Philosophy of mathematics

finds a place after analysis in 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…

Introduction Daniel I Bernoulli stated that “there is no philosophy which is not found upon knowledge of the phenomena, but to get any profit from this knowledge it is absolutely necessary to be a mathematician”(BrainyQuote). Daniel, a second generation mathematician, learned this valuable lesson, as his father and uncle had before him; mathematics is vital when interpreting the world. While Daniel was succeeded by a laundry list of mathematicians and physics, it is he and the men which preceded…

Marie-Sophie Germain Although she is not well known, Marie-Sophie Germain contributed much to the fields of mathematics, philosophy, and physics and proved to be an exceptional physicist, mathematician, and philosopher throughout her lifetime. Overcoming all obstacles thrown her way, Germain fought relentlessly for her education and proved to not only her parents, but the whole mathematic and scientific community that women could be successful. From the start of her life, Germain was blessed…

Boltzmann, Godel, and Turing for their groundbreaking contributions to mathematics, but also for the mental anguish and personal tragedy in their lives. How big is infinity? What is thermodynamics? These seemingly simple questions are what drove four brilliant mathematicians to insanity and ultimately suicide. “Dangerous Knowledge” delves into the deeper side of mathematics by trying to understand nature through mathematics, philosophy, physics, and logic. Each of them over obsessed with…

He left his treasure for future generations with his crazy family background. Thanks to his father, Jakab, this astonishing mathematician made a mark in the mathematics world. It is beyond belief how even though his mind was not set of becoming a famous mathematician he became one. It is important to remember to never give up on anything, like George Polya he continued to look for what he loved to do until he found…

beliefs is essential within the bounds of our respective fields as we often fail to recognize the underlying philosophical natures in the disciplines to which we devote the most time. Therefore, I have sought to develop my own Christian philosophy of mathematics by defining math, analyzing what can be learned about God from math, and discussing why there is no fundamental issue behind Christians using secular math textbooks. Math is much more…

the ride. No matter where I go, I understand that algebra is needed to accomplish my degree program. All I can do is accept the fact and execute my goals. When I hear the phrase “liberal arts,” I automatically think about literature, philosophy, and even mathematics. Liberal arts are like the whole overview of arts to…

to her with loyalty. Her philosophies were considered Neoplatonist. People considered her a pagan. Being a pagan means having beliefs that most of the world does not have. Hypatia was considered a pagan due to the conflict between Jews (both types), Christians, and pagans. Hypatia…

children and his mother dying at a young age.. Rene was very well educated and advanced for his age and at age 8 he sent to Jesuit boarding school to better his education. While there, one of his many teachers influenced him on a course to apply mathematics…

The Value of Practice in Mathematics and Natural Sciences With respect to two areas of knowledge, consider the claim “Without application in the world, the value of knowledge is greatly diminished." Knowledge is a treasure; without it, we would not be where we are. The only reason why the human race has lasted so long is because of the application of knowledge. What is knowledge? Knowledge is the accumulation of ideas and concepts in someone’s mind. Knowledge can be taught or can come from…