## The New Encyclopaedia Britannica, Volume 11Encyclopaedia Britannica, 1983 - Encyclopedias and dictionaries |

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Page 45

Here x is said to be the argument of 0; a

only a single argument is said to be a ...

stand not for properties of single individuals but for relations between individuals.

Here x is said to be the argument of 0; a

**predicate**(or**predicate**variable) withonly a single argument is said to be a ...

**Predicates**with two or more argumentsstand not for properties of single individuals but for relations between individuals.

Page 48

Rules of uniform substitution for

very complicated; and, to avoid the necessity for these rules, axioms for these

systems are therefore usually given by axiom schemata in the sense explained in

II.

Rules of uniform substitution for

**predicate**calculi, though formulable, are mostlyvery complicated; and, to avoid the necessity for these rules, axioms for these

systems are therefore usually given by axiom schemata in the sense explained in

II.

Page 1083

It is then easy to use the usual rules of the

statement, "There exists an x such that, for every y, x is not M of y"; i.e., ( 3 x ) ( Vy

) ~Mxy. In other words, the negation of (3) is a theorem of the

It is then easy to use the usual rules of the

**predicate**calculus to derive also thestatement, "There exists an x such that, for every y, x is not M of y"; i.e., ( 3 x ) ( Vy

) ~Mxy. In other words, the negation of (3) is a theorem of the

**predicate**calculus.### What people are saying - Write a review

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