Seven Into Even

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In a one-dimensional absolute-judgment task, a person is presented with a number of stimuli that vary on one dimension e. Performance is nearly perfect up to five or six different stimuli but declines as the number of different stimuli is increased. The task can be described as one of information transmission: The input consists of one out of n possible stimuli, and the output consists of one out of n responses. The information contained in the input can be determined by the number of binary decisions that need to be made to arrive at the selected stimulus, and the same holds for the response.

Therefore, people's maximum performance on one-dimensional absolute judgement can be characterized as an information channel capacity with approximately 2 to 3 bits of information , which corresponds to the ability to distinguish between four and eight alternatives. The second cognitive limitation Miller discusses is memory span. Memory span refers to the longest list of items e.

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Miller observed that memory span of young adults is approximately seven items. He noticed that memory span is approximately the same for stimuli with vastly different amount of information—for instance, binary digits have 1 bit each; decimal digits have 3. Miller concluded that memory span is not limited in terms of bits but rather in terms of chunks.

A chunk is the largest meaningful unit in the presented material that the person recognizes—thus, what counts as a chunk depends on the knowledge of the person being tested. For instance, a word is a single chunk for a speaker of the language but is many chunks for someone who is totally unfamiliar with the language and sees the word as a collection of phonetic segments. Miller recognized that the correspondence between the limits of one-dimensional absolute judgment and of short-term memory span was only a coincidence, because only the first limit, not the second, can be characterized in information-theoretic terms i.

Therefore, there is nothing "magical" about the number seven, and Miller used the expression only rhetorically. Nevertheless, the idea of a "magical number 7" inspired much theorizing, rigorous and less rigorous, about the capacity limits of human cognition. The number seven constitutes a useful heuristic, reminding us that lists that are much longer than that become significantly harder to remember and process simultaneously.

Later research on short-term memory and working memory revealed that memory span is not a constant even when measured in a number of chunks. The number of chunks a human can recall immediately after presentation depends on the category of chunks used e. Chunking is used by the brain's short-term memory as a method for keeping groups of information accessible for easy recall.

It functions and works best as labels that one is already familiar with—the incorporation of new information into a label that is already well rehearsed into one's long-term memory. These chunks must store the information in such a way that they can be disassembled into the necessary data. For instance, span is lower for long words than it is for short words. In general, memory span for verbal contents digits, letters, words, etc. Some researchers have therefore proposed that the limited capacity of short-term memory for verbal material is not a "magic number" but rather a "magic spell".

For instance, span depends on the lexical status of the contents i. Nonetheless, Cowan has proposed that working memory has a capacity of about four chunks in young adults and less in children and older adults. Tarnow finds that in a classic experiment typically argued as supporting a 4 item buffer by Murdock, there is in fact no evidence for such and thus the "magical number", at least in the Murdock experiment, is 1.

Cowan also noted a number of other limits of cognition that point to a "magical number four", [13] and different from Miller, he argued that this correspondence is no coincidence. One other process that seems to be limited at about four elements is subitizing , the rapid enumeration of small numbers of objects.

When a number of objects are flashed briefly, their number can be determined very quickly, at a glance, when the number does not exceed the subitizing limit, which is about four objects.


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Larger numbers of objects must be counted, which is a slower process. The film Rain Man portrayed an autistic savant , who was able to rapidly determine the number of toothpicks from an entire box spilled on the floor, apparently subitizing a much larger number than four objects. Therefore, one might suppose that this limit is an arbitrary limit imposed by our cognition rather than necessarily being a physical limit.


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  6. Job He shall deliver thee in six troubles: yea, in seven there shall no evil touch thee. Micah And this man shall be the peace, when the Assyrian shall come into our land: and when he shall tread in our palaces, then shall we raise against him seven shepherds, and eight principal men.

    Report on "The Cambridge Seven"

    Daniel Wherefore, O king, let my counsel be acceptable unto thee, and break off thy sins by righteousness, and thine iniquities by shewing mercy to the poor; if it may be a lengthening of thy tranquillity. Acts And there stood up one of them named Agabus, and signified by the spirit that there should be great dearth throughout all the world: which came to pass in the days of Claudius Caesar…. Galatians Brethren, if a man be overtaken in a fault, ye which are spiritual, restore such an one in the spirit of meekness; considering thyself, lest thou also be tempted.

    New International Version Invest in seven ventures, yes, in eight; you do not know what disaster may come upon the land. New Living Translation But divide your investments among many places, for you do not know what risks might lie ahead. English Standard Version Give a portion to seven, or even to eight, for you know not what disaster may happen on earth. Berean Study Bible Divide your portion among seven, or even eight, for you do not know what disaster may befall the land. New American Standard Bible Divide your portion to seven, or even to eight, for you do not know what misfortune may occur on the earth.

    1) Exhaustive testing is not possible

    King James Bible Give a portion to seven, and also to eight; for thou knowest not what evil shall be upon the earth. Christian Standard Bible Give a portion to seven or even to eight, for you don't know what disaster may happen on earth. Contemporary English Version Share what you have with seven or eight others, because you never know when disaster may strike. Good News Translation Put your investments in several places--many places even--because you never know what kind of bad luck you are going to have in this world. Holman Christian Standard Bible Give a portion to seven or even to eight, for you don't know what disaster may happen on earth.

    International Standard Version Apportion what you have into seven, or even eight parts, because you don't know what disaster might befall the land. NET Bible Divide your merchandise among seven or even eight investments, for you do not know what calamity may happen on earth.


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    New Heart English Bible Give a portion to seven, yes, even to eight; for you do not know what evil will be on the earth. JPS Tanakh Divide a portion into seven, yea, even into eight; For thou knowest not what evil shall be upon the earth. New American Standard Divide your portion to seven, or even to eight, for you do not know what misfortune may occur on the earth.

    Jubilee Bible Give a portion to seven and even to eight, for thou dost not know what evil shall come upon the earth. King James Bible Give a portion to seven, and also to eight; for you know not what evil shall be upon the earth. American King James Version Give a portion to seven, and also to eight; for you know not what evil shall be on the earth.

    American Standard Version Give a portion to seven, yea, even unto eight; for thou knowest not what evil shall be upon the earth.