Emmy Noether
Noether's theorem linking symmetry and conservation laws
Most quoted
"The development of abstract algebra, which is one of the most characteristic features of mathematics today, is the inevitable outcome of the historical evolution of our science."
— from Attributed from lectures
"My work is not about finding solutions to specific problems, but about developing general theories that can be applied to many problems."
"For all that, I should like to thank the founder of the theory, Herr Dedekind; his trend of thought has affected the above developments."
— from Paper: 'Abstrakter Aufbau der Idealtheorie in algebraischen Zahl- und Funktionenkörpern', 1927
All quotes by Emmy Noether (640)
What will our soldiers think when they return to the university and find that they are required to learn at the feet of a woman?
My heart is in Göttingen, but I must go where I can work.
I am not a dangerous radical; I am a mathematician.
The most fruitful concepts are those to which one can give many different interpretations.
A ring need not have a multiplicative identity; it is a more general structure.
The theory of modules is the proper setting for linear algebra.
In non-commutative algebra, the ideals play the role of normal subgroups.
The ascending chain condition is a powerful finiteness condition in algebra.
Time translation symmetry gives energy conservation; this is not just a coincidence but a deep principle.
The laws of physics are independent of the point of view—that is the meaning of invariance.
To understand nature, look for its symmetries.
The connection between symmetry and conservation is the most beautiful result in theoretical physics.
I have always been more interested in the general than the particular.
Mathematics knows no races or geographic boundaries.
A clear formulation of a problem is often more than half its solution.
The goal of algebra is to reveal the structure that lies hidden in calculations.
Do not compute; think!
In the end, it is the simplicity and depth of an idea that matters.
I owe much to my father, who taught me to think logically.
The world is comprehensible because it is governed by symmetrical laws.
Contemporaries of Emmy Noether
Other Physicss born within 50 years of Emmy Noether (1882–1935).