Often, in math, disproving a hypothesis ... It wasn’t a proof of the bunkbed conjecture exactly, but it was close – a formulation of the statement which dealt with objects called hypergraphs ...

Much of mathematics is driven by intuition ... Mathematicians also wanted the bunkbed conjecture to be true. It belongs to a class of statements in an area called percolation theory, which deals with ...

Much of mathematics is driven by intuition ... Mathematicians also wanted the bunkbed conjecture to be true. It belongs to a class of statements in an area called percolation theory, which ...

new true-but-unprovable statements inevitably arise. But what if we have a conjecture that we wish to prove, starting from the usual axioms of mathematics? Can we know in advance whether a ...

Shinichi Mochizuki’s controversial mathematical proof of abc conjecture divides math experts amid cultural conflicts and ...

and Rota’s Conjecture is a way of using math to recognize these alternative structures, according to a statement by Centrum Wiskunde and Informatica. "I like to compare it to Kafka's ...

Since the conjecture was already known to be true ... it’s not a fact that all interesting statements in mathematics need to be pretty, and that they need to work out the way we want them ...

That changed, however, when Haag and Kertzer’s explorations produced data that called a well-known math conjecture into question. The local-global conjecture, widely accepted for the better part of ...

not just in number theory but in almost all areas of mathematics. There are now numerous theorems based on the Riemann conjecture. Proof of this conjecture would prove many other theorems as well ...

The reason for this persistence is not just the simplicity of the problem: the Collatz conjecture is related to other important questions in mathematics. For example, such iterative functions ...

Much of mathematics ... a statement might seem obvious, only for some hidden subtlety to reveal itself. Unexpectedly, three mathematicians have now shown that a well-known hypothesis in probability ...