20-letter words containing s, e, x, c, h, a
- axiomatic set theory — (theory) One of several approaches to set theory, consisting of a formal language for talking about sets and a collection of axioms describing how they behave. There are many different axiomatisations for set theory. Each takes a slightly different approach to the problem of finding a theory that captures as much as possible of the intuitive idea of what a set is, while avoiding the paradoxes that result from accepting all of it, the most famous being Russell's paradox. The main source of trouble in naive set theory is the idea that you can specify a set by saying whether each object in the universe is in the "set" or not. Accordingly, the most important differences between different axiomatisations of set theory concern the restrictions they place on this idea (known as "comprehension"). NBG (von Neumann-Bernays-Goedel) set theory sort of allows comprehension for all formulae without restriction, but distinguishes between two kinds of set, so that the sets produced by applying comprehension are only second-class sets. NBG is exactly as powerful as ZF, in the sense that any statement that can be formalised in both theories is a theorem of ZF if and only if it is a theorem of ZFC. MK (Morse-Kelley) set theory is a strengthened version of NBG, with a simpler axiom system. It is strictly stronger than NBG, and it is possible that NBG might be consistent but MK inconsistent. ML ("Modern Logic") is to NF as NBG is to ZF. (Its name derives from the title of the book in which Quine introduced an early, defective, form of it). It is stronger than ZF (it can prove things that ZF can't), but if NF is consistent then ML is too.
- cavendish experiment — the experiment, conducted by Henry Cavendish, that determined the constant of gravitation by using a torsion balance and measuring the torsion produced by two masses placed at given distances from the masses on the balance.
- change-speed gearbox — A change-speed gearbox is a set of movable or constant gears which allows the speed ratio between input and output shafts to be changed either manually or automatically.
- characteristic x-ray — an x-ray that is emitted from an atom when an electron is displaced from an inner shell.
- docosahexaenoic acid — DHA.
- peroxysulphuric acid — a white hygroscopic crystalline unstable oxidizing acid. Formula: H2SO5
- physical examination — an examination, usually by a physician, of a person's body in order to determine his or her state of health or physical fitness, as for military service or participation in a sport.
- saxe-weimar-eisenach — a former grand duchy in Thuringia in central Germany.
- sex change operation — a surgical operation designed to change a person's physical sexual characteristics to those of the opposite sex
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