **Metaphysical Simplicity**: In metaphysics, simplicity is often associated with the idea of ontology.
In logic and computer science, **decidability** refers to the ability to determine, algorithmically, whether a given statement or problem can be definitively resolved as true or false within a specific formal system. A problem is said to be **decidable** if there exists an algorithm (or computational procedure) that will always produce a correct yes or no answer after a finite number of steps.
Lambda-mu calculus is an extension of the traditional lambda calculus, which is a formal system for expressing computation based on function abstraction and application. The standard lambda calculus allows for defining and manipulating functions; however, it can be somewhat limited when it comes to representing control structures and certain computational aspects. Lambda-mu calculus introduces the concept of "mu" (μ) operators, which are used to capture notions of control, particularly with respect to computational effects like non-termination and continuations.
A proof procedure is a systematic method used in logic and mathematics to establish the validity or truth of a statement, theorem, or proposition. It typically involves a sequence of logical deductions, transformations, or applications of rules to derive conclusions from premises. Proof procedures can vary depending on the context in which they are applied, such as in formal systems, computational logic, or various branches of mathematics.
Adam Smith (1723–1790) was a Scottish philosopher and economist who is best known for his influential work in the field of economics and is often referred to as the "father of modern economics." His most notable works include "The Theory of Moral Sentiments" (1759) and "An Inquiry into the Nature and Causes of the Wealth of Nations" (1776).
Self-verifying theories are a concept in the philosophy of science and mathematics that refer to theories or systems that possess inherent mechanisms for confirming their own correctness or validity. This idea can be particularly relevant in the context of formal systems and mathematical logic. In a self-verifying theory, the axioms, rules of inference, and theorems are structured in such a way that the system can demonstrate its own consistency and truth without requiring external validation.
The term "tolerant sequence" can refer to different concepts depending on the context in which it is used. However, there is no widely recognized mathematical or scientific definition for "tolerant sequence" as a standalone term. In some contexts, it might refer to sequences or lists that can accommodate certain variations or errors without significant impact on their overall meaning or function.
The Age of Enlightenment, also known as the Age of Reason, was an intellectual and philosophical movement that emerged in Europe during the late 17th and 18th centuries. It emphasized reason, science, and individualism over tradition and religious authority. Prominent figures of the Enlightenment sought to challenge existing social, political, and religious norms, advocating for principles such as liberty, progress, tolerance, and the scientific method.
The 1794 Treason Trials refer to a series of legal proceedings in the United Kingdom during the 1790s, which primarily focused on events related to the "London Corresponding Society" and other organizations advocating for political reform. This period was marked by intense political unrest and fears of revolutionary movements inspired by the French Revolution.
The term "Atlantic Revolutions" generally refers to a series of interconnected political and social revolutions that occurred in the late 18th and early 19th centuries, primarily in the Americas and Europe. These revolutions were influenced by Enlightenment ideas, which emphasized reason, individual rights, and democratic governance.
The European and American voyages of scientific exploration, particularly during the 18th and 19th centuries, refer to a series of expeditions undertaken by explorers, scientists, and naturalists to study various aspects of the natural world, including geography, biology, astronomy, and anthropology. These voyages were instrumental in expanding knowledge and understanding of the Earth's ecosystems, cultures, and resources.
Firmin Abauzit (1684–1767) was a French philosopher and scholar known for his contributions to various fields, including philosophy, theology, and science. Abauzit is often recognized for his work in the areas of skepticism and rationalism, and he was associated with the broader Enlightenment movement in Europe. He was particularly noted for his critiques of established religious dogmas and his advocacy for reason and empirical evidence in understanding the world.
Gotthard Friedrich Stender (1714–1796) was a notable figure, primarily recognized for his contributions as a German philologist, linguist, and educator. He is particularly known for his work in the field of Estonian studies and for his endeavors in promoting Estonian language and culture. Stender’s efforts were pivotal in the development of Estonian literature and education during the 18th century.
"Historia narodu polskiego" (translated as "History of the Polish Nation") is a significant historical work that covers the history of Poland and its people. The book provides an in-depth account of Poland's history, culture, and key events. Various authors and historians have contributed to similar titles under this name, focusing on different periods and aspects of Polish history.
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





