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What is Philosophiæ Naturalis Principia Mathematica, and why is it considered important?

Answered on : 2024-01-24

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1. **Definition**: Philosophiæ Naturalis Principia Mathematica, often called Principia, is a book by Isaac Newton explaining his laws of motion and the principles of natural philosophy[0].

2. **Significance**:

- **Scientific Milestone**: Regarded as a turning point in science, it's considered one of the most important scientific works ever published[0].

- **Foundation of Physics**: Newton's laws in Principia form the foundation of physics, contributing to contemporary physics, engineering, and technical practices[3].

3. **Relevance Today**: Newton's laws, outlined in Principia, remain relevant and are applied extensively in various scientific and engineering fields[3].

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Why it took 379 pages to prove 1+1=2
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Why it took 379 pages to prove 1+1=2
The video explores the historical context and challenges leading to a 379-page proof of the seemingly obvious mathematical statement, 1+1=2. Mathematicians Russell and Whitehead aimed to rebuild the foundations of mathematics to address paradoxes and contradictions. Their monumental effort, the Principia Mathematica, delved into formalism and logic, aiming to create an airtight system. However, it took a decade to cover just arithmetic, and the work faced personal and professional challenges. Despite publication, Godel's Incompleteness Theorem later undermined the project, questioning the consistency of any formal mathematical system.
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