Mathematics
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Philosophy
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Philosophy of science
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Foundations of mathematics
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Philosophers of science
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Philosophy by field
Monism
History of computer science
Argumentation theory
Argumentation
Philosophical realism
Realism (philosophy)
Philosophy of mathematics
The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provi...
Philosophy of mathematics - Wikipedia
Formalism (mathematics)
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Mathematical intuitionism
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Mathematical constructivism
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Mathematical structuralism
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Aristotle's theory of universals
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Philosophy of language
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Pythagoreanism
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Mathematical logic
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Mathematical object
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Mathematics and mysticism
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Mathematics paradoxes
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Philosophy of computer science
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Theories of deduction
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The Unreasonable Effectiveness of Mathematics in the Natural Sciences
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ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
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The Legend of Question Six
Simon Pampena discusses the famous Question 6 from the 1988 International Mathematical Olympiad
Philosophy of mathematics - Wikipedia
The Different Sizes Of Infinite
More mind-bending math from the world of the infinitely big - and infinitesimally small. Featuring Professor Carol Wood from Wesleyan University...
Mathematics, More than Theology, Helps Us Know God
Classical theology begins with the premise that God is infinite, but how can humans possibly have knowledge of God when infinity is, by definition, beyond the bounds of human imagination? First Things...
Flower of Life - Sacred Geometry
The "Flower of Life" can be found in all major religions of the world. It contains the patterns of creation as they emerged from the "Great Void". Everything is made from the Creator's thought.
Pythagoras - Life - video
a short film about the life and achievements of the greek mathematician pythagoras.
Logic - Encyclopedia of Philosophy
Mathematical logic - Math World
Foundations of mathematics - Math World
Foundations of mathematics - Unsolved Problems
Hume's principle - Slideshow
Low birth weight paradox - Slideshow
Formalism (mathematics)
In foundations of mathematics, philosophy of mathematics, and philosophy of logic, formalism is a theory that holds that statements of mathematics and logic can be considered to be statements about th...
Mathematical intuitionism
In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activ...
Mathematical constructivism
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists. When one assumes that an object does not exist and...
Mathematical structuralism
Structuralism is a theory in the philosophy of mathematics that holds that mathematical theories describe structures of mathematical objects. Mathematical objects are exhaustively defined by their pl...
Aristotle's theory of universals
Aristotle's theory of universals is one of the classic solutions to the problem of universals. Universals are types, properties, or relations that are common to their various instances. In Aristotle'...
Philosophy of language
Philosophy of language is concerned with four central problems: the nature of meaning, language use, language cognition, and the relationship between language and reality. For continental philosophers...
Pythagoreanism
Pythagoreanism was the system of esoteric and metaphysical beliefs held by Pythagoras and his followers, the Pythagoreans, who were considerably influenced by mathematics, music and astronomy. Pythago...
Pythagoreanism - Wikipedia
Mathematical logic
Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. Topically, mathematical logic bears close connections to metamathematics, the foundations of...
Mathematical object
A mathematical object is an abstract object arising in philosophy of mathematics and mathematics.Commonly encountered mathematical objects include numbers, permutations, partitions, matrices, sets, fu...
Mathematics and mysticism
Mathematics paradoxes
Philosophy of computer science
The philosophy of computer science is concerned with the philosophical questions that arise with the study of computer science, which is understood to mean not just programming but the whole study of ...
Theories of deduction
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
"The Unreasonable Effectiveness of Mathematics in the Natural Sciences" is the title of an article published in 1960 by the physicist Eugene Wigner. In the paper, Wigner observed that the mathematical...
Fictionalism
Fictionalism is the view in philosophy according to which statements that appear to be descriptions of the world should not be construed as such, but should instead be understood as cases of "make bel...
Infinite set
In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. Some examples are:
The set of natural numbers (whose existence is postulated by th...