The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

Algorithmic randomness and computability theory inhabit a crossroads between mathematics and computer science, providing a rigorous framework for understanding randomness in infinite sequences and ...

CHARLESTON -- A two-part lecture series titled “Reflections on the Theory of Computability” will be offered Sept. 29-30 at Eastern Illinois University. Both talks will take place from 4 to 4:50 p.m.

Quantum theory describes events that take place on extremely short time scales. In the past, such events were regarded as 'momentary' or 'instantaneous': An electron orbits the nucleus of an atom—in ...

We show that to every recursive total continuous functional Φ there is a PCF-definable representative Ψ of Φ in the hierarchy of partial continuous functionals, where PCF is Plotkin's programming ...

Lawrence Krauss is quite right that we need to be much clearer about the role of falsifiability in making a theory “scientific” (3 December, p 23). Despite taking mostly science subjects at school and ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...

What is the best way for a group of individuals to cooperate? This is a longstanding question with roots in game theory, a branch of science which uses mathematical models of how individuals should ...

This course gives an introduction to the mathematical foundations of computation. The course will look at Turing machines, universal computation, the Church-Turing thesis, the halting problem and ...