Search results
Results from the WOW.Com Content Network
The new problem of induction becomes one of distinguishing projectible predicates such as green and blue from non-projectible predicates such as grue and bleen. Hume, Goodman argues, missed this problem. We do not, by habit, form generalizations from all associations of events we have observed but only some of them.
A sentence can be viewed as expressing a proposition, something that must be true or false. The restriction of having no free variables is needed to make sure that sentences can have concrete, fixed truth values : as the free variables of a (general) formula can range over several values, the truth value of such a formula may vary.
First-order logic—also called predicate logic, predicate calculus, quantificational logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science. First-order logic uses quantified variables over non-logical objects, and allows the use of sentences that contain variables.
If, abstractly, the subject category is named S and the predicate category is named P, the four standard forms are: All S are P. (A form) No S are P. (E form) Some S are P. (I form) Some S are not P. (O form) A large number of sentences may be translated into one of these canonical forms while retaining all or most of the original meaning of ...
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
The first thing to extract from this passage is the fact that Peirce's Categories, or "Predicaments", are predicates of predicates. Meaningful predicates have both extension and intension , so predicates of predicates get their meanings from at least two sources of information, namely, the classes of relations and the qualities of qualities to ...
In these examples, the predicate is tall and the QNPs are a girl, many girls, every girl and no girl. The logical meaning of these sentences indicates that the property of being tall is attributed to some form of the QNP referring to girl. Along with the QNP and the predicate, there is also an inference of truth value.
The simplest constituents are atomic sentences. A contemporary semantic definition of truth would define truth for the atomic sentences as follows: An atomic sentence F(x 1,...,x n) is true (relative to an assignment of values to the variables x 1, ..., x n)) if the corresponding values of variables bear the relation expressed by the predicate F.