In English, for example, a word pronounced cannot exist because it has no vowels and therefore does not obey the word-formation rules of English.
12.
"Formation rules " ( also called " formal grammar " ) are a precise description of the well-formed formulas of a formal language.
13.
A " formal grammar " ( also called " formation rules " ) is a precise description of the well-formed formulas of a formal language.
14.
However, because of criticisms such as that of Kurt G�del below, the best contemporary treatments will be very precise with respect to the " formation rules " ( the syntax ) of the formulas.
15.
Euclid also proved a formation rule ( IX . 36 ) whereby q ( q + 1 ) / 2 is an even perfect number whenever q is a prime of the form 2 ^ p-1 for prime p what is now called a Mersenne prime.
16.
Although the grid was retained for the 1988 redesign, the multiple counters per unit and overly complex unit formation rules were discarded, and this last iteration of the game bore a stronger resemblance to the 1961 version, save for the full color illustrated board of the 1977 edition.
17.
Rudolf Carnap was also influenced by Husserl, not only concerning Husserl's notion of essential insight that Carnap used in his " Der Raum ", but also his notion of " formation rules " and " transformation rules " is founded on Husserl's philosophy of logic.
18.
In February 2010, on the eve of the second round of the presidential election, Tretiakov severed himself from Our Ukraine in protest against the introduction of amendments to the Law on Election of the President of Ukraine, when the election commission formation rules were changed just a few days before the voting day, thus creating conditions for election fraud.
19.
Enterprising readers might challenge themselves to invent an " axiomatic system " that uses the symbols { V, &, ~, (, ), variables a, b, c }, the formation rules specified above, and as few as possible of the laws listed below, and then derive as theorems the others as well as the truth-table valuations for V, &, and ~.
20.
In some systems there are no truth tables, but rather just formal axioms ( e . g . strings of symbols from a set { ~, ?!, (, ), variables p 1, p 2, p 3, . . . } and formula-formation rules ( rules about how to make more symbol strings from previous strings by use of e . g . substitution and modus ponens ) . the result of such a calculus will be another formula ( i . e . a well-formed symbol string ).
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