The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand...

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

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...

mathematics and philosophy of mathematics turns out to be vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts...

of mathematics topics Mathematical constant Mathematical sciences Mathematics and art Mathematics education Outline of mathematics Philosophy of mathematics...

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

branches of philosophy and logic, notably philosophy of language, philosophy of mathematics, philosophy of science, modern predicate logic and mathematical logic...

schools of thought, particularly in philosophy, have put forth radically different definitions, all of which are controversial. Language of mathematics is...

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

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

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

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

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

needed] Logic (also a branch of philosophy) Mathematics Computer science Systems science Statistics One reason why mathematics enjoys special esteem, above...

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...

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

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...

 125) Mohammad Saleh, "Arabic and Islamic Philosophy of Mathematics", The Stanford Encyclopedia of Philosophy (Summer 2022 Edition), Edward N. Zalta (ed...

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

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...

biology, mathematics, and logic is more controversial. The debate on linguistic conventionalism goes back to Plato's Cratylus and the philosophy of Kumārila...

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

Maxim (philosophy) - Mahayana Buddhism- Mathematics, philosophy of - Mathematics education, philosophy of - Medical ethics - Medieval philosophy - Medievalism...

In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely...

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...

Philosophy of logic is the area of philosophy that studies the scope and nature of logic. It investigates the philosophical problems raised by logic, such...

This is a list of some of the major problems in philosophy. A counterfactual statement is a conditional statement with a false antecedent. For example...

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

2000. Thinking about mathematics: The philosophy of mathematics. Oxford University Press. Stanford Encyclopedia of Philosophy: "Abstract Objects"—by...