Sentence examples for mathematics from high-quality English sources.

• The article East Asian mathematics covers the mostly independent development of mathematics in China, Japan, Korea, and Vietnam.

• When professional philosophers investigate philosophical questions concerning mathematics, they are said to contribute to the philosophy of mathematics.

• Teaching the mathematics course that was required for those who wished to become elementary school teachers led to an interest in mathematics education.

• An apparent problem with naturalism is that there do not seem to be sharp boundaries between science and non-science and between mathematics and non-mathematics.

• Moreover, Quine and Putnam maintain that these standards sanction platonist mathematics because mathematics and its platonist construal are an indispensable part of our best scientific theories.

• Second, the reliance on a philosophy of mind introduces features that are absent from classical mathematics as well as from other forms of constructive mathematics: unlike those, intuitionistic mathematics is not a proper part of classical mathematics.

• aesthetics: aesthetic judgment | Brouwer, Luitzen Egbertus Jan | Duhem, Pierre | mathematics, philosophy of | mathematics, philosophy of: intuitionism | mathematics, philosophy of: naturalism | mathematics: constructive | scientific knowledge: social dimensions of

• abstract objects | mathematics, philosophy of | mathematics, philosophy of: indispensability arguments in the | nominalism: in metaphysics | ontological commitment | Platonism: in metaphysics | Platonism: in the philosophy of mathematics | plural quantification | Quine, Willard Van Orman

Use mathematics in a sentence.

• Frege, Gottlob: controversy with Hilbert | Gödel, Kurt | Hilbert, David: program in the foundations of mathematics | mathematics, philosophy of | mathematics, philosophy of: fictionalism | Platonism: in the philosophy of mathematics | Wittgenstein, Ludwig: philosophy of mathematics

• abstract objects | fictionalism | mathematics, philosophy of | mathematics, philosophy of: indispensability arguments in the | mathematics, philosophy of: nominalism | nominalism: in metaphysics | nonexistent objects | Platonism: in metaphysics | Platonism: in the philosophy of mathematics | psychologism

• Goodman, Nelson: aesthetics | imagination | mathematics, philosophy of | mathematics, philosophy of: nominalism | measurement: in science | models in science | Platonism: in the philosophy of mathematics | reference | scientific realism | scientific theories: structure of | theoretical terms in science | truth: deflationary theory of

• category theory | Dedekind, Richard: contributions to the foundations of mathematics | identity: of indiscernibles | mathematics, philosophy of | mathematics, philosophy of: nominalism | physics: structuralism in | Platonism: in the philosophy of mathematics | structural realism | style: in mathematics

• Brouwer, Luitzen Egbertus Jan | epsilon calculus | Frege, Gottlob: controversy with Hilbert | Gödel, Kurt | Gödel, Kurt: incompleteness theorems | Hilbert, David | mathematics, philosophy of | mathematics, philosophy of: formalism | mathematics, philosophy of: intuitionism | Principia Mathematica | proof theory: development of | Russell, Bertrand

• algebra | Frege, Gottlob | Hilbert, David | Hilbert, David: program in the foundations of mathematics | mathematics, philosophy of | mathematics, philosophy of: structuralism | mathematics: explanation in | Russell, Bertrand | Russell’s paradox | set theory: early development | set theory: Zermelo’s axiomatization of | style: in mathematics

• Church-Turing Thesis | Gödel, Kurt | Hilbert, David: program in the foundations of mathematics | logic, history of: intuitionistic logic | logic: second-order and higher-order | mathematics, philosophy of | mathematics, philosophy of: intuitionism | proof theory | proof theory: development of | recursive functions | set theory | set theory: independence and large cardinals | Turing machines | Wittgenstein, Ludwig: philosophy of mathematics

• Brouwer, Luitzen Egbertus Jan | finitism | Gödel, Kurt | logic, history of: intuitionistic logic | logic: classical | logic: modal | logic: provability | logicism and neologicism | mathematics, philosophy of | mathematics, philosophy of: formalism | mathematics, philosophy of: intuitionism | mathematics: constructive | Platonism: in the philosophy of mathematics | proof theory: development of | set theory: constructive and intuitionistic ZF

mathematics sentence examples

• Brouwer, Luitzen Egbertus Jan | Gödel, Kurt | Hilbert, David | Hilbert, David: program in the foundations of mathematics | logic: classical | logic: intuitionistic | logic: provability | logic: relevance | mathematics, philosophy of: formalism | mathematics, philosophy of: intuitionism | mathematics: constructive | Principia Mathematica | proof theory | proof theory: development of | set theory: constructive and intuitionistic ZF | Wittgenstein, Ludwig: philosophy of mathematics

• abstract objects | cognitivism vs. non-cognitivism, moral | constructive empiricism | fictionalism: modal | imagination | impossible worlds | logic and ontology | mathematics, philosophy of: fictionalism | mathematics, philosophy of: indispensability arguments in the | mathematics, philosophy of: naturalism | models in science | moral anti-realism | moral realism | naturalism | nominalism: in metaphysics | nonexistent objects | Platonism: in metaphysics | Platonism: in the philosophy of mathematics | propositions | realism

• Cantor, Georg | Frege, Gottlob: controversy with Hilbert | Hilbert, David | Hilbert, David: program in the foundations of mathematics | Kant, Immanuel: philosophy of mathematics | logic, history of: intuitionistic logic | logic: classical | logic: intuitionistic | mathematics, philosophy of | mathematics, philosophy of: formalism | mathematics, philosophy of: intuitionism | mathematics: constructive | Platonism: in metaphysics | Platonism: in the philosophy of mathematics | set theory: early development | Weyl, Hermann | Wittgenstein, Ludwig: philosophy of mathematics

• abstract objects | Brouwer, Luitzen Egbertus Jan | dependence, ontological | epsilon calculus | existence | logic: intuitionistic | logic and ontology | mathematics, philosophy of | mathematics, philosophy of: fictionalism | mathematics, philosophy of: formalism | mathematics, philosophy of: indispensability arguments in the | mathematics, philosophy of: nominalism | mathematics, philosophy of: structuralism | mathematics: constructive | mathematics: explanation in | mathematics: non-deductive methods in | naturalism | nominalism: in metaphysics | object | ontological commitment | Platonism: in metaphysics | Platonism: in the philosophy of mathematics | Quine, Willard van Orman: New Foundations | realism | realism: challenges to metaphysical | reism | scientific realism | set theory | set theory: early development | structural realism | truth | type theory | Wittgenstein, Ludwig: philosophy of mathematics