Analytic geometry

Descartes offers both an a priori and an a posteriori proof of God’s existence. Until Immanuel Kant introduced his epistemology—the notion of a priori synthetic judgments—Descartes’ a priori proof was generally considered purely demonstrative and analytic. However, analyzing Descartes using Kant’s epistemological foundations, reveals that Descartes’ a priori proof was both a priori and synthetic. Specifically, the Cartesian concept of clear and distinct perceptions, neatly mirrors the Kantian…

Abigail Gsell from 1776-1783, and Katharina Gsell from 1734-1773. Leonhard was a Swiss mathematician and physicist, which helped in him being one of the founders in pure mathematics. Euler contributed to analytic geometry and trigonometry. Euler's work also revolutionized the fields of calculus, geometry, and number theory. In Euler’s younger years, his father wanted him to be a clergyman. Which is a male priest, minister, or religious leader.Euler gained…

the domain of geometry, nevertheless cannot so conveniently be applied to these metaphysical matters we are discussing” ( 102). Descartes states as clear as water that is there is a vast difference present between Mathematics and Metaphysics in regards to the synthetic approach. Firstly, Descartes points out that the hostility and obscenity present in the synthetic approach is visible in the first principal of Metaphysics, although the hostility and obscenity in not present in Geometry…

emphasis on geometry in the Greek curriculum. The Greek method of instruction differs from…

Known as the father of modern philosophy and the founder of analytic geometry, Descartes was the first to plot equations on a graph. He made curves a less frightening part of mathematics by developing the x-y plane which was officially deemed the Cartesian Coordinate Plane in his honor. After his death in 1649, Descartes’ 106-page essay titled La géométrie which was the first printed account of what we know now as coordinates or analytic geometry (C.H. Edwards). In many books he wrote, Descartes…

Starting out, George Berkeley begins with having a clear understanding and characterization of common sense. He says that there are two principles by which we characterize “commonsense realism”. George Berkeley says the two principles are, “1. Things exist independently of our perceiving that they do. 2. Things have the qualities they seem to have: The rose we see is really red, the sugar on our tongue is really sweet, and the fire we approach is really hot” (Melchert 382). Previously, Galileo,…

Hello, Hope everyone is having a good week so far. Let me first start with letting you all know I find this disscussion a little harder than the others. After reading the meaning of what the lines are and what they do I hope I am on the right page. The images I will be using in my disscussion I found on the internet. I will also took a picture of a panting for my Dr office that I will post and maybe you all can help me figure out which lines are used in it. I found the expressive line…

Maria Agnesi was a brilliant mathematician and philosopher. She was one of the first women to make many contributions to mathematics. In this essay, I will be discussing her life and contributions to mathematics. Maria Gaetana Agnesi was born on May 16, 1718 in Milan, Italy. She had a very wealthy family, who in turn gave her the best tutors. While at a young age, she had learned 5 different languages. Growing up, Agnesi's father was proud of her wealth, so he would invite over intellectual…

Katherine started attending West Virginia State College now West Virginia State University. Dr. W.W. Schieffelin Claytor was the third African American to earn a PhD degree in mathematics, created a special course specifically for Katherine in analytic geometry. In 1940, she attended…

In order to understand Aquinas’ metaphysics, one must understand the difference between essence and existence. According to Aquinas, there are two senses of ‘being’: one sense is that “those things [are called beings] that are sorted into the ten categories (of Aristotle); in the other sense [calling something a being] signifies the truth of propositions” (Aquinas, I). Then, Aquinas goes on to say that essence is derived from a being in the first sense. Because a being can be divided into ten…