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  2. Mathematics and the Imagination - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_the...

    In chapter one, "New names for old", they explain why mathematics is the science that uses easy words for hard ideas. They note (p 5) "many amusing ambiguities arise. For instance, the word function probably expresses the most important idea in the whole history of mathematics. Also, the theory of rings is much more recent than the theory of ...

  3. A Mathematician's Lament - Wikipedia

    en.wikipedia.org/wiki/A_Mathematician's_Lament

    A Mathematician's Lament, often referred to informally as Lockhart's Lament, is a short book on mathematics education by Paul Lockhart, originally a research mathematician at Brown University and U.C. Santa Cruz, and subsequently a math teacher at Saint Ann's School in Brooklyn, New York City for many years.

  4. Foundations of mathematics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_mathematics

    Thus Hilbert is insisting that mathematics is not an arbitrary game with arbitrary rules; rather it must agree with how our thinking, and then our speaking and writing, proceeds. [11] We are not speaking here of arbitrariness in any sense. Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules.

  5. 10 Hard Math Problems That Even the Smartest People in the ...

    www.aol.com/10-hard-math-problems-even-150000090...

    To Create His Geometric Artwork, M.C. Escher Had to Learn Math the Hard Way. Fourier Transforms: The Math That Made Color TV Possible. The Game of Trees is a Mad Math Theory That Is Impossible to ...

  6. Where Mathematics Comes From - Wikipedia

    en.wikipedia.org/wiki/Where_Mathematics_Comes_From

    Mathematics makes up that part of the human conceptual system that is special in the following way: It is precise, consistent, stable across time and human communities, symbolizable, calculable, generalizable, universally available, consistent within each of its subject matters, and effective as a general tool for description, explanation, and prediction in a vast number of everyday activities ...

  7. Philosophy of mathematics - Wikipedia

    en.wikipedia.org/wiki/Philosophy_of_mathematics

    Three schools, formalism, intuitionism, and logicism, emerged at this time, partly in response to the increasingly widespread worry that mathematics as it stood, and analysis in particular, did not live up to the standards of certainty and rigor that had been taken for granted. Each school addressed the issues that came to the fore at that time ...

  8. Mathematics addresses only a part of human experience. Much of human experience does not fall under science or mathematics but under the philosophy of value, including ethics, aesthetics, and political philosophy. To assert that the world can be explained via mathematics amounts to an act of faith. 4. Evolution has primed humans to think ...

  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics has a remarkable ability to cross cultural boundaries and time periods. As a human activity, the practice of mathematics has a social side, which includes education, careers, recognition, popularization, and so on. In education, mathematics is a core part of the curriculum and forms an important element of the STEM academic disciplines.