The French philosopher and mathematician Rene Descartes challenged old ways of thinking about science. Descartes, for whom the Cartesian system of philosophy is named, argued that doubt and reason are both necessary for determining truth, and that the world and everything in it operates according to mechanical principles.

What is being expressed here?

And, in the context of this class, this is his most important thought:

By a method I mean certain and simple rules such that, if a man observe them accurately, he shall never assume what is false is true.

What is being stated here?




The Doubt Matrix of Descartes
Skeptical Hypothesis What Can Be Doubted What Cannot be doubted Faculty Science
The Senses Deceive us at a distance - God the Deceptor - doesn't work - God is always good - therefore need an Evil Genius to properly deceive The size of the sun and stars, the shape of towers and the color of mountains Things observed close at hand, e.g. that I am now seated in a room etc. The senses Astronomy
The Dream Hypothesis - we have no means of conclusively determining - at any moment, whether or not we are dreaming - no way to independently separate out reality from the observer/experiencer That I am seated in this room, that I am clothed, that I have hands, eyes or a body at all Truths of mathematics, eg. 2+2 = 4, squares have four sides etc. The imagination Physiology, physics, medicine etc.
The Evil Genius hypothesis -an arbitrary Evil Genius exists to screw with us 2 + 2 = 4, squares have four sides, etc. That I exist etc. Reason Mathematics, i.e. arithemetic , geometry etc.



Descartes Method of "Reduction":

As a multitude of laws often furnishes excuses for vice, so that a state is much better governed when it has but few, and those few strictly observed, so in place of the great number of precepts of which logic is composed, I believed that I should find the following four sufficient, provided that I made a firm and constant resolve not once to omit to observe them.

The Mechanical/Clockwork Universe of Descartes


Inside the magic box strict rules apply:

If we discover the rules (e.g. Newton), then God has revealed His knowledge to Us. ( Where have we heard this before? )

In addition, Descartes argued for the conservation of motion. At creation, God had injected a certain amount of motion into the universe and this total quantity of motion had been conserved ever since.

Descartes, like Aristotle, also pronounced that a vacuum was impossible: Motion is transmitted from one object to another by contact , and there are no empty spaces between. What seems to us empty space is merely extremely extended, fine matter.

This, then, is the Mechanical Universe God winds up the gears and the Universe works like Clockwork To first order, this is confirmed by Kepler's third law.

As this mechanical philosophy gained support in Descartes' native France, so did moves towards a "more efficient" centralised Government control .

Descartes' was quick to draw a parallel between the role of Ruler and Creator,

Cartesian Dualism

For Descartes the human body and the human mind were discrete entities. The human soul, unlike the mechanical world, was something that could not be broken down

One of the most challenging attacks on this aspect of Descartes' system was that if mind and matter are so radically different, how do they interact? Descartes' reaction to this criticism was that the pineal gland in humans formed a point of interaction between body and soul.

The inadequacy of this explanation was highlighted by the discovery that the pineal gland is also present in dogs, while Descartes had preserved the rational soul for only the human species.

Summary of the Mechanical Philosophy: