http://wiki.karljones.com/index.php?action=history&feed=atom&title=Constructive_analysis
Constructive analysis - Revision history
2026-10-23T17:18:23Z
Revision history for this page on the wiki
MediaWiki 1.24.2
http://wiki.karljones.com/index.php?title=Constructive_analysis&diff=12773&oldid=prev
Karl Jones: /* External links */
2016-04-22T21:14:54Z
<p><span dir="auto"><span class="autocomment">External links</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [https://en.wikipedia.org/wiki/Constructive_analysis Constructive analysis] @ Wikipedia</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [https://en.wikipedia.org/wiki/Constructive_analysis Constructive analysis] @ Wikipedia</div></td></tr>
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Karl Jones
http://wiki.karljones.com/index.php?title=Constructive_analysis&diff=8450&oldid=prev
Karl Jones: /* See also */
2016-02-18T03:11:18Z
<p><span dir="auto"><span class="autocomment">See also</span></span></p>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Indecomposable continuum]]</ins></div></td></tr>
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Karl Jones
http://wiki.karljones.com/index.php?title=Constructive_analysis&diff=8449&oldid=prev
Karl Jones: /* See also */
2016-02-18T03:09:51Z
<p><span dir="auto"><span class="autocomment">See also</span></span></p>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Approximation]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Approximation]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Computable analysis]]</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Indecomposability]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Intuitionistic logic]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Intuitionistic logic]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Mathematical analysis]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Mathematical analysis]]</div></td></tr>
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Karl Jones
http://wiki.karljones.com/index.php?title=Constructive_analysis&diff=8448&oldid=prev
Karl Jones at 03:08, 18 February 2016
2016-02-18T03:08:48Z
<p></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 03:08, 18 February 2016</td>
</tr><tr><td colspan="2" class="diff-lineno">Line 7:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Generally speaking, constructive analysis can reproduce theorems of classical analysis, but only in application to [[separable spaces]].</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Generally speaking, constructive analysis can reproduce theorems of classical analysis, but only in application to [[separable spaces]].</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Also, some theorems may need to be approached by approximations. Furthermore, many classical theorems can be stated in ways that are logically equivalent according to [[classical logic]], but not all of these forms will be valid in constructive analysis, which uses [[intuitionistic logic]].</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Also, some theorems may need to be approached by <ins class="diffchange diffchange-inline">[[Approximation|</ins>approximations<ins class="diffchange diffchange-inline">]]</ins>.</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Furthermore, many classical theorems can be stated in ways that are logically equivalent according to [[classical logic]], but not all of these forms will be valid in constructive analysis, which uses [[intuitionistic logic]].</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== See also ==</div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Approximation]]</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Constructive mathematics]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Constructive mathematics]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Intuitionistic logic]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>* [[Intuitionistic logic]]</div></td></tr>
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Karl Jones
http://wiki.karljones.com/index.php?title=Constructive_analysis&diff=8446&oldid=prev
Karl Jones: Created page with "In mathematics, '''constructive analysis''' is mathematical analysis done according to some principles of constructive mathematics. == Description == Constructiv..."
2016-02-18T03:07:25Z
<p>Created page with "In <a href="/index.php/Mathematics" title="Mathematics">mathematics</a>, '''constructive analysis''' is <a href="/index.php/Mathematical_analysis" title="Mathematical analysis">mathematical analysis</a> done according to some principles of <a href="/index.php?title=Constructive_mathematics&action=edit&redlink=1" class="new" title="Constructive mathematics (page does not exist)">constructive mathematics</a>. == Description == Constructiv..."</p>
<p><b>New page</b></p><div>In [[mathematics]], '''constructive analysis''' is [[mathematical analysis]] done according to some principles of [[constructive mathematics]].<br />
<br />
== Description ==<br />
<br />
Constructive analysis contrasts with [[classical analysis]], which (in this context) simply means analysis done according to the (ordinary) principles of [[classical mathematics]].<br />
<br />
Generally speaking, constructive analysis can reproduce theorems of classical analysis, but only in application to [[separable spaces]].<br />
<br />
Also, some theorems may need to be approached by approximations. Furthermore, many classical theorems can be stated in ways that are logically equivalent according to [[classical logic]], but not all of these forms will be valid in constructive analysis, which uses [[intuitionistic logic]].<br />
<br />
== See also ==<br />
<br />
* [[Constructive mathematics]]<br />
* [[Intuitionistic logic]]<br />
* [[Mathematical analysis]]<br />
* [[Mathematics]]<br />
<br />
== External links ==<br />
<br />
* [https://en.wikipedia.org/wiki/Constructive_analysis Constructive analysis] @ Wikipedia</div>
Karl Jones