Galileo Galilei Research Paper
In 1623 Galileo Galilei published a book which contained a philosophy about how one should approach the Natural Sciences like physics or astronomy. In that book, he stated that philosophy is written before our eyes, but cannot be apprehended without learning to comprehend the language and know the characters as it is written. Because you've had some sort of modern education, your first reaction might be mathematics is just how you do science, right?
Mathematics has been associated with the scientists for a long time, but Galileo was one of the first to put his foot down and say unequivocally, the principles by which the universe operates are fundamentally mathematical in nature.
Is Mathematics Discovered or Invented?
He was not just claiming that mathematics is a useful tool for figuring out how the universe works, but he was also claiming that the underlying rules that make things work, are inherently mathematical and that the universe itself is basically written in math. So, is mathematics discovered or invented? That might sound like a strange question at first, but it helps to understand why math is so categorically different from everything else that humans use to understand things.
Does Mathematics Has
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For example, the Banach Tarski theorem states that through some set theory juju, you can take a solid sphere divide it into an infinite set of points then disassemble and reassemble those points into two spheres, identical with the original one. That's not just physically impossible. It doesn't seem to provide any useful insight into anything, but weird mathematical constructs. It's what's known as pure math math that's untainted by anything like application or reality . It's not categorically different from any other sort of
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