Two sets are said to be equivalent if they have the same number of elements in each set. Two equivalent sets are represented symbolically as A~B. Equal sets are always equivalent, but two equivalent sets are not always equal.
Know MoreIf set A = {1,2,3,4,5} and set B = {a,b,c,d,e}, then n(A) = 5 and n(B) = 5. Hence, n(A) = n(B), or the number of elements in set A is equal to the number of elements in set B. Thus, set A is equivalent to set B, or A~B.
If set A = {1,2,3,4,5} and set B = {5,4,3,2,1}, then both sets have the same number of elements as well as identical elements. Such sets are called equal sets. They also have the same number of elements in different order. Hence, n(A) = n(B) = 5, or A~B.
Learn more about Logic & ReasoningSystems theory is the complex interdisciplinary study of every type of phenomena occurring in this world. It takes into account different properties such as substance and type of phenomena. Systems theory also employs effective mathematical models to better describe the details involved.
Full Answer >A logical list of logical fallacies can be found by entering the request into the search engine of your choice. A list can also be found in various English reference books.
Full Answer >A logical thinker is a person who regularly uses structure and reason to evaluate a situation and come to a decision. A primary distinction between a logical thinker and someone who relies on intuition is that the logical thinker relies on facts and data, whereas the other uses opinions and gut feelings to make decisions.
Full Answer >IQ, or intelligence quotient, is a number determined by a person's performance on a standardized test designed to measure IQ; these tests may include the Stanford-Binet Intelligence Scales, the Wechsler Adult Intelligence Scale or the Wechsler Intelligence Scale for Children. In some cases, different IQ tests can produce different results, and critics of these tests have argued that these tests are biased toward certain races, genders and social classes. In most cases, the IQ is determined by dividing the "mental age" determined by the test with the test-taker's real age, meaning that though intelligence tends to increase as people age, their increasing age will factor into the equation, leading to relatively stable IQ through time.
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