Professor Brailsford explains the concept of the busy beaver game on Turing machines.
Professor David Brailsford
WP: Busy beaver
WP: Turing machine
The scientific method requires an open minded community and freedom of speech to discuss controversial topics. But sometimes there are unpleasant results. Revealing the truth may have effects on someone's reputation. This is where a replacement for the scientific method comes into play: the law.
There are different kinds of logical reasoning, which are used in different situation. Mathematics is deductive, natural science is inductive, and the conclusions of Sherlock Holmes are abductive.
WP: Rigour
WP: Logical reasoning
WP: Abductive reasoning
WP: Deductive reasoning
WP: Inductive reasoning
'Deduction' vs. 'Induction' vs. 'Abduction'
The Mertens conjecture was disproved in 1985.
WP: Franz Mertens
WP: Mertens function
WP: Mertens conjecture
Some background regarding the Möbius function and convolutions:
WP: Convolution
WP: Peter Gustav Lejeune Dirichlet
WP: Dirichlet convolution
WP: Hasse diagram
The Möbius function is a nice tool which is useful in number theory:
WP: August Ferdinand Möbius
WP: Möbius function
WP: Möbius inversion formula
What is agile software development? Understanding the meaning of agile is essential, but we find a lot of confusion out there. Allen Holub summarizes several problems arising from a wrong understanding and thus wrong implementation of agile.
Footage from Keynote presentation Software Architect 2014 (London, 14-17 October):
WP: Allen Holub
Manifesto for Agile Software Development
WP: Agile software development
Scrum
WP: Scrum (software development)
WP: Scaled agile framework (SAFe)
Recently in this blog: Introduction to dark matter
This is a follow up video by Angela Collier about several misunderstandings and reactions to her video and the concept of science.
The causal structure and the principle of relativity look to be in conflict when we consider an inertial moving charge in flat space. How can the field of a moving charge be pointing to the charge's actual position rather than an older one? Retarded potentials can help, but also a wavelike information output (as a postulate) is needed for an explanation, where two effects cancel exactly and lead to the observable result, to the principle of relativity and to the effect of length contraction. Is special relativity an epiphenomenon of wave superposition? Is the wavelike description of physics fundamental to relativity and quantum mechanics?