I recall a fascinating lecture given by Professor Enrico Bellone. In a letter dated May 7th, 1952, addressed to his friend Maurice Solovine, Einstein shared a drawing that summarized his ideas on the subject: "What is science ?". The drawing features a horizontal line labeled E, which represents immediate experiences or the empirical basis, and a vertical line labeled A, which represents the axioms underlying theories. Einstein argued that there is no logical process that allows us to derive axioms from experiences; instead, it requires an intuitive, extralogical, and psychological leap. Once we have intuited the axioms, we can deduce special statements S1, S2... by assuming their truthfulness and then comparing them with experience. According to Einstein, the crucial level lies in the axioms, and therefore there is no distinction between science and philosophy, but rather a single set of concepts. He also maintained that the theoretical principles of scientific theories are fictional, and any attempt to deduce ideas and laws from elementary experiences is doomed to fail. So, what is science according to Albert Einstein? Einstein believed that all the games are played at the top of the drawing, where we jump from one idea to another, from one theory to another, and where we model nature because we have categories of ideas that are fairly standard. In this context, Einstein praised the great philosophers he admired.
Dear Alessandro ( Alessandro Rizzo ) ,
First here I would like to congratulated you on your last article: Preprint Bohm's Implicit Order Theorem: The P=NP Equivalence Principl...
In many respects, Einstein's approach seems good, but there are also arguments with which one cannot agree.
The question is difficult. Because it also has a political aspect, that's why soon. I will limit myself to the criticism of the attached text... This answer should also be carefully considered.
First here I would like to congratulate you on your last article:
This is very interesting and great question:
It is not easy to answer to it
In order for the answer to be as good as possible ... I will need intuition with using of my life experience.
Very interesting. Because I'm working on a short (under one minute) video. There were two or three days of practice in order to be able to perform well. And what this video has to say is exactly one answer to this question: a quite acceptable answer.
Regards Laszlo
I hope the video will be ready one-three days and present on my YouTube Channel: Geo-intuition. The title of channel also is containing the intuition word.
Dear Laszlo, Thank you very much for your message: I greatly appreciate your response and insights. I look forward to seeing your upcoming short video on your Geo-intuition YouTube channel. I completely agree that intuition enables giant leaps forward in science. As the brilliant physicist Ettore Majorana said, physical intuition abundantly justifies the infringement of mathematical rigor, at least in the early stages of drafting a scientific work. Coming from Majorana, who was one of the greatest mathematicians, I find this perspective very reassuring and encouraging.
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