On a related note, decades ago in a humanities class in an Engineering and Art school, the professor made a comment about argument, logic and debate. The bulk of the class were first year engineers. The teacher commented that if there was a debate where the proposition was "Is Calculus True" - and the side arguing against won then what? We have used it enough to know that it is true.
It was just another note about imperfection. (of course the arguments could have been faulty but let's leave that be.)
Read your article to my husband who had studied math. I gave him a set of “Principia Mathematica” as an engagement gift as he had requested. He actually worked through Vol 1. Great article.
There is nothing in Russell's paradox that prevents the Barber from either being shaved by another man in the village or by traveling barber. Who does a dentist go to? Another dentist.
There is also the 1984 solution. 2+2=4 or 5 if he party says it does. Double think. In a more scientific answer he could have asked Schrödinger's cat for the answer.
I apologize for badmouthing a person who is deceased. I once took a class with Paul Edwards (Edwards was editor-in-chief of Macmillan's Encyclopedia of Philosophy, published in 1967.) who was a friend of Bertrand Russell and he wasn’t to “enlightened” he just was a dirty old man.
On a related note, decades ago in a humanities class in an Engineering and Art school, the professor made a comment about argument, logic and debate. The bulk of the class were first year engineers. The teacher commented that if there was a debate where the proposition was "Is Calculus True" - and the side arguing against won then what? We have used it enough to know that it is true.
It was just another note about imperfection. (of course the arguments could have been faulty but let's leave that be.)
Read your article to my husband who had studied math. I gave him a set of “Principia Mathematica” as an engagement gift as he had requested. He actually worked through Vol 1. Great article.
There is nothing in Russell's paradox that prevents the Barber from either being shaved by another man in the village or by traveling barber. Who does a dentist go to? Another dentist.
There is also the 1984 solution. 2+2=4 or 5 if he party says it does. Double think. In a more scientific answer he could have asked Schrödinger's cat for the answer.
"There are four lights!"
I always thought the solution to Schrödinger question was to shake the box. If you hear a meow you know the answer. Ditto if you don't.
I apologize for badmouthing a person who is deceased. I once took a class with Paul Edwards (Edwards was editor-in-chief of Macmillan's Encyclopedia of Philosophy, published in 1967.) who was a friend of Bertrand Russell and he wasn’t to “enlightened” he just was a dirty old man.