Descartes

Meditation No. 1

Beliefs from the senses or induction:

Thus, both of these — all the beliefs we derive from our senses — can be doubted.

Beliefs from reason:

i.e. math, philosophy, etc.

The distinction is that the former is inductive logic while the latter is deductive logic.

These can, however, also be doubted: what if a malicious entity is deceiving us, and changing our perceiption of logic?

Meditation No. 2

Alone the act of thinking proves the existence of the meditators thinking mind.

Thus, the doubts and thoughts of Meditation 1 prove, in Meditation 2, that something must be having these doubts and thinking these thoughts; ergo, the meditator must exist and their mind is that something.

A thing that thinks, that which:

Descartes argues that these things, these thoughts, must be contained by the mind.

What else can we know for certain?

The mind understands: through that understanding (reason, logic, etc.), we can now more things for certain.

The senses can only capture aspects of the world that keep changing; only reason can make senses of what stays the same.

Everything that our senses tell us is pure, uninterpreted information—we need the mind to tell us what something is: the wax stays wax while it is unchanging, melting, and simply a puddle on the floor.

Reason is what allows us to comprehend what something is, what unit or property. That physical things are extended (occupies space, three dimensions-ish, etc.)

THINKING THINGS THINK

aaaand the thinking thing can know itself better than it knows the body.

Meditation No. 5

The essence of matter and the second proof of God’s existence.

Defining God as infinitely perfect: if it were created/born, there would be a time before God, meaning it would not be perfect: therefore, God must have existed always and always exist.

What is extension?

In today’s terms:

Possesing the dimensions of length, breadth, depth, and time.

This is to say that matter is perfectly understandable through mathematics.

Originally he refered to time not as a dimension but rather as being able to assign duration to all components of matter.

Therefore

Flaws

First: Descartes uses circular logic to argue that a perfect being exists, as a perfect being must exist to be perfect, and as he can conceive the being in its perfection it must also exist.

Second: Descartes does, however, assume that perfection, which he cannot fathom, includes God being good; this is obviously a fallacy.