nuuskur
Science Advisor
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Pop science is, in my humble opinion, for entertainment. In my tiny world of mathematics I have learned from professionals and taught myself, I have encountered popular accounts on some things of interest.
\begin{rant}
A few examples:
Youtube videos that tell you trisecting an arbitrary angle with compass and straight edge is possible (and their proof is just a few examples DRAWN ON THE PAPER?!) (however, it's disproved long ago)
The ever so undying sum over ##\mathbb N ## is equal to ##-\frac{1}{12} ##?!
In serious material, it is clearly stated the series representation of ##\zeta (s) ## is valid only for ##Re(s)>1##.
Then there is the famous misconception about ex falso quodlibet: from falsehood one may deduce anything. The statement ##P\implies Q ## is trivially true if ##P=0 ##, but then they go on to argue that ##Q=1 ##. NO!
In every single textbook that touches on mathematical logic, at some point a certain deduction rule modus ponens is mentioned. Explicitly: ##P, P\implies Q \models Q ##. True statements may be inferred only from true statements.
Ah but this is so boring, there is no intrigue. It's much better to create controversy with false statements and have people believe sciences are a joke.
\end{rant}
\begin{rant}
A few examples:
Youtube videos that tell you trisecting an arbitrary angle with compass and straight edge is possible (and their proof is just a few examples DRAWN ON THE PAPER?!) (however, it's disproved long ago)
The ever so undying sum over ##\mathbb N ## is equal to ##-\frac{1}{12} ##?!
In serious material, it is clearly stated the series representation of ##\zeta (s) ## is valid only for ##Re(s)>1##.
Then there is the famous misconception about ex falso quodlibet: from falsehood one may deduce anything. The statement ##P\implies Q ## is trivially true if ##P=0 ##, but then they go on to argue that ##Q=1 ##. NO!
In every single textbook that touches on mathematical logic, at some point a certain deduction rule modus ponens is mentioned. Explicitly: ##P, P\implies Q \models Q ##. True statements may be inferred only from true statements.
Ah but this is so boring, there is no intrigue. It's much better to create controversy with false statements and have people believe sciences are a joke.
\end{rant}