Despite these facts, most mathematicians accept the axiom of choice as a valid principle for proving new results in mathematics.

In the East, the principle set forth in the Code of Justinian still applies, whereby most abbots are immediately subject to the local bishop.

The most important of these was the principle that came to be called Ampère ’ s law, which states that the mutual action of two lengths of current-carrying wire is proportional to their lengths and to the intensities of their currents.

: In the Alexander technique lexicon, the principle of " inhibition " is considered by teachers to be the most important to gaining improved " use.

It is quite conventional in principle in past and present computing machines of the most varied types, e. g. desk multipliers, standard IBM counters, more modern relay machines, the ENIAC " ( Goldstine and von Neumann, 1946 ; p. 98 in Bell and Newell 1971 ).

It is also largely accepted in most jurisdictions that this principle can be overridden in the company's constitution.

One of the most common objections to rule-consequentialism is that it is incoherent, because it is based on the consequentialist principle that what we should be concerned with is maximizing the good, but then it tells us not to act to maximize the good, but to follow rules ( even in cases where we know that breaking the rule could produce better results ).

While this might suggest that the Earth is at the center of the Universe, the Copernican principle requires us to interpret it as evidence for the evolution of the Universe with time: this distant light has taken most of the age of the Universe to reach and shows us the Universe when it was young.

The originality of Descartes ' thinking, therefore, is not so much in expressing the cogito — a feat accomplished by other predecessors, as we shall see — but on using the cogito as demonstrating the most fundamental epistemological principle, that science and mathematics are justified by relying on clarity, distinctiveness, and self-evidence.

The most common guitar pickup uses the principle of direct electromagnetic induction.

* 1963 – The European Court of Justice's ruling in Van Gend en Loos v Nederlandse Administratie der Belastingen establishes the principle of direct effect, one of the most important, if not the most important, decisions in the development of European Union law.

Second, Robinson appeals to the critical principle, widely applied in textual study, that the account is most likely to be original that best explains the other variants.

Mechanically powered hammers often look quite different from the hand tools, but nevertheless most of them work on the same principle.

The most rigorous realization of the holographic principle is the AdS / CFT correspondence by Juan Maldacena.

During the gradual process by which Homo erectus made a transition from furry to naked skin, their hair texture putatively changed gradually from Afro-textured hair or ' kinky ' ( i. e. tightly coiled ) to straight hair ( the condition of most mammals, including humanity's closest cousins — chimpanzees ) This argument is based on the principle that curly hair impedes the passage of UV light into the body relative to straight hair ( thus curly or coiled hair would be particularly advantageous for dark-skinned hominids living at the equator ).

A second class of internal combustion engines use continuous combustion: gas turbines, jet engines and most rocket engines, each of which are internal combustion engines on the same principle as previously described.

" And then they went to work and elaborated this one principle all through, and it is a most wonderful ideal: how all that we call ethics they simply bring out from that one great principle of non-injury and doing good.

Wycliffe's fundamental principle of the preexistence in thought of all reality involves the most serious obstacle to freedom of the will ; the philosopher could assist himself only by the formula that the free will of man was something predetermined of God.

A key principle of Krav Maga is finishing a fight as quickly as possible and therefore all attacks are aimed towards the most vulnerable parts of the body ( e. g., face, neck, groin, knee, eyes, joints ).

This uncompromising principle, along with their reputation for courage, excellent training, and heavy armament, made the Templars one of the most feared combat forces in medieval times.

" The KISS principle states that most systems work best if they are kept simple rather than made complex, therefore simplicity should be a key goal in design and unnecessary complexity should be avoided.

Combining the likelihood principle with the law of likelihood yields the consequence that the parameter value which maximizes the likelihood function is the value which is most strongly supported by the evidence.

This argument also assumes the mediocrity principle, which states that Earth is not special, but merely a typical planet, subject to the same laws, effects, and likely outcomes as any other world.

Popper argued that the central property of science is falsifiability ( i. e. all scientific claims can be proven false, at least in principle, and if no such proof can be found despite sufficient effort then the claim is likely true ).

Biosafety in agriculture, chemistry, medicine, exobiology and beyond will likely require application of the precautionary principle, and a new definition focused on the biological nature of the threatened organism rather than the nature of the threat.

The practice is based on the principle that the more independent transmission histories are, the less likely they will be to reproduce the same errors.

Applying this principle leads to taking the more difficult ( unharmonized ) reading as being more likely to be the original.

* Conservatism principle: when choosing between two solutions, the one that will be least likely to overstate assets and income should be picked ( see convention of conservatism ).

The question of whether or not the Taoiseach has lost the confidence of the Dáil could be a discretionary matter for the President to decide-in principle, the President could refuse to dissolve the Dáil on the advice of a Taoiseach who has not yet been defeated in a vote of no-confidence, but who appears likely to be defeated were such a vote to be held.

McGee offers the example of Richard Nixon ’ s attempt to defend his decision not to turn over documents to Congress during the Watergate investigation by invoking “ the principle of confidentiality .” Recognizing that his refusal to submit to Congress could be seen as a violation of the “ rule of law ,” Nixon pitted “ the principle of confidentiality ” against the “ rule of law ,” despite the fact that these two ideographs would, in the abstract, not likely be seen as in conflict with one another ..

Eric Halfpenny, writing in the 1988 Encyclopædia Britannica, says " bowing can be traced as far back as the Islamic civilization of the 10th century ... it seems likely that the principle of bowing originated among the nomadic horse riding cultures of Central Asia, whence it spread quickly through Islam and the East, so that by 1000 it had almost simultaneously reached China, Java, North Africa, the Near East and Balkans, and Europe.

To explain further, the encoding specificity principle means that a person is more likely to recall information if the recall cues match or are similar to the encoding cues.

Where different manuscripts conflict on a particular word, the principle suggests that the more unusual one is more likely the original.

But the reverse is not surprising, since people might easily consider the unusual name Carington a mistake and falsely " correct " it, and the principle lectio difficilior potior suggests that the unusual spelling Carington is less likely to be adopted and transmitted.

The principle of operation ( microwelding ) suggested above for the filings coherer may be less likely to apply to this type because there is no need for decohering.

In visual perception research, the simplicity principle contrasts with the Helmholtzian likelihood principle, which assumes that the preferred interpretation of a stimulus is the one most likely to be true in this world.

The FN FAL and its ancestor FN-49 employ the same locking mechanism and operating principle as the SVT, although as mentioned above, this is most likely coincidental.

Based on field observations, Joseph Grinnell formulated the principle of competitive exclusion in 1904: " Two species of approximately the same food habits are not likely to remain long evenly balanced in numbers in the same region.

The student may have multiple options for extending the repayment period, although an extension of the loan term will likely reduce the monthly payment, it will also increase the amount of total interest paid on the principle balance during the life of the loan.

" He expected, however, that individuals would come to the realization that the " occupancy and use " was a " generally trustworthy guiding principle of action ," and that individuals would likely contract to an occupancy and use policy.

This issue is the same in principle with ELCBs and RCDs, but ELCBs are on average much older and specs have improved considerably over the years, so an old ELCB is more likely to have some uncommon fault current waveform that it will not respond to.

* The basic principle of the Guild is the richer you are, the more likely you are to be innocent.

Denoting by N the total number of humans who were ever or will ever be born, the Copernican principle suggests that humans are equally likely ( along with the other N − 1 humans ) to find themselves at any position n, so humans assume that our fractional position f = n / N is uniformly distributed on the interval < nowiki ></ nowiki > prior to learning our absolute position.