Poincaré
Poincaré’s Philosophy of Mathematics
Was his philosophy of mathematics underrated?
Poincaré
Philosophy
Beginner’s Guide to Mathematical Constructivism
The foundational crisis in mathematics along with roughly four decades following it, was likely the most fertile period in the history of logic and studies in the foundations. After discovering the set-theoretic paradoxes, such as the paradox of the set of all sets, together with the logical ones, like Russell’
Differential Equations
The “Well-Posedness” of Differential Equations: the Sense of Hadamard
An overwhelmingly large portion of our modeling of the universe is accomplished by posing and solving differential equations..
History
The Limit of Logic and The Rise of The Computer
AI since Aristotle (Part 2)
Topology
The Hardest Math Problems
Six Difficult Ways of Becoming a Millionaire
Poincaré
Henri’s Adventures in Phase Space
An Intuitive Approach to Topics in Dynamical Systems
Mathematics
The Poincaré Conjecture (1904)
The shape of the universe as it was, is now and may become in the future is very hard for us to discern empirically. Einstein helped us somewhat by showing us that matter and energy (three-dimensional phenomena) in fact may interact with the a four-dimensional phenomenon: time