<story><title>Some Fundamental Theorems in Mathematics (2019) [pdf]</title><url>http://people.math.harvard.edu/~knill/graphgeometry/papers/fundamental.pdf</url></story><parent_chain><item><author>dan-robertson</author><text>I recall learning the fundamental theorem of applied maths. The approximate phrasing is “in applied maths, if it looks right then it is” and a more precise phrasing is that “in applied maths, all reasonable series converge, all functions are continuous, differentiable and smooth almost everywhere, all limits (and integrals) exist, all sums or integrals commute, all Taylor series are good approximations, all of the silly well-behaved ness conditions of the theorems you want apply, and every equation has one solution”.</text></item></parent_chain><comment><author>ilyagr</author><text>&amp;gt; every equation has one solution&lt;p&gt;So when you see the sun rising, cherish the moment, as it has never happened before and will never happen again.</text></comment>
<story><title>Some Fundamental Theorems in Mathematics (2019) [pdf]</title><url>http://people.math.harvard.edu/~knill/graphgeometry/papers/fundamental.pdf</url></story><parent_chain><item><author>dan-robertson</author><text>I recall learning the fundamental theorem of applied maths. The approximate phrasing is “in applied maths, if it looks right then it is” and a more precise phrasing is that “in applied maths, all reasonable series converge, all functions are continuous, differentiable and smooth almost everywhere, all limits (and integrals) exist, all sums or integrals commute, all Taylor series are good approximations, all of the silly well-behaved ness conditions of the theorems you want apply, and every equation has one solution”.</text></item></parent_chain><comment><author>itcrowd</author><text>Do you remember where you read it? It&amp;#x27;s a nice and funny formulation but a quick attempt at googling didn&amp;#x27;t bring this up for me.</text></comment>