Difference between revisions of "Philosophy of mathematics"
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The '''philosophy of mathematics''' is the branch of [[philosophy]] that studies the philosophical assumptions, foundations, and implications of [[mathematics]]. | The '''philosophy of mathematics''' is the branch of [[philosophy]] that studies the philosophical assumptions, foundations, and implications of [[mathematics]]. | ||
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| + | == Description == | ||
The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives. | The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives. | ||
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The terms ''philosophy of mathematics'' and ''mathematical philosophy'' are frequently used as synonyms. The latter, however, may be used to refer to several other areas of study. | The terms ''philosophy of mathematics'' and ''mathematical philosophy'' are frequently used as synonyms. The latter, however, may be used to refer to several other areas of study. | ||
| − | One refers to a project of formalizing a philosophical subject matter, say, aesthetics, ethics, [[logic]], metaphysics, or theology, in a purportedly more exact and rigorous form, as for example the labors of scholastic theologians, or the systematic aims of Leibniz and Spinoza. | + | One refers to a project of formalizing a philosophical subject matter, say, aesthetics, ethics, [[logic]], metaphysics, or theology, in a purportedly more exact and rigorous form, as for example the labors of scholastic theologians, or the systematic aims of [[Leibniz]] and [[Spinoza]]. |
Another refers to the working philosophy of an individual practitioner or a like-minded community of practicing [[Mathematician|mathematicians]]. | Another refers to the working philosophy of an individual practitioner or a like-minded community of practicing [[Mathematician|mathematicians]]. | ||
| − | Additionally, some understand the term "mathematical philosophy" to be an allusion to the approach to the foundations of mathematics taken by [[Bertrand Russell]] in his books ''[[The Principles of Mathematics]]'' and ''[[Introduction to Mathematical Philosophy]]''. | + | Additionally, some understand the term "mathematical philosophy" to be an allusion to the approach to the [[foundations of mathematics]] taken by [[Bertrand Russell]] in his books ''[[The Principles of Mathematics]]'' and ''[[Introduction to Mathematical Philosophy]]''. |
== See also == | == See also == | ||
| + | * [[Foundations of mathematics]] | ||
| + | * [[Logic]] | ||
| + | * [[Mathematician]] | ||
* [[Mathematics]] | * [[Mathematics]] | ||
* [[Philosophy]] | * [[Philosophy]] | ||
Revision as of 16:38, 4 September 2015
The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics.
Description
The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives.
The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.
Mathematical philosophy
The terms philosophy of mathematics and mathematical philosophy are frequently used as synonyms. The latter, however, may be used to refer to several other areas of study.
One refers to a project of formalizing a philosophical subject matter, say, aesthetics, ethics, logic, metaphysics, or theology, in a purportedly more exact and rigorous form, as for example the labors of scholastic theologians, or the systematic aims of Leibniz and Spinoza.
Another refers to the working philosophy of an individual practitioner or a like-minded community of practicing mathematicians.
Additionally, some understand the term "mathematical philosophy" to be an allusion to the approach to the foundations of mathematics taken by Bertrand Russell in his books The Principles of Mathematics and Introduction to Mathematical Philosophy.
See also
External links
- Philosophy of mathematics @ Wikipedia
