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Descartes' rule of signs. In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients ...
The Latin cogito, ergo sum, usually translated into English as " I think, therefore I am ", [a] is the "first principle" of René Descartes 's philosophy. He originally published it in French as je pense, donc je suis in his 1637 Discourse on the Method, so as to reach a wider audience than Latin would have allowed. [1]
Deductive reasoning. Deductive reasoning is the process of drawing valid inferences. An inference is valid if its conclusion follows logically from its premises, meaning that it is impossible for the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and " Socrates is a man" to ...
t. e. Western philosophy refers to the philosophical thought, traditions and works of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the pre-Socratics. The word philosophy itself originated from the Ancient Greek philosophía (φιλοσοφία ...
The term Cartesian linguistics was coined by Noam Chomsky in his book Cartesian Linguistics: A Chapter in the History of Rationalist Thought (1966). The adjective "Cartesian" pertains to René Descartes, a prominent 17th-century philosopher. As well as Descartes, Chomsky surveys other examples of rationalist thought in 17th-century linguistics ...
In mathematics, a variable (from Latin variabilis, "changeable") is a symbol, typically a letter, that holds a place for constants, often numbers. [1][2][3][4][5][6] One say colloqually that the variable represents or denotes the object, and that the object is the value of the variable. Originally, the term "variable" was used primarily for the ...
t. e. René Descartes (/ deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; [note 3][11] 31 March 1596 – 11 February 1650) [12][13]: 58 was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science. Mathematics was paramount ...
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