Search for "Philosophy of mathematics" in article titles:

1. Philosophy of mathematics: The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. (none) [100%] 2023-09-24 [Philosophy of mathematics]
2. Philosophy of mathematics: This is intended to become the script for a course on the Philosophy of Mathematics. It may then serve as basis for books and other materials as well as discussions and research. [100%] 2023-12-20
3. Philosophy of mathematics: The philosophy of mathematics is the branch of philosophy which deals with the philosophical foundations of mathematics. Some of the major viewpoints include: Constructivism, finitism and ultrafinitism generally entail a rejection of much of classical mathematics; so, they tend not ... [100%] 2023-12-17 [Philosophy] [Mathematics]...
4. Philosophy of mathematics: The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. (none) [100%] 2023-09-04 [Philosophy of mathematics]
5. Philosophy of mathematics: Philosophy of mathematics is the branch of philosophy which deals with the philosophical foundations of mathematics. Some of the major viewpoints include: Constructivism, finitism and ultrafinitism generally entail a rejection of much of classical mathematics; so, they tend not to ... [100%] 2023-02-10 [Philosophy] [Mathematics]...
6. Philosophy of Mathematics: Philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. Recurrent themes include: The terms philosophy of mathematics and mathematical philosophy are frequently used as synonyms. The latter, however, may be used ... [100%] 2023-02-04
7. Philosophy of Mathematics: Philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. Recurrent themes include: The terms philosophy of mathematics and mathematical philosophy are frequently used as synonyms. The latter, however, may be used ... [100%] 2023-02-04
8. Philosophy of Mathematics: If mathematics is regarded as a science, then the philosophy of mathematics can be regarded as a branch of the philosophy of science, next to disciplines such as the philosophy of physics and the philosophy of biology. However, because of ... (Philosophy) [100%] 2021-12-29
9. Structuralism (philosophy of mathematics): 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 place in such structures. (Philosophy of mathematics) [86%] 2023-12-01 [Structuralism (philosophy of mathematics)] [History of mathematics]...
10. Kant’s Philosophy of Mathematics: Kant was a student and a teacher of mathematics throughout his career, and his reflections on mathematics and mathematical practice had a profound impact on his philosophical thought (Martin 1985; Moretto 2015). (Philosophy) [86%] 2021-12-24
11. Constructivism (philosophy of mathematics): In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists. Contrastingly, in classical mathematics, one can prove the existence of ... (Philosophy) [86%] 2023-11-28 [Epistemology] [Constructivism (mathematics)]...
12. Wittgenstein’s Philosophy of Mathematics: Ludwig Wittgenstein’s Philosophy of Mathematics is undoubtedly the most unknown and under-appreciated part of his philosophical opus. Indeed, more than half of Wittgenstein’s writings from 1929 through 1944 are devoted to mathematics, a fact that Wittgenstein himself ... (Philosophy) [86%] 2022-02-22
13. Formalism (philosophy of mathematics): 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 consequences of the manipulation of strings (alphanumeric sequences of symbols, usually as equations) using established ... (Philosophy) [86%] 2023-11-16 [Formalism (deductive)] [Philosophy of mathematics]...
14. Structuralism (philosophy of mathematics): 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 place in such structures. (none) [86%] 2024-02-18 [History of mathematics] [Mathematical logic]...
15. Aristotelian realist philosophy of mathematics: In the philosophy of mathematics, Aristotelian realism holds that mathematics studies properties such as symmetry, continuity and order that can be immanently realized in the physical world (or in any other world there might be). It contrasts with Platonism in ... (Philosophy) [77%] 2023-11-22 [Philosophy of mathematics] [Aristotelianism]...
16. Arabic and Islamic Philosophy of Mathematics: Philosophy of pure mathematics deals with two major groups of questions. One pertains to the ontology of mathematical entities and the other to the epistemology of mathematical concepts and judgments (Avigad 2007). (Philosophy) [70%] 2022-05-23
17. Fictionalism in the Philosophy of Mathematics: Mathematical fictionalism (hereafter, simply fictionalism) is best thought of as a reaction to mathematical platonism. Platonism is the view that (a) there exist abstract mathematical objects (i.e., nonspatiotemporal mathematical objects), and (b) our mathematical sentences and theories provide true ... (Philosophy) [70%] 2021-12-24
18. Structuralism in the Philosophy of Mathematics: Two related slogans for structuralism in the philosophy of mathematics are that “mathematics is the general study of structures” and that, in pursuing such study, we can “abstract away from the nature of objects instantiating those structures”. (As such, structuralism ... (Philosophy) [70%] 2021-12-24
19. Naturalism in the Philosophy of Mathematics: Contemporary philosophy's three main naturalisms are methodological, ontological and epistemological. Methodological naturalism states that the only authoritative standards are those of science. (Philosophy) [70%] 2022-01-27
20. Platonism in the Philosophy of Mathematics: Platonism about mathematics (or mathematical platonism) is the metaphysical view that there are abstract mathematical objects whose existence is independent of us and our language, thought, and practices. Just as electrons and planets exist independently of us, so do numbers ... (Philosophy) [70%] 2022-02-24
21. Nominalism in the Philosophy of Mathematics: Nominalism about mathematics (or mathematical nominalism) is the view according to which either mathematical objects, relations, and structures do not exist at all, or they do not exist as abstract objects (they are neither located in space-time nor do ... (Philosophy) [70%] 2022-07-23
22. Formalism in the Philosophy of Mathematics: One common understanding of formalism in the philosophy of mathematics takes it as holding that mathematics is not a body of propositions representing an abstract sector of reality but is much more akin to a game, bringing with it no ... (Philosophy) [70%] 2022-02-20
23. Intuitionism in the Philosophy of Mathematics: Intuitionism is a philosophy of mathematics that was introduced by the Dutch mathematician L.E.J. Brouwer (1881–1966). (Philosophy) [70%] 2021-12-29
24. Indispensability Arguments in the Philosophy of Mathematics: One of the most intriguing features of mathematics is its applicability to empirical science. Every branch of science draws upon large and often diverse portions of mathematics, from the use of Hilbert spaces in quantum mechanics to the use of ... (Philosophy) [65%] 2021-12-24
25. An Introduction to the Philosophy of Mathematics: An Introduction to 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 as the mathematical realism–anti-realism debate and the philosophical significance ... (2012 book by Mark Colyvan) [65%] 2024-04-24 [2012 non-fiction books] [Cambridge University Press books]...