Ever since David Hilbert introduced his programme, a lot of work has gone into examining the question of what conclusions can and cannot be algorithmically extracted from a set of axioms. But very little has been said about whether it is possible to construct a complete set of axioms from...
Why are Newton’s laws of motion such a scientific landmark? One often cited reason is their reach. The same laws governing the behaviour of an apple falling in your backyard also governs the motion of celestial bodies. Another, less frequently cited reason is their parsimony. Newton needed to invoke only...
POLLING 1. WHAT DO YOU INTEND? As we approach the 3 November election, there are many polls promising to predict the outcomes. Looking back, many people were surprised by the outcome of the 2016 presidential. Late polls had given H Clinton a win probability over 80%. Were those polls in...
Among the general public and, frequently, in the educated media, one comes across naïve and uncritical praise for the “scientific method”. Often, accusation of violating the “method” is wielded to denigrate the viewpoint of a political opponent who supposedly offended against some prestigious, generally accepted norm of reasoning. I want...
In response to the question of how a general intelligence could be recognised, Alan Turing proposed the following empirical test: Any entity that could interact with an investigator, fooling her into thinking it was a person, would be ascribed intelligence. Searle's Chinese room thought experiment rejects Turing’s test, denying that...
In the first half of the 14th century, the Franciscan friar and logician, William of Occam proposed a heuristic for deciding between alternative explanations of physical observables. As William put it: "Entities should not be multiplied without necessity". Or, as Einstein reformulated it 600 years later: "Everything should be made...