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The first two are basic principles of Cartesian metaphysics as presented in the Meditations.
His mathematical work covered Cartesian geometry and the theory of equations.
The idea of self is thus not the product of a Cartesian intellectual intuition.
Thus, translations and rotations of Cartesian coordinate systems for space still leave us with Cartesian systems.
He is equally critical of the rationalist, Cartesian accounts of humanity, as well as the more empirical and behaviouristic attempts to designate the human condition.
René Descartes was a philosopher whose work, La géométrie, includes his application of algebra to geometry from which we now have Cartesian geometry.
Even the Logical Positivists were, by and large, foundationalists, although some of them came to renounce Cartesian mentalism in favor of a ‘physicalistic basis’.
He used it to destroy modern Cartesian metaphysics, which turns on the distinction between subject and object.
Clear and distinct ideas are the hallmark of Cartesian thought, and Marion turns to the meaning of idea in Descartes.
And generally, often in so-called logical thinking, we depend upon using the analogy of Euclidean or Cartesian argument, to define policy.
This is a very appealing Cartesian intuition: my identity as the thinking thing that I am is revealed to me in consciousness, it is not something beyond the veil of consciousness.
However, the theory of the adequate idea is far more systematic than its Cartesian prototype, and leads to conclusions which Descartes would certainly have rejected.
Many philosophers have since attempted their own refutations of Cartesian skepticism (including Descartes and Putnam himself).
He suddenly takes a U-turn and begins to attack Cartesian epistemology, the very basis of research from which this impressive body of scientific knowledge comes.
Note, of course, that the use of such positional grids are an early form of Cartesian geometry.
These Cartesian speculations conveyed to Descartes' successors at least two issues.
The translation was published in 1697 and Clarke's notes in effect criticized Cartesian physics in favor of Newton's.
It took over a hundred years before Newton's ideas thoroughly supplanted the theory of Cartesian vortices.
One of the major shifts in twentieth-century philosophy has been the rejection of this Cartesian assumption.
Van Schooten was one of the main people to promote the spread of Cartesian geometry.