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choice and does
The problem arises, if it does arise, when the educator has to make a choice or a decision within the area of his professional competence, but which bears some relation to the social structure.
Also, it does not recognize the elements of choice and judgment continually employed.
The statement of the axiom of choice does not specify whether the collection of nonempty sets is finite or infinite, and thus implies that every finite collection of nonempty sets has a choice function.
In constructive set theory, however, Diaconescu's theorem shows that the axiom of choice implies the law of the excluded middle ( unlike in Martin-Löf type theory, where it does not ).
A cause for this difference is that the axiom of choice in type theory does not have the extensionality properties that the axiom of choice in constructive set theory does.
As such, open theists resolve the issue of human free will and God's sovereignty by claiming that God is sovereign because he does not ordain each human choice, but rather works in cooperation with his creation to bring about his will.
The power of choice under this definition has the potential for as much harm as it does good, and open theists see free will as the best answer to the problem of evil.
A pitcher is only charged with the number of runners that reached base while he was pitching, and this does not include baserunners who reach base as the result of a fielder's choice play that removes an existing runner ; such a runner is charged to the pitcher whose baserunner has been removed by the fielder's choice play.
The choice of isotope ordinarily has little effect on the electrical properties of a material, but does affect the frequency of lattice vibrations, this effect suggested that superconductivity be related to vibrations of the lattice.
For these reasons, rasterization is usually the approach of choice when interactive rendering is required ; however, the pixel-by-pixel approach can often produce higher-quality images and is more versatile because it does not depend on as many assumptions about the image as rasterization.
The product of two homotopy classes of loops and is then defined as, and it can be shown that this product does not depend on the choice of representatives.
Kelly's athleticism gave his moves a distinctive broad, muscular quality, and this was a very deliberate choice on his part, as he explained: " There's a strong link between sports and dancing, and my own dancing springs from my early days as an athlete ... I think dancing is a man's game and if he does it well he does it better than a woman.
This is very expensive, and is being replaced by IP-based conferencing, but where cost concern is less of an issue than predictable quality and where a QoS-enabled IP does not exist, BRI is the preferred choice.
However, in certain axiom systems for constructive set theory, the axiom of choice does imply the law of the excluded middle ( in the presence of other axioms ), as shown by the Diaconescu-Goodman-Myhill theorem.
In Conservative and Reform Judaism, and some movements within Protestant Christianity, including process theology and open theism, deities are said to act in the world through persuasion, and not by coercion ( for open theism, this is a matter of choicea deity could act miraculously, and perhaps on occasion does so — while for process theism it is a matter of necessity — creatures have inherent powers that a deity cannot, even in principle, override ).
There are criticisms that the development does not sit easily with or connect with its surroundings, and as a result Berliners have had difficulty accepting it as theirs ( despite the fact that the choice of Hilmer & Sattler's masterplan was partly because it was the only one to address the way the development juxtaposed with the Cultural Forum immediately to the west, although the Cultural Forum has itself faced similar criticisms of its own ).
This choice is arbitrary, as axiom 1 does not endow the constant 0 with any additional properties.
In general, rational choice theory does not address the role of an individual's sense of morals or ethics in decision-making.

choice and affect
The Intermediates in the Class with the Judge were asked to pick 4 winners and give their reasons but their decisions did not affect the choice of the Judge.
Philip Zimbardo discusses mind control as " the process by which individual or collective freedom of choice and action is compromised by agents or agencies that modify or distort perception, motivation, affect, cognition and / or behavioral outcomes ", and he suggests that any human being is susceptible to such manipulation.
While working there she gained her interest in Asia that would later affect her choice of fieldwork as a working anthropologist.
The choice of a coordinate system doesn't affect the properties of a vector or its behaviour under transformations.
A rapidly-growing mainstream literature from the 1970s has expanded beyond the model of economic policy in which planners maximize utility of a representative individual toward examining how political forces affect the choice of policies, especially as to distributional conflicts and political institutions.
A more classical-liberal approach that dates from the 1970s that denotes ' public-choice ' theory type approaches which question the benevolence of social planners to maximize the utility of a representative individual and instead stress how political forces affect the choice of policies that may not be so benevolent.
It appears that the choice between a Long-Leaper and a Single-Leaper tends to affect game play by encouraging " hunkering down " and overdefending pieces, and allowing pieces to spread across the board more, with less attention to bulky blockades.
The choice of instruments, registers, and dynamics affect the overall tone color.
In addition to the choice of herbs and seasoning, the timing of when flavours are added will affect the food that is being cooked.
As this is an effective description of the system, it is a matter of choice as to what to define the experimental system to include and this will affect when " collapse " occurs.
Using their reasoning, he said, a choice of measurement setting here should not affect the outcome of a measurement there ( and vice versa ).
The choice and conditions of use of cryptographic mechanisms may affect card exportability.
The choice of EABI can affect performance.
Rotifers affect the species composition of algae in ecosystems through their choice in grazing.
A network administrator can reduce the cost of a spanning tree, if necessary, by altering some of the configuration parameters in such a way as to affect the choice of the root of the spanning tree.
Sunk costs should not affect the rational decision-maker's best choice.
As mentioned above, choice of individual assembler instructions ( or even sometimes just their order of execution ) on particular machines can affect the efficiency of an algorithm.
Over a two-week treatment of healthy volunteers, sertraline slightly improved verbal fluency but did not affect word learning, short-term memory, vigilance, flicker fusion time, choice reaction time, memory span, or psychomotor coordination.
The choice of deck does not affect the rules.
The choice of transition may affect the amount of inter-cache traffic, which in turn may affect the amount of cache bandwidth available for actual work.
While this may affect the choice of an antenna, an antenna's impedance can also be adapted to the desired impedance level of a system using an matching network while maintaining the other characteristics ( except for a possible loss of efficiency ).
Over concern about side-effects, for example weight gain and acne, often affect choice.

choice and their
With the resumption of Soviet testing and their intransigence at the Geneva talks, however, the hope that this third choice would prove viable has been shaken.
When negotiating with your union, do you make sure employees have a choice between new benefits and their cents-per-hour cost in wages.
But at Yalta the conflicting expectations of East and West were merged into an agreement by the Big Three to assist all liberated countries in Europe `` to create democratic institutions of their own choice ''.
Initiation into combat sometimes elicited from soldier correspondents choice comments about their experiences and reactions.
Promoters always hastened to place their choice tickets in the hands of the wealthy speculators, and only the man who knew the man who knew the fellow who had an in with the guy at the box office ever came up with a good seat for a contest of any importance.
An exception to this could include a politician whose " weasel words " and obfuscation are necessary to gain support from multiple constituents with mutually exclusive conflicting desires from their candidate of choice.
Johnston, who had little choice in allowing Floyd and Pillow to take charge at Fort Donelson on the basis of seniority after he ordered them to add their forces to the garrison, took the blame and suffered calls for his removal because a full explanation to the press and public would have exposed the weakness of the Confederate position.
One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.
Similarly, all the statements listed below which require choice or some weaker version thereof for their proof are unprovable in ZF, but since each is provable in ZF plus the axiom of choice, there are models of ZF in which each statement is true.
There are several results in category theory which invoke the axiom of choice for their proof.
The choice of the Navarrese lords fell on García Ramírez, Lord of Monzón, descendant of an illegitimate son of García Sánchez III and protégé of Alfonso VII to be their king.
# Bank doesn't have enough shares to allow everyone to trade in their shares-first choice falls to person causing the merger, followed by other players in order around the table in the order of play.
As Steve Wozniak, the creator of Integer BASIC and the only person who understood it well enough to add floating point features, was busy with the Disk II drive and controller and with Apple DOS, Apple turned to Microsoft, who was the BASIC vendor of choice after their success with Altair BASIC, and licensed a 10 KB assembly language version of BASIC dubbed " Applesoft.
's choice of the Artistic License 2. 0 for videos from one of their albums.
Abd al-Rahman's alleged favorite son was his choice for successor, and would later be known as Hisham I. Abd ar-Rahman's progeny would continue to rule al-Andalus in the name of the house of Umayya for several generations, with the zenith of their power coming during the reign of Abd al-Rahman III.
Alternatively, a coin may be tossed, with the winners choosing whether to serve or receive first, or choosing which end of the court to occupy, and their opponents making the leftover the remaining choice.
Number-cards count as their natural value ; the jack, queen, and king ( also known as " face cards " or " pictures ") count as 10 ; aces are valued as either 1 or 11 according to the player's choice.
She, a woman, was resolved to win or die ; if the men wanted to live in slavery, that was their choice.
Continuing Arab disquiet over Allied intentions also led during 1918 to the British Declaration to the Seven and the Anglo-French Declaration, the latter promising " the complete and final liberation of the peoples who have for so long been oppressed by the Turks, and the setting up of national governments and administrations deriving their authority from the free exercise of the initiative and choice of the indigenous populations.
However, if none of the larger parties can receive enough votes to form their preferred coalition, a grand coalition might be their only choice for forming a government.

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