Descartes's Epistemic Doubt Analysis

The outset of the Meditations on First Philosophy presents the reader with three epistemic doubts. Skepticism points at the unreliability of the sources of knowledge. The first doubt regards knowledge that comes from the senses. For instance, consider eyesight; if you put a straw in a glass of water, you will observe as it enters, that the straw appears bent, although you know that it is not. The second concerns the existence of material objects. Dreams looks as veridical as to what we experience in reality and is questionable whether we can rule out that our whole life is but a dream. These doubts raise the question whether we can trust our senses? Senses are subject to change and are therefore empirical. With great conviction about the ability of human reason to achieve knowledge, Descartes proposed a cognitive process no less unsettling than demolishing and rebuilding a
He believed correctly that mathematics is non-empirical and must be thusly innate. Mathematical knowledge provide an emulable model characterized by indubitability. In order to achieve pure knowledge, the epistemological method: rationalism of mathematical model dependence must be followed. It can be concluded that knowledge gained through sensory perception is subject to change, while mathematical knowledge is infallibly certain, indubitable and eternal. Descartes believes that intuition is given by god and thus, should be the basis of knowledge; before other things can be known. This makes mathematics hierarchical; some things can only be known through other things. Given its hierarchical nature, it follows that the first step of the proof is the Axiom which is regarded to be self-evident. For example, the equation 2+2=4, this equation can never be false or change to 1 because it would then not equal to 5. Therefore, the propaedeutic power of mathematics is