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Hilbert's problems ranged greatly in topic and precision. Some of them, like the 3rd problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough to enable a clear affirmative or negative answer.
Hilbert’s sixth problem was a proposal to expand the axiomatic method outside the existing mathematical disciplines, to physics and beyond. This expansion requires development of semantics of physics with formal analysis of the notion of physical reality that should be done. [9]
Kyriakos Tamvakis (2005) Problems and Solutions in Quantum Mechanics (ISBN 978-0521600576) A.P. Lightman, W.H. Press, R.H. Price, and S.A. Teukolsky (1979) Problem Book in Relativity and Gravitation (ISBN 978-0691081625) W-H. Steeb (2006) Problems And Solutions in Quantum Computing And Quantum Information (ISBN 978-9812567406)
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 [1] and republished in 1999. [2] Smale composed this list in reply to a request from Vladimir Arnold, then vice-president of the International Mathematical Union, who asked several mathematicians to propose a list of problems for the 21st century.
Shi'a Muslims use different books of hadith from those used by Sunni Muslims, [b] who prize the six major hadith collections.In particular, Twelver Shi'a consider many Sunni transmitters of hadith to be unreliable because many of them took the side of Abu Bakr, Umar, Uthman and Ali instead of only Ali (and the rest of Muhammad's family) and the majority of them were narrated through certain ...