<story><title>How to Study Mathematics (2017)</title><url>https://www.math.uh.edu/~dblecher/pf2.html</url></story><parent_chain><item><author>nothis</author><text>It always saddens me how mathematicians seem to look down on “intuition”. Maybe higher math as a full-time job is just hard work and stubborn precision but for me, an intuitive, visual look is probably getting me closer to understanding than any cold-hard-facts book does. Not to mention how much easier it is to appreciate the beauty of it.</text></item><item><author>e0m</author><text>By far the best explainer of mathematics I&amp;#x27;ve seen anywhere is 3Blue1Brown: &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;www.youtube.com&amp;#x2F;channel&amp;#x2F;UCYO_jab_esuFRV4b17AJtAw&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;www.youtube.com&amp;#x2F;channel&amp;#x2F;UCYO_jab_esuFRV4b17AJtAw&lt;/a&gt;&lt;p&gt;These videos do an incredible job of illustrating how to intuitively arrive at an answer by composing many of the parts you need to build a proof for more complex topics.</text></item></parent_chain><comment><author>gracenotes</author><text>You can take it from one of the most productive living mathematicians:&lt;p&gt;&lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;terrytao.wordpress.com&amp;#x2F;career-advice&amp;#x2F;theres-more-to-mathematics-than-rigour-and-proofs&amp;#x2F;&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;terrytao.wordpress.com&amp;#x2F;career-advice&amp;#x2F;theres-more-to-...&lt;/a&gt;&lt;p&gt;I recommend reading the entire post - it&amp;#x27;s not too long, and links to other great materials - but this is a good relevant quote:&lt;p&gt;&amp;gt; The point of rigour is &lt;i&gt;not&lt;/i&gt; to destroy all intuition; instead, it should be used to destroy &lt;i&gt;bad&lt;/i&gt; intuition while clarifying and elevating &lt;i&gt;good&lt;/i&gt; intuition.</text></comment>
<story><title>How to Study Mathematics (2017)</title><url>https://www.math.uh.edu/~dblecher/pf2.html</url></story><parent_chain><item><author>nothis</author><text>It always saddens me how mathematicians seem to look down on “intuition”. Maybe higher math as a full-time job is just hard work and stubborn precision but for me, an intuitive, visual look is probably getting me closer to understanding than any cold-hard-facts book does. Not to mention how much easier it is to appreciate the beauty of it.</text></item><item><author>e0m</author><text>By far the best explainer of mathematics I&amp;#x27;ve seen anywhere is 3Blue1Brown: &lt;a href=&quot;https:&amp;#x2F;&amp;#x2F;www.youtube.com&amp;#x2F;channel&amp;#x2F;UCYO_jab_esuFRV4b17AJtAw&quot; rel=&quot;nofollow&quot;&gt;https:&amp;#x2F;&amp;#x2F;www.youtube.com&amp;#x2F;channel&amp;#x2F;UCYO_jab_esuFRV4b17AJtAw&lt;/a&gt;&lt;p&gt;These videos do an incredible job of illustrating how to intuitively arrive at an answer by composing many of the parts you need to build a proof for more complex topics.</text></item></parent_chain><comment><author>eigenman</author><text>Mathematians (such as myself) don’t look down on intuition. It is the only way to construct a map through a complex proof.&lt;p&gt;However what you may have picked up on is we disstain people who insist they have a brilliant idea for which someone should prove they are right. That’s like saying a car engine consists of cyclinders and piston; someone else just needs to do the work to put the pieces together.</text></comment>