Adolf Lindenbaum was a significant figure in the field of mathematics, particularly known for his contributions to mathematical logic and set theory. He is noted for his work in the early to mid-20th century. Lindenbaum's most notable contribution is perhaps the Lindenbaum Extension, a method used in model theory to extend a consistent set of sentences to a complete and consistent set. This concept is an important tool in understanding model completeness and the completeness theorem in logic.
Eino Kaila (1890–1958) was a notable Finnish philosopher and psychologist known for his contributions to the fields of philosophy, psychology, and education. He was particularly influential in the development of scientific psychology in Finland and was one of the leading figures in Finnish philosophical thought during his time. Kaila is recognized for integrating ideas from various philosophical traditions and for his work on the nature of human consciousness and perception. He also addressed issues related to the philosophy of science and education.
Josef Frank (1885–1967) was an influential Austrian architect and designer known for his contributions to modern architecture and design, particularly within the context of the Vienna Secession movement and later in Sweden. He was a proponent of a holistic approach to design, emphasizing the integration of architecture, furniture, textiles, and decorative arts. Frank was born in Vienna and studied at the Technical University of Vienna.
Kurt Grelling was a German philosopher and logician known for his work in the fields of philosophy of language, logic, and mathematics. He is particularly recognized for his contributions to discussions around self-reference and paradoxes, including the famous Grelling-Nelson paradox concerning the set of all adjectives that are not self-descriptive. In this context, adjectives like "long" or "short" can be self-descriptive (e.g.
Friendship is a deep and meaningful relationship between individuals characterized by mutual affection, trust, and support. It involves emotional bonds where friends share experiences, provide comfort in difficult times, and celebrate each other's successes. Key elements of friendship typically include: 1. **Trust**: Friends should feel safe sharing their thoughts and feelings without fear of judgment. 2. **Support**: A good friend offers help and encouragement, whether emotionally, mentally, or practically.
In Christian theology, charity is considered one of the cardinal virtues and is often regarded as the most important among them. The term "charity" is derived from the Latin word "caritas," which refers to a selfless, unconditional love and concern for others. In the Christian context, charity embodies the love that God has for humanity and the love that individuals are called to express towards one another.
Diligence refers to the careful and persistent effort or work that someone puts into a task or responsibility. It involves being attentive to detail, thorough in execution, and committed to achieving goals and completing tasks effectively. Diligence is often associated with qualities such as discipline, reliability, and perseverance. In various contexts, such as education, work, or personal endeavors, diligence can lead to success and the fulfillment of commitments.
In Christianity, discernment refers to the ability to perceive and understand spiritual truths and make wise judgments in accordance with God's will. It involves recognizing the presence and guidance of the Holy Spirit and distinguishing between what is good, true, and aligned with Christian values, and what is not. Discernment is often sought in various aspects of life, including personal decisions, moral dilemmas, relationships, and understanding Scripture.
Data visualization is the graphical representation of information and data. By using visual elements like charts, graphs, maps, and infographics, data visualization tools provide an accessible way to see and understand trends, outliers, and patterns in data. Key aspects of data visualization include: 1. **Simplification of Complex Data**: It helps to simplify complex data sets, making it easier for users to analyze and interpret large amounts of information.
Jing (精) is a concept in Chinese philosophy and traditional Chinese medicine that refers to the essence or vital substance of the body. It is often associated with the idea of reproductive and developmental energy, playing a crucial role in the concepts of health, vitality, and longevity. In Daoist philosophy, Jing is considered one of the three treasures (Sanbao, 三宝), alongside Qi (气), which represents vital energy or life force, and Shen (神), which signifies spirit or consciousness.
Justice, as a virtue, refers to the moral principle of fairness, righteousness, and equitability. It embodies the idea of giving each individual their due, ensuring that people receive what they are entitled to, and considering their rights and needs. Justice can manifest in various contexts, including legal, social, and personal dimensions, and is often associated with concepts such as equity, honesty, and integrity.
" Minnesota nice" is a cultural term that describes the polite, friendly, and accommodating demeanor often associated with people from Minnesota. It embodies the values of kindness, hospitality, and a strong sense of community. Characteristics often associated with Minnesota nice include: 1. **Politeness**: Minnesotans tend to be very courteous, often using formal greetings and expressions of gratitude.
Self-control refers to the ability to regulate emotions, thoughts, and behaviors in the face of temptations and impulses. It involves resisting short-term desires in order to achieve long-term goals and may encompass various aspects, such as emotional regulation, impulse control, and the ability to delay gratification.
The "Teachings of the Seven Grandfathers" is a foundational set of Indigenous teachings that originate from the Anishinaabe culture, primarily among Native American peoples in North America. These teachings articulate important values and principles that guide behavior and relationships with oneself, others, and the world. The teachings are often conveyed through stories, ceremonies, and traditional practices.
Nancy Snow is a prominent American philosopher known for her work in the areas of moral psychology, virtue ethics, and the philosophy of emotions. She has made significant contributions to the understanding of moral motivation, the nature of compassion, and how emotions relate to ethical behavior. One of her key interests is the role of character traits in ethical decision-making and the influence of emotions on our moral judgments.
TTBB is a vocal arrangement designation that stands for "Tenor 1, Tenor 2, Baritone, and Bass." It refers to a four-part men's chorus or vocal ensemble layout, where two parts are sung by tenors, one part by a baritone (which typically sings in a range between tenor and bass), and one part by a bass. This arrangement is commonly used in choral music, allowing for rich harmonies and varied vocal textures.
Thomas Aquinas (1225–1274) was an Italian Dominican friar, theologian, and philosopher, widely regarded as one of the most influential figures in Western philosophy and Catholic theology. He is best known for his work in synthesizing Aristotelian philosophy with Christian theology, earning him the title of Doctor Angelicus (Angelic Doctor) within the Catholic Church.
Smog is a type of air pollution that results from the combination of smoke and fog, typically characterized by a thick, hazy appearance. It often occurs in urban areas where industrial emissions, vehicle exhaust, and other pollutants are prevalent. There are two main types of smog: 1. **Classical Smog**: Often referred to as "London smog," this type is primarily composed of sulfur dioxide and particulate matter.
Battenburg markings refer to a specific pattern of alternating colored blocks used primarily in emergency services and public safety vehicles for identification and visibility. The pattern typically consists of a series of squares or rectangles in two colors, arranged in a checkerboard or block-style layout. This marking is often utilized on vehicles, uniforms, and equipment to enhance visibility and make them easily recognizable, especially in low-light or emergency situations.
The Coefficient of Haze (CH) is a measurement used to quantify the amount of light scattering caused by particles suspended in the air, such as dust, smoke, and various pollutants. It is a numerical value that reflects the reduction of visibility due to these particulates. The higher the Coefficient of Haze, the more hazy or polluted the air is, leading to decreased visibility. The Coefficient of Haze is important in environmental monitoring, meteorology, and air quality assessments.

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