* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".

Duality with pluralism is considered a logical fallacy.

Duality is also sometimes called reciprocity or polarity.

Duality ( opposition ) that creates the energy ( or libido ) of the psyche, which Jung asserts expresses itself only through symbols: " It is the energy that manifests itself in the life process and is perceived subjectively as striving and desire.

Xiuhtecuhtli is a manifestation of Ometecuhtli, the Lord of Duality, and according to the Florentine Codex Xiuhtecuhtli was considered to be mother and father of the Gods, who dwelled in the turquoise enclosure in the center of earth.

This paradox is known as the Wave – particle Duality Paradox.

** The interview was also sampled in Konkhra's track " Religion is a Whore " and The Faceless's " Planetary Duality.

Duality, as such, is the assertion that truth is invariant under this operation on statements.

Duality is the observation that σ is true for some category C if and only if σ < sup > op </ sup > is true for C < sup > op </ sup >.

According to Giddens there is a " Duality of structure " by which social practice, which is the principal unit of investigation, has both a structural and an agency-component.

If the Star Goddess is the great Unity, than the Twins can be seen as representing all Duality.

Duality in the projective plane is a special case of duality for projective spaces, transformations of PG ( n, K ) ( also denoted by KP < sup > n </ sup >) with K a field, that interchange objects of dimension r with objects of dimension n-1-r ( = codimension r + 1 ).

The fact that this is an isomorphism of chain complexes is a proof of Poincaré Duality.

This result is an application of Poincaré Duality together with the Universal coefficient theorem which gives an identification and.

Poincaré Duality is closely related to the Thom Isomorphism Theorem, as we will explain here.

The Lotus Sutra's parable of the Burning House implies that all talk of Duality or Non-Duality by Buddhas and Bodhisattvas is merely Skillful Means ( Sanskrit upaya kausala ) meant to lead the deluded to a much higher truth.

Formally, this is captured by the Duality Principle for ordered sets:

Duality of polytopes and order-theoretic duality are both involutions: the dual polytope of the dual polytope of any polytope is the original polytope, and reversing all order-relations twice returns to the original order.

In Chinese creation myth | Daoist creation myth, " The Way gave birth to unity, Unity gave birth to duality, Duality gave birth to trinity, Trinity gave birth to the myriad creatures.

Originally shamanistic practices that have over time may once have been monotheistic later once since deification of an Earth Mother to the Sky father as a Duality, also including ancestor worship and an addition for a " sun deity ", polytheizing the religion and more deities were incorporated after-wards.

* E. H. Carlson, Wave – Particle Duality: Light on Project PHYSNET

Third-Wave Feminism and the Need to Reweave the Nature / Culture Duality, NWSA Journal 16 ( 3 ): 154-179.

Miguel Leon-Portilla interprets the name " Ometeotl " as " Lord of the Duality " and argues that Ometeotl was the supreme creator deity of the Aztecs, and that the Aztecs envisioned this deity as a mystical entity with a dual nature akin to the European concept of the trinity.

Duality and unity are both significant.

Duality implies distinctive cultural development while unity implies common purpose and community.

* Duality in field theory and statistical systems, Robert Savit, Rev.

* Berthold-Georg Englert, Marlan O. Scully & Herbert Walther, Quantum Optical Tests of Complementarity, Nature, Vol 351, pp 111 – 116 ( 9 May 1991 ) and ( same authors ) The Duality in Matter and Light Scientific American, pg 56 – 61, ( December 1994 ).

Gerrard teamed with Pieter Bourke ( Snog, Soma ) to issue Duality in April 1998.

Duality in the Fano plane: Each point corresponds to a line and vice versa.

* B. R. Greene and M. R. Plesser, " Duality in Calabi-Yau Moduli Space ".

I want the room in the attic prepared for him He is a most unusual lad, quite precocious in many ways.

In fact it has caused us to give serious thought to moving our residence south, because it is not easy for the most objective Southerner to sit calmly by when his host is telling a roomful of people that the only way to deal with Southerners who oppose integration is to send in troops and shoot the bastards down.

but for this discussion the most important division is between those who have been reconstructed and those who haven't.

But apart from racial problems, the old unreconstructed South -- to use the moderate words favored by Mr. Thomas Griffith -- finds itself unsympathetic to most of what is different about the civilization of the North.

The general acceptance of the idea of governmental ( i.e., societal ) responsibility for the economic well-being of the American people is surely one of the two most significant watersheds in American constitutional history.

Accidental war is so sensitive a subject that most of the people who could become directly involved in one are told just enough so they can perform their portions of incredibly complex tasks.

Even though in most cases the completion of the definitive editions of their writings is still years off, enough documentation has already been assembled to warrant drawing a new composite profile of the leadership which performed the heroic dual feats of winning American independence and founding a new nation.

It is clear that, while most writers enjoy picturing the Negro as a woolly-headed, humble old agrarian who mutters `` yassuhs '' and `` sho' nufs '' with blissful deference to his white employer ( or, in Old South terms, `` massuh '' ), this stereotype is doomed to become in reality as obsolete as Caldwell's Lester.

Presenting an individualized Negro character, it would seem, is one of the most difficult assignments a Southern writer could tackle ; ;

All but the most rabid of Confederate flag wavers admit that the Old Southern tradition is defunct in actuality and sigh that its passing was accompanied by the disappearance of many genteel and aristocratic traditions of the reputedly languid ante-bellum way of life.

Yet often fear persists because, even with the most rigid ritual, one is never quite free from the uneasy feeling that one might make some mistake or that in every previous execution one had been unaware of the really decisive act.

Perhaps the most illuminating example of the reduction of fear through understanding is derived from our increased knowledge of the nature of disease.

The consciousness it mirrors may have come earlier to Europe than to America, but it is the consciousness that most `` mature '' societies arrive at when their successes in technological and economic systematization propel them into a time of examining the not-strictly-practical ends of culture.

And the life they lead is undisciplined and for the most part unproductive, even though they make a fetish of devoting themselves to some creative pursuit -- writing, painting, music.

The music which Lautner has composed for this episode is for the most part `` rather pretty and perfectly banal ''.

Presupposed in Plato's system is a doctrine of levels of insight, in which a certain kind of detached understanding is alone capable of penetrating to the most sublime wisdom.

As long as perception is seen as composed only of isolated sense data, most of the quality and interconnectedness of existence loses its objectivity, becomes an invention of consciousness, and the result is a philosophical scepticism.

And it is precisely in this poorer economic class that one finds, and has always found, the most racial friction.

It is something which most of us try to get out from under.

We assume for this illustration that the size of the land plots is so great that the distance between dwellings is greater than the voice can carry and that most of the communication is between nearest neighbors only, as shown in Figure 2.