Formal Languages
A formal language consists of a fixed collection of sentences (also called words or formulas, depending on the context) composed from a fixed set of letters or symbols. The inventory from which these letters are taken is called the alphabet over which the language is defined. The essential feature of a formal language is that its syntax can be defined without reference to interpretation. We can determine that (P or Q) is a well-formed formula even without knowing whether it is true or false.
To distinguish the strings of symbols that are in a formal language from arbitrary strings of symbols, the former are sometimes called well-formed formulæ (wffs).
Read more about this topic: Interpretation (logic)
Famous quotes containing the words formal and/or languages:
“The spiritual kinship between Lincoln and Whitman was founded upon their Americanism, their essential Westernism. Whitman had grown up without much formal education; Lincoln had scarcely any education. One had become the notable poet of the day; one the orator of the Gettsyburg Address. It was inevitable that Whitman as a poet should turn with a feeling of kinship to Lincoln, and even without any association or contact feel that Lincoln was his.”
—Edgar Lee Masters (18691950)
“People in places many of us never heard of, whose names we cant pronounce or even spell, are speaking up for themselves. They speak in languages we once classified as exotic but whose mastery is now essential for our diplomats and businessmen. But what they say is very much the same the world over. They want a decent standard of living. They want human dignity and a voice in their own futures. They want their children to grow up strong and healthy and free.”
—Hubert H. Humphrey (19111978)