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Further, owing partly to the diminished demand for child-bearing, rising from the extreme difficulty and expense of rearing and education, and to many other complex social causes, to which we shall return later, millions of women in our modern societies are so placed as to be absolutely compelled to go through life not merely childless, but without sex relationship in any form whatever; while another mighty army of women is reduced by the dislocations of our civilisation to accepting sexual relationships which practically negate child-bearing, and whose only product is physical and moral disease.

That this relation between two vanished quantities, the fixed moment of their vanishing, is a contradiction I merely mention in passing, it should give us as little uneasiness as it has given mathematics for the two hundred or so years past. What have I done except to negate x and y; not as in metaphysics so as not to trouble myself any further about them, but in a manner demanded by the problem?

This fact seems to negate the theory that if the newspaper reporters and newscasters would give up the UFO's would go away. The people in Russia were obviously seeing something. While the European Flap was in progress, the UFO's weren't entirely neglecting the United States.

But substance possessing another nature could have nothing in common with God, and therefore could not give Him existence nor negate it. Since, therefore, the reason or cause which could negate the divine existence cannot be outside the divine nature, it will necessarily, supposing that the divine nature does not exist, be in His nature itself, which would therefore involve a contradiction.

Emanation is not an arbitrary act of divine will; it is a necessary consequence of the nature of the One. God must negate Himself, and the process is creation. The further the process of negation is carried, the less reality does the created object possess. Last in the scale comes matter, which has no self-subsistence, but is the absolute self-negation of God.

The vulgar suggestion of thrift, which is nearly inseparable from the cow, is a standing objection to the decorative use of this animal. So that in all cases, except where luxurious surroundings negate this suggestion, the use of the cow as an object of taste must be avoided.

Logic can extract all its possible consequences from any definition, and the logician who is unerbittlich consequent is often tempted, when he cannot extract a certain property from a definition, to deny that the concrete object to which the definition applies can possibly possess that property. The definition that fails to yield it must exclude or negate it.

There never was a more exquisite example of an idea abstracted from the concretes of experience and then used to oppose and negate what it was abstracted from. Philosophy and common life abound in similar instances.

Some scholarly studies of researchers such as Stephen LeRoy and Richard Porter offer support other, no less weighty, scholarship by the likes of Eugene Fama, Kenneth French, James Poterba, Allan Kleidon, and William Schwert negate it mainly by attacking Shiller's underlying assumptions and simplifications.

To negate in the dialectic is not simply to say "No," or to describe a thing as non-existent, or to destroy it after any fashion that you may choose. Spinoza says "omnis determinatio est negatio," every limitation or determination is at the same time a negation.