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Rational expression may refer to: A mathematical expression that may be rewritten to a rational fraction , an algebraic fraction such that both the numerator and the denominator are polynomials. A regular expression , also known as rational expression, used in formal language theory (computer science)
The Life of Reason is sometimes considered to be one of the most poetic and well-written works of philosophy in Western history. [1] To supply but a single example, the oft-quoted aphorism of Santayana's, "Those who cannot remember the past are condemned to repeat it," may be found on p. 284 of Reason in Common Sense.
Reason is the capacity of consciously applying logic by drawing valid conclusions from new or existing information, with the aim of seeking the truth. [1] It is associated with such characteristically human activities as philosophy, religion, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans.
A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x 2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √ x + 4.
According to Jonathan Israel, these laid down two distinct lines of Enlightenment thought: first, the moderate variety, following Descartes, Locke, and Christian Wolff, which sought accommodation between reform and the traditional systems of power and faith, and, second, the Radical Enlightenment, inspired by the philosophy of Spinoza ...
On the practical level, logical reasoning concerns the issue of making rational and effective decisions. [114] [115] For many real-life decisions, various courses of action are available to the agent. For each possible action, there can be conflicting reasons, some in favor of it and others opposed to it.
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 ...
Rationalism has a philosophical history dating from antiquity.The analytical nature of much of philosophical enquiry, the awareness of apparently a priori domains of knowledge such as mathematics, combined with the emphasis of obtaining knowledge through the use of rational faculties (commonly rejecting, for example, direct revelation) have made rationalist themes very prevalent in the history ...