He states his thesis by explaining that the act of thinking corporeal things are subject to my will and certain of the contents of our thoughts of them. He also states “they are not my invention, but that their own true and immutable natures.” (Descartes 44) He explains that certain mathematical axioms cannot be invented, for example, the properties of a triangle are not invented, because if it was my inventions I could add or subtract variables at will. Therefore I could change that the sum of the angles of a triangle to be equal to 270 degrees rather than 180 degrees. Once mathematical methods contain certain properties that, for instance, a triangle is 180 degrees, I then clearly unstained that it is clearly not in my power to alter this axiom. Additionally, I could not have put the sum of the angles to equal 180 degrees. Therefore, whether I want this axiom or if I ever thought of it previously or imaged it, they necessarily exist. According to Descartes, this proves beyond any possibility of doubt that the sum of the angles of 180 degrees could not have been invented, but instead it pertains to the nature of a triangle that was not invented by me or in my
He states his thesis by explaining that the act of thinking corporeal things are subject to my will and certain of the contents of our thoughts of them. He also states “they are not my invention, but that their own true and immutable natures.” (Descartes 44) He explains that certain mathematical axioms cannot be invented, for example, the properties of a triangle are not invented, because if it was my inventions I could add or subtract variables at will. Therefore I could change that the sum of the angles of a triangle to be equal to 270 degrees rather than 180 degrees. Once mathematical methods contain certain properties that, for instance, a triangle is 180 degrees, I then clearly unstained that it is clearly not in my power to alter this axiom. Additionally, I could not have put the sum of the angles to equal 180 degrees. Therefore, whether I want this axiom or if I ever thought of it previously or imaged it, they necessarily exist. According to Descartes, this proves beyond any possibility of doubt that the sum of the angles of 180 degrees could not have been invented, but instead it pertains to the nature of a triangle that was not invented by me or in my