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Today, the notion of progress in a single line without goal or limit seems perhaps the most parochial notion of a very parochial century.
--
Ch. 8, sct. 12

 

Lewis Mumford

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The attachment to a rationalistic, teleological notion of progress indicates the absence of true progress; he whose life does not unfold satisfyingly under its own momentum is driven to moralize it, to set up goals and rationalize their achievement as progress.

 

John Carroll

 

Pure Mathematics is the class of all propositions of the form “p implies q,” where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.

 

Bertrand Russell

 

Spirit is knowledge; but in order that knowledge should exist; it is necessary that the content of that which it knows should have attained to this ideal form, and should in this way have been negated. What Spirit is must in that way have become its own, it must have described this circle; then these forms, differences, determinations finite qualities, must have existed in order that it should make them its own. This represents both the way and the goal-that Spirit should have attained to its own notion or conception, to that which it implicitly is, and in this way only, the way which has been indicated in its abstract moments, does it attain it. Revealed religion is manifested religion, because in it God has become wholly manifest. Here all is proportionate to the notion; there is no longer anything secret in God.

 

Georg Wilhelm Friedrich Hegel

 

My father was a Brownie, Sir;
My mother was a Fairy.
The notion had occurred to her,
The children would be happier,
If they were taught to vary.

The notion soon became a craze;
And, when it once began, she
Brought us all out in different ways -
One was a Pixy, two were Fays,
Another was a Banshee.

 

Charles (Lewis Carroll) Dodgson

 

My father was a Brownie, Sir;
My mother was a Fairy.
The notion had occurred to her,
The children would be happier,
If they were taught to vary.

The notion soon became a craze;
And, when it once began, she
Brought us all out in different ways -
One was a Pixy, two were Fays,
Another was a Banshee.

 

Lewis Carroll