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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]
René Descartes (/ d eɪ ˈ k ɑːr t / day-KART, also UK: / ˈ d eɪ k ɑːr t / 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.
René Descartes, in De homine (1662), ... Type ontological reductionism is the idea that every type of item is a sum type of item, and that every perceivable type of ...
Descartes uses the analogy of rebuilding a house from secure foundations, and extends the analogy to the idea of needing a temporary abode while his own house is being rebuilt. Descartes adopts the following "three or four" maxims in order to remain effective in the "real world" while experimenting with his method of radical doubt.
After his rejection of all knowledge, Descartes famously concluded the statement Cogito ergo sum, "I think, therefore I am", then through the use of his wax argument he is able to show how the physical is separate from innate qualities in relation to all things including the mind and body. [5]
Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated (Latin: Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur), often called simply the Meditations, [1] is a philosophical treatise by René Descartes first published in Latin in 1641.
Cartesian doubt is a form of methodological skepticism associated with the writings and methodology of René Descartes (March 31, 1596–February 11, 1650). [1] [2]: 88 Cartesian doubt is also known as Cartesian skepticism, methodic doubt, methodological skepticism, universal doubt, systematic doubt, or hyperbolic doubt.
In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles.