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…

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…

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…

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…

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…

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…

the enlightenment. Isaac Newton developed and contributed in huge ways that play a very big factor in the Enlightenment and in the way we comprehend the world today. Sir Isaac Is responsible for the creation of calculus which is a big brand of mathematics, this is still largely used in the world today. Also his most famous contributions were his theories of universal gravitation his his three laws of motion. The theories are widely accepted and his laws of motion are some of the most…

As identified by Anghileri (2006) the way mathematics has been taught to children over the years has changed to better prepare them for the future. In the past, as stated by Charlesworth et at.(2013) mathematics has focused on memorisation and drills in an isolated environment, often creating a negative stigma towards the subject. At present the current focus on teaching mathematics concentrates on acknowledging that learning is acquired by students constructing on previous experiences as they…