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- There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics).en.wikipedia.org/wiki/Mathematics
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Foundations of mathematics - Wikipedia
Foundations of mathematics are the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc. This may also include the philosophical study of the relation … See more
During Middle Ages, Euclid's Elements stood as a perfectly solid foundation for mathematics, and philosophy of mathematics concentrated on the ontological status of mathematical concepts; the question was whether they exist independently … See more
300 BCEuclid's Elements was published1821Cauchy started the project of giving rigorous bases to infinitesimal calculus1872Two independent complete definitions of real numbers were published1931Gödel's incompleteness theorems were published1963Paul Cohen showed that the Continuum Hypothesis is unprovable from ZFCIsaac Newton (1642–1727) in England and Leibniz (1646–1716) in Germany independently developed the infinitesimal calculus for dealing with mobile points (such as planets in … See more
In the 19th century, mathematics developed quickly in many directions. Several of the problems that were considered led to … See more
Wikipedia text under CC-BY-SA license Principia Mathematica - Wikipedia
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Foundations of mathematics | History & Facts | Britannica
Mathematics - Wikipedia
There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of …
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Foundations of mathematics - Category Theory, Axioms, Logic
Philosophy of mathematics - Wikipedia
Surprising and counter-intuitive developments in formal logic and set theory early in the 20th century led to new questions concerning what was traditionally called the foundations of mathematics.
Foundations of mathematics - Quest, Rigour, Logic | Britannica
Foundations of mathematics - Formalism, Axioms, Logic | Britannica
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History of mathematics - Wikipedia
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Foundations of mathematics - Wikipedia, the free encyclopedia
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