Gödel's Incompleteness Theorem consists of 2 theorems:
* 1st Incompleteness Theorem states that in any consistent formal system, there will always be true statements that can't be proven.
* 2nd Incompleteness Theorem says no consistent system can prove its own consistency.
The Man Behind the Theorem 👇
Kurt Gödel was an Austrian mathematician and logician. Born in 1906, he made significant contributions to logic, set theory, and the foundations of mathematics.
1/ Today, we'll explore some of the most famous unsolved problems in mathematics, discuss their significance, and look at the progress being made towards finding solutions. Let's dive in!
2/ The Riemann Hypothesis:
This conjecture, proposed by Bernhard Riemann in 1859, relates to the distribution of prime numbers. If proven true, it could have significant implications for number theory and cryptography. Despite many attempts, a proof remains elusive.
Here are some of the best books to study and master the concepts of Physics, from popular Physics books to advanced undergrad texts, from classical mechanics to quantum field theory.
A Thread 👇
1/20 "Conceptual Physics" by Paul G. Hewitt 🌍
A great introductory book that breaks down complex physics concepts into everyday language without heavy math. Perfect for high school students and anyone curious about physics!
2/20 "Physics for Scientists and Engineers" by Serway and Jewett 🔬
Popular among university students, this comprehensive textbook covers classical mechanics, electromagnetism, optics, and modern physics. A must-have for any physics undergrad.
Happy 103rd Birthday to one of the most miraculous personalities of scientific history, Prof. Richard Feynman.
1965 Nobel prize winner for his works on QED (along with J. Schwinger and Tomonaga), Dr. Feynman was a remarkably amazing educator and a great physicist.
Richard Feynman also created a mathematical theory that accounts for the phenomenon of superfluidity in liquid helium. Thereafter, he had fundamental contributions (along with Murray Gell-Mann) to weak interactions such as beta decay.
(Caltech Archives Image)
In his later years, Feynman played a significant role in the development of quark theory by putting forward his parton model of high energy proton collision processes.
He also introduced basic new computational techniques and notations into physics.