Philosophy of mathematics is the branch of philosophy that deals with the nature of mathematics and its relationship with other human activities. Major...

theory in the philosophy of mathematics that holds that mathematical theories describe structures of mathematical objects. Mathematical objects are exhaustively...

In the philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the...

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order...

art Mathematics education Philosophy of mathematics Relationship between mathematics and physics Science, technology, engineering, and mathematics Here...

contribution to be in the philosophy of mathematics, a topic to which he devoted much of his work between 1929 and 1944. As with his philosophy of language, Wittgenstein's...

Mathematics has no generally accepted definition. Different schools of thought, particularly in philosophy, have put forth radically different definitions...

in proof theory. In Philosophy of mathematics, the concept of "objects" touches on topics of existence, identity, and the nature of reality. In metaphysics...

Introduction to Mathematical Philosophy is a book (1919 first edition) by philosopher Bertrand Russell, in which the author seeks to create an accessible...

philosophy. Analytic philosophy is characterized by a clarity of prose; rigor in arguments; and making use of formal logic and mathematics, and, to a lesser...

Foundations of mathematics is the logical and mathematical framework that allows the development of mathematics without generating self-contradictory...

aesthetics, philosophy of language, philosophy of mind, philosophy of religion, philosophy of science, philosophy of mathematics, philosophy of history,...

In the philosophy of mathematics, Aristotelian realism holds that mathematics studies properties such as symmetry, continuity and order that can be immanently...

contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying...

branch of philosophy) Mathematics Statistics Systems science Data science Information science Computer science Cryptography One reason why mathematics enjoys...

culture of the USSR and satellite states Media related to Formalism (philosophy) at Wikimedia Commons "Formalism in the Philosophy of Mathematics" by the...

constructivist learning theory Constructivism (philosophy of mathematics), a logic for founding mathematics that accepts only objects that can be effectively...

trait of motionlessness as Parmenides' system. In the early twentieth century, the philosophy of mathematics was undertaken to develop mathematics as an...

the Philosophy of Mathematics is a 2012 textbook on the philosophy of mathematics by Mark Colyvan. It has a focus on issues in contemporary philosophy, such...

Society for History and Philosophy of Mathematics (CSHPM) is dedicated to the study of the history and philosophy of mathematics in Canada. It was proposed...

of mathematics Mark Steiner Mathematical universe hypothesis Philosophy of science Quasi-empiricism in mathematics Relationship between mathematics and...

Pure mathematics is the study of mathematical concepts independently of any application outside mathematics. These concepts may originate in real-world...

way of sorting philosophical questions into two different categories in the context of a curriculum. Epistemology Logic Philosophy of mathematics Philosophy...

Philosophy of science is the branch of philosophy concerned with the foundations, methods, and implications of science. Amongst its central questions are...

Mathematical beauty is the aesthetic pleasure derived from the abstractness, purity, simplicity, depth or orderliness of mathematics. Mathematicians may...

in other cultures. The philosophy of mathematics is concerned with the role of language and logic in proofs, and mathematics as a language. The word...

The philosophy of education is the branch of applied philosophy that investigates the nature of education as well as its aims and problems. It also examines...

Marxist philosophy of nature - Materialism - Mathematicism - Mathematics education, philosophy of - Mathematics, philosophy of - Maxim (philosophy) - Medical...

Chaitin, Gregory L., The Limits of Mathematics (1997) 1–28, 89 ff. Ravitch, Harold (1998). "On Gödel's Philosophy of Mathematics". Archived from the original...

Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream...