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Examples include e and π. Trigonometric number: Any number that is the sine or cosine of a rational multiple of π. Quadratic surd: A root of a quadratic equation with rational coefficients. Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number.
[6]: 51–5, 698 His prime example of value-rational action was institutionalised rituals found in all societies: culturally prescribed but eternally legitimate ends. [6]: 467, 675–9, 717 [7] Rational humans pursue socially legitimate value-rational ends by using operationally efficient instrumental means.
Philosopher Robert Nozick accepted the reality of Weber's two kinds of rationality. He believed that conditional means are capable of achieving unconditional ends. He did not search traditional philosophies for value rational propositions about justice, as Rawls had done, because he accepted well-established utilitarian propositions, which Rawls found unacceptable.
List-length effect: A smaller percentage of items are remembered in a longer list, but as the length of the list increases, the absolute number of items remembered increases as well. [163] Memory inhibition: Being shown some items from a list makes it harder to retrieve the other items (e.g., Slamecka, 1968). Misinformation effect
However, this usually ignores the human limitations of the mind. Given these limitations, various discrepancies may be necessary (and in this sense rational) to get the most useful results. [6] [12] [1] For example, the ideal rational norms of decision theory demand that the agent should always choose the option with the highest expected value ...
In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...
Rationalization (or rationalisation) is the replacement of traditions, values, and emotions as motivators for behavior in society with concepts based on rationality and reason. [2] The term rational is seen in the context of people, their expressions, and or their actions.
As discussed in § Constructibility, only certain angles that are rational multiples of radians have trigonometric values that can be expressed with square roots. The angle 1°, being π / 180 = π / ( 2 2 ⋅ 3 2 ⋅ 5 ) {\displaystyle \pi /180=\pi /(2^{2}\cdot 3^{2}\cdot 5)} radians, has a repeated factor of 3 in the denominator and therefore ...