* 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 is most commonly defined in terms of polar reciprocation about a concentric sphere.

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.

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.

Duality can also be seen as a functor, at least in the realm of vector spaces.

Duality also reached # 137 on the Billboard 200, and also # 2 for 18 weeks on Heatseekers Albums.

This formulation of Poincaré Duality has become quite popular as it provides a means to define Poincaré Duality for any generalized homology theories provided one has a Thom Isomorphism for that homology theory.

Through the years of 2008-09, FedNor plans to deliver the Economic Development Initiative ( EDI ) of the Federal Strategy for Official Languages called the Roadmap for Canada ’ s Linguistic Duality 2008 — 2013: Acting for the Future!

* Duality principle for sets

* Gray, E. & Tall, D. ( 1994 ) " Duality, Ambiguity, and Flexibility: A " Proceptual " View of Simple Arithmetic ", Journal for Research in Mathematics Education 25 ( 2 ) p. 116-40.

Duality first appeared for actions of the reals in the work of Connes and Takesaki on the classification of Type III factors.

The papal backers had been busy propounding arguments to show that royal power was not of divine origin.

In one case, the Seventh Circuit issued an order giving such an attorney " 14 days to show cause why he should not be fined $ 10, 000 for his frivolous arguments ".

But I hope to have said enough to show that we ought to take the possibility of some sort of panpsychism seriously: there seem to be no knockdown arguments against the view, and there are various positive reasons why one might embrace it.

Most of his arguments were in the form of examples that were anecdotal or speculative in nature, and functioned as attempts to show how " exotic " grammatical traits were connected to what were apparently equally exotic worlds of thought.

Debate continued over the generations ; Delmedigo's arguments were echoed by Leon of Modena ( d. 1648 ) in his Ari Nohem, and a work devoted to the criticism of the Zohar, Miṭpaḥat Sefarim, was written by Jacob Emden ( d. 1776 ), who, waging war against the remaining adherents of the Sabbatai Zevi movement ( in which Zevi, a false messiah and Jewish apostate, cited Messianic prophecies from the Zohar as proof of his legitimacy ), endeavored to show that the book on which Zevi based his doctrines was a forgery.

" has used statistical arguments to show that electronic publishing online, and to some extent open access, both provide wider dissemination and increase the average number of citations an article receives.

Despite arguments that realism cannot be achieved in reality shows because the outcomes may or may not have been scripted, Geoff King argues in his book, Spectacle of the Real: From Hollywood to Reality TV and Beyond that even though the contestants are in a fabricated setting and the situation has been set up for a certain outcome, as in real love shows such as The Bachelor and The Bachelorette, these contestants still harbor feelings that make their participation in the show real to them.

However, he goes on to show that such arguments cannot be leveled against the particular communitarian theories of Michael Walzer and Mervyn Frost.

Many languages show mixed accusative and ergative behaviour ( for example: ergative morphology marking the verb arguments, on top of an accusative syntax ).

While the proclaimed goal was to level school quality up, the converse claim was made that the grammar schools ' excellence was being sacrificed with little to show in the way of improvement of other schools ( for details and sources on this and related arguments, see article on Debates on the grammar school ).

Records show Roberts had indicated his desire to overturn the Adkins decision two days after oral arguments concluded for the Parrish case on December 19, 1936.

He was the first formal logician ( i. e. he gave the principles of reasoning using variables to show the underlying logical form of arguments ).

Gee also stated that, while purely aquatic mammals such as whales show strong skeletal evidence of adaptation to water, humans and human fossils lack such adaptations ( a comment made by others as well ); that there are many hypothetical and equally plausible scenarios explaining the unique characteristics of human adaptation without involving an aquatic phase of evolution ; and that proponents are basing arguments about past adaptations on present physiology, when humans are not significantly aquatic.

And such Christians will also show, that as in philosophy there are many who appear to be in possession of the truth, who have yet either deceived themselves by plausible arguments, or by rashly assenting to what was brought forward and discovered by others ; so also, among those souls which exist apart from bodies, both angels and demons, there are some which have been induced by plausible reasons to declare themselves gods.

Xenophon however, like Plato and Aristotle, was a follower of Socrates, and his works show approval of a " teleological argument ", while Machiavelli rejected such arguments.

Paul Boghossian raised an objection to the class of Twin-Earth style arguments for externalism in the form of an argument that aims to show that externalism is incompatible with privileged self-knowledge.

David Hume supported and drew upon Malebranche's negative arguments to show that no genuine causal connections could be conceived between distinct mundane entities.

Their results show that 13 %- 32 % of generic functions utilize the dynamic type of a single argument, while 2. 7 %- 6. 5 % of them utilize the dynamic type of multiple arguments.

While arguments attempt to show that something is, will be, or should be the case, explanations try to show why or how something is or will be.

He criticized the format of Crossfire and the style of arguments presented on the show.

However, complex disordered systems such as a spin glass show an even more complicated form of ergodicity breaking where the properties of the thermodynamic equilibrium state seen in practice are much more difficult to predict purely by symmetry arguments.

Such eliminativists have developed different arguments to show that folk psychology is a seriously mistaken theory and needs to be abolished.

Subsequent events, in which Dowding retired from his post at Fighter Command and Leigh-Mallory was promoted to command Keith Park's group, show that Leigh-Mallory's arguments had the sympathies of the senior echelons of the RAF.

The show became famous for some of the arguments that couples had over incorrect answers and even led to some divorces.