# What is finite?

• (adj): Of verbs; relating to forms of the verb that are limited in time by a tense and (usually) show agreement with number and person.

### Some articles on finite:

Cofiniteness
... of a set X is a subset A whose complement in X is a finite set ... If the complement is not finite, but it is countable, then one says the set is cocountable ... arise naturally when generalizing structures on finite sets to infinite sets, particularly on infinite products, as in the product topology or direct sum ...
Option (finance) - Model Implementation - Finite Difference Models
... Once expressed in this form, a finite difference model can be derived, and the valuation obtained ... A number of implementations of finite difference methods exist for option valuation, including explicit finite difference, implicit finite difference and the Crank-Nicholson method ... can be shown to be a simplified application of the explicit finite difference method ...
Group Of Lie Type - Relations With Finite Simple Groups
... Finite groups of Lie type were among the first groups to be considered in mathematics, after cyclic, symmetric and alternating groups, with the projective special linear groups ... The systematic exploration of finite groups of Lie type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3 ... of higher dimensions and gives an important infinite family PSL(n, q) of finite simple groups ...
Gerundive
... applied to particular verb forms, usually non-finite, occurring in certain languages ... gerundive is similar in form to the gerund, which is a different non-finite verb form, serving as a verbal noun ... where it can denote verbal adjectives, verbal adverbs, or certain finite verb forms ...
Finite Thickness
... language theory, a class of languages has finite thickness if for every string s, there are only finitely many consistent languages in ... The related notion of M-finite thickness We say that satisfies the MEF-condition if for each string s and each consistent language L in the class, there is a minimal consistent language in ... Finally, is said to have M-finite thickness if it satisfies both the MEF and MFF conditions ...

### More definitions of "finite":

• (adj): Bounded or limited in magnitude or spatial or temporal extent.

### Famous quotes containing the word finite:

We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
Blaise Pascal (1623–1662)

Any language is necessarily a finite system applied with different degrees of creativity to an infinite variety of situations, and most of the words and phrases we use are “prefabricated” in the sense that we don’t coin new ones every time we speak.
David Lodge (b. 1935)

The finite is annihilated in the presence of the infinite, and becomes a pure nothing. So our spirit before God, so our justice before divine justice.
Blaise Pascal (1623–1662)