In other words...
In other words, to accept that ‘you’ think or ‘you’ doubt , you would already have needed to accept ‘ you ' exist, which is exactly the original claim.” Therefore, the expression of ‘ I think, therefore I am ' is not the first platform of knowledge. The fallacy of Descartes' so-called single sure fact can be shown by means of prepositional logic utilising the truth-table method. The meaning of Descartes' statement in a logical structure is: Premise 1: All those who think, exist.
Premise 2: I think. Conclusion: I exist. However, the fallacy of Descartes' theorem is shown by, the need to admit to the existence and accuracy of self-evident arguments of formal logic, before admitting his thinking. Axiom (Self-evident knowledge) In order for us to truly answer the question of our existence or any other question about the existing world, we need to know the fundamental source of human knowledge.
With exception of Sophists, most philosophers, whether eastern or western, contemporary or ancient, agree that human knowledge is divided into two categories: Self-evident knowledge Theoretical knowledge Axiom or Self-evident knowledge is the type of knowledge that we accept as true without the need of proof or reasoning.
Examples of axioms are: • “No sentence can be true or false at the same time.” (the principle of contradiction) • “If equals are added to equals, the sums are equal.” • “The whole is greater than any of its parts.” The most certain of human knowledge is mathematics. Pure mathematics begins with axioms from which other theorems are driven. This procedure is necessary to avoid circularity, or an infinite regression in reasoning and as such it is impossible to provide any proof for them.
An Axiom can be defined as ‘self-evident truth' for it does not need any analysis. Rather it is the bottom line and foundation for all types of human analysis and acquired knowledge. All it requires is attention, sound mental health, and lack of fallacy. Theoretical knowledge is a type of knowledge, which requires thinking and reasoning. An example of this would be algebraic equations.
If you would like a better understanding of the types of human knowledge mentioned above, then take the example of your personal computer. In order for you to run your PC for any other application, your PC needs to have an operating system by which the computer can be run.