Table of Contents
- 1 Is there an infinite amount of words?
- 2 Is the number of sentences in any natural language finite or infinite?
- 3 How many combinations of English words are there?
- 4 Which among the following is not noted as infinite language?
- 5 What is language infinity?
- 6 Is there such a thing as a finite language?
- 7 How can a sentence be infinite in length?
Is there an infinite amount of words?
No, effectively it is not. With the cap on the number of words, it will be humanly impossible to produce an INfinite amount of sentences.
Is the number of sentences in any natural language finite or infinite?
All sentences of all natural languages are of finite length, but there is no n, as in (1).
What is the difference between finite and infinite language?
a finite language is any set L of strings, of finite cardinality, |L|<∞. an infinite language is any set L of strings, of infinite (ℵ0) cardinality |L|=∞.
Is human language finite or infinite?
Human language is generative, which means that it can communicate an infinite number of ideas from a finite number of parts. Human language is recursive, which means that it can build upon itself without limits. Human language uses displacement, which means that it can refer to things that are not directly present.
How many combinations of English words are there?
Oxford English Dictionary, Second Edition, Volume 1. Oxford University Press, 1989. “In addition to the headwords of main entries, the Dictionary contains 157,000 combinations and derivatives in bold type, and 169,000 phrases and combinations in bold italic type, making a total of 616,500 word-forms.”
Which among the following is not noted as infinite language?
Discussion Forum
Que. | Which among the following is not notated as infinite language? |
---|---|
b. | Reverse |
c. | Factorial |
d. | L={ab}* |
Answer:Factorial |
Is a finite language regular?
All finite languages are regular; in particular the empty string language {ε} = Ø* is regular. Other typical examples include the language consisting of all strings over the alphabet {a, b} which contain an even number of as, or the language consisting of all strings of the form: several as followed by several bs.
Can a language be infinite?
(An infinite language is a language with infinitely many strings in it. {an | n ≥ 0}, {ambn | m, n ≥ 0}, and {a, b}∗ are all infinite regular languages.) If A is an infinite language, then for every natural number n ≥ 0, there exists a string w ∈ A such that |w| > n.
What is language infinity?
The discrete infinity of language means unlimited productivity from the finite means as a major design feature of language (Irvine, 2014). Discreteness means that the boundary between linguistic symbols is clear. Consequently, they can express infinite thoughts with limited linguistic symbols.
Is there such a thing as a finite language?
These are all finite languages. We then obtain other REs by applying the following three recursive rules a finite number of times: In the end, you can create infinite languages using finite descriptions (a regular expression). A finite language is a language containing a finite number of words.
Is a* a finite or infinite set?
It is not finite. It is the set {0, a, aa, aaa.}which is clearly an infinite set (0= the empty string). So it is an infinite language, right? That is, “infinite set” means “infinite language”, right? Clearly, a*is a regular language. And it is an infinite language. Thus, by Kleene’s Theorem it cannot be a regular language. Contradiction.
What is the difference between an infinite language and a language?
an infinite language is any set L of strings, of infinite ( ℵ 0) cardinality | L | = ∞. A finite L is always regular. An infinite L can be regular (sometimes called “finite-state”), decidable (sometimes called “recursive”), non-regular (non-finite-state), non-decidable, etc., A language is a set of strings.
How can a sentence be infinite in length?
Infinite use: “John knows that Mary knows that John knows that Mary knows…….that John is tall.” Aside from obvious orthagonal constraints such as memory, fatigue, mortality, the human language faculty can construct a sentence of infinite length using a finite set of words.