Mathematics
Great change is taking place in mathematics. This change affects the fundamental concepts of the mathematics; the numbers, the countability and the infinite.
Great change is taking place in mathematics. This change affects the fundamental concepts of the mathematics; the numbers, the countability and the infinite.
The philosophy is not dead, as many people think. According to me philosophy is more alive than ever, because I regard it as scientific worldview.
I deal with physics primarily between the other topics, but with anything else, which is exciting, interesting, and thought-provoking.
Limits and Continuity on Two-element Numbers
“„One can give good reasons why reality cannot at all be represented by a continuous field. From the quantum phenomena it appears to follow with certainty that a finite system of finite energy can be completely described by a finite set of numbers (quantum numbers). This does not seem to be in accordance with a continuum theory and must lead to an attempt to find a purely algebraic theory for the description of reality. But nobody knows how to obtain the basis of such a theory.””
(Einstein , The meaning of relativity)
The problem with mathematical continuity is similar to the problem with infinity; continuity in reality is very different from the concept defined in mathematics. Just as we do not experience a quantitative infinite that actually exists, we cannot experience continuity in the sense that mathematics defines it, and the two are causally related.
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On Freedom and Free Will again
I've already written an article about freedom and free will, but I've been listening to so many conversations on the internet about this topic lately that I have to write about it again. Of these conversations, I will only mention the name of László Bernáth, because at last I have a contemporary Hungarian philosopher with whom I agree on more things than I disagree. However, I will not discuss philosophical approaches in my writing, but I will outline my own world view on the basis that I would like to grasp the whole of existence in my thinking, including the functioning of free will.
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Coordinate Systems and Spacetime
“It does not do harm to the mystery to know a little about it. For far more marvelous is the truth than any artists of the past imagined!”
(Richard Feynman)1
Although the article contains many and deep mathematical connections, it also includes many interpretations and explanations, which may make the old/new concepts of number and infinity in mathematics understandable to those who are not involved in mathematics, and reveal the mystical beauty of mathematical connections.
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1 Richard Feynman, The Feynman Lectures on Physics Vol. I Ch. 3 / Footnote 3-4 Astronomy
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From my Diary, 23.01.2024.
I listened to the latest conversation1 of the podcast Mindenségit! with brain researcher Balázs Hangya while doing housework today.
I would like to highlight one topic in the discussion, the one that science has no real theories on yet, so I will write a few words about consciousness.
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1 Balázs Hangya: Brain research, brain function, learning, consciousness, emotions / Mindenségit!
https://www.youtube.com/watch?v=e7U04VjmfHE
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