" The vulgar almost imagine him as a finite thing."
If the principle of the universe is impersonal or unconscious, personal consciousness in finite spirits comes to wear the appearance of a blunder.
Diogenes distinctly taught that the world is of finite duration, and will be renewed out of the primitive substance.
The world consists of a finite number of atoms, which have in their own nature a self-moving force or principle.
He holds that freedom is the inalienable prerogative of the finite spirit; and this is the second point that distinguishes his theology from the heretical Gnosticism.
The name lemniscate is sometimes given to any crunodal quartic curve having only one real finite branch which is symmetric about the axis.
We have already seen that the Sephiric decade or the archetypal man, like Christ, is considered to be of a double nature, both infinite and finite, perfect and imperfect.
Now if n be any finite cardinal number, it can be proved that the class of those serial relations, which have a field whose cardinal number is n, is a relation-number.
Here also it can be seen that the science of the finite ordinals is a particular subdivision of the general theory of classes and relations.
Owing to the correspondence between the finite cardinals and the finite ordinals, the propositions of cardinal arithmetic and ordinal arithmetic correspond point by point.
But the definition of the cardinal number of a class applies when the class is not finite, and it can be proved that there are different infinite cardinal numbers, and that there is a least infinite cardinal, now usually denoted by o where to is the Hebrew letter aleph.
Under the general heading "Fundamental Notions" occur the subheadings "Foundations of Arithmetic," with the topics rational, irrational and transcendental numbers, and aggregates; "Universal Algebra," with the topics complex numbers, quaternions, ausdehnungslehre, vector analysis, matrices, and algebra of logic; and "Theory of Groups," with the topics finite and continuous groups.
The invariant theory then existing was classified by them as appertaining to " finite continuous groups."
This finite number of forms is said to constitute the complete system.
Of two or more binary forms there are also complete systems containing a finite number of forms. There are also algebraic systems, as above mentioned, involving fewer covariants which are such that all other covariants are rationally expressible in terms of them; but these smaller systems do not possess the same mathematical interest as those first mentioned.
God is not fully comprehensible by us, says Albert, because the finite is not able to grasp the infinite, yet he is not altogether beyond our knowledge; our intellects are touched by a ray of his light, and through this contact we are brought into communion with him.
Given perfect information, frictionless markets, and other theoretical impossibilities, a finite amount of utility can be achieved in that way.
There is a finite number of baseballs, beanbags, and balloons.
Is it finite, or is it for all practical purposes infinite?
This idea that there are a finite number of jobs misses the point entirely of what makes a job.
(2) However we may prolong the period of time between the action we are examining and the judgment upon it, that period will be finite, while time is infinite, and so in this respect too there can never be absolute inevitability.