Philosophy of mathematics - Revision history

Karl Jones: /* External links */

2016-03-17T14:02:01Z

‎External links

Karl Jones: /* Mathematical philosophy */

2016-02-07T11:04:12Z

‎Mathematical philosophy

Karl Jones at 23:38, 4 September 2015

2015-09-04T23:38:57Z

Karl Jones: Etc

2015-08-21T12:42:56Z

Etc

New page

The '''philosophy of mathematics''' is the branch of [[philosophy]] that studies the philosophical assumptions, foundations, and implications of [[mathematics]].

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 [[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]]''.

== See also ==

* [[Mathematics]]
* [[Philosophy]]
* [[Programming paradigm]]

== External links ==

* [https://en.wikipedia.org/wiki/Philosophy_of_mathematics Philosophy of mathematics] @ Wikipedia

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	* [https://en.wikipedia.org/wiki/Philosophy_of_mathematics Philosophy of mathematics] @ Wikipedia		* [https://en.wikipedia.org/wiki/Philosophy_of_mathematics Philosophy of mathematics] @ Wikipedia
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	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]].
		+
		+	== Allusion to Betrand Russell's work ==

	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]]''.

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 The '''philosophy of mathematics''' is the branch of [[philosophy]] that studies the philosophical assumptions, foundations, and implications of [[mathematics]].
 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.
@@ Line 9: / Line 11: @@
 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]].
-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 ==
 * [[Mathematics]]
 * [[Philosophy]]