-
referred to as
mathematicism.
Although we do not have
writings of
Pythagoras himself, good
evidence that he
pioneered the
concept of
mathematicism is given...
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Mathematics is a
field of
study that
discovers and
organizes methods,
theories and
theorems that are
developed and
proved for the
needs of
empirical sciences...
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Applied mathematics is the
application of
mathematical methods by
different fields such as physics, engineering, medicine, biology, finance, business,...
- In
mathematics, a
group is a set with an
operation that
satisfies the
following constraints: the
operation is ****ociative, it has an
identity element...
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proposes the
existence of
mathematical entities; a form of
mathematicism in that it
denies that
anything exists except mathematical objects; and a formal...
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theory "everything is
mathematics" (
mathematicism), Plato, who
paraphrased Pythagoras, and
studied the
ontological status of
mathematical objects, and Aristotle...
- In
mathematics, a set is a
collection of
different things;
these things are
called elements or
members of the set and are
typically mathematical objects...
- The
history of
mathematics deals with the
origin of
discoveries in
mathematics and the
mathematical methods and
notation of the past.
Before the modern...
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Analysis is the
branch of
mathematics dealing with
continuous functions, limits, and
related theories, such as differentiation, integration, measure,...
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Mathematical logic is the
study of
formal logic within mathematics.
Major subareas include model theory,
proof theory, set theory, and
recursion theory...