Mathematics and Reality: Is Mathematics a symbolic Universe Invented by the Human Mind? (part 5 of 5)
Part 5 of 5. Read Part 1… Read previous part, 4… by Paul Hartal. Chapter 5: A Magical Land of Infinite Worlds A gentle soul and highly poetic mathematician, Georg Cantor (1845-1918), upset thoroughly the applecart of arithmetic with his Set Theory of Infinity. The mystical imagination of Cantor had created a magical land fraught with perplexing logical paradoxes that forced...
Read MoreMathematics and Reality: Is Mathematics a symbolic Universe Invented by the Human Mind? (part 4 of 5)
Part 4 of 5. Read the previous part… by Paul Hartal. Chapter 4: Unverifiable Theories Although Einstein had made major contributions to the development of quantum theory, in his eyes the new branch of physics was incomplete. He could not accept the idea that on the atomic level blind chance and unpredictability governed nature, which scientists could understand only in probabilistic terms. For...
Read MoreMathematics and Reality: Is Mathematics a symbolic Universe Invented by the Human Mind? (part 3 of 5)
Part 3 of 5. Read the previous part… by Paul Hartal. Chapter 3: A Leap of Imagination Einstein’s theories rely on innovative mathematical models of space. For more than two millennia the magnificent geometrical axioms of Euclid of Alexandria were regarded as incontrovertibly absolute truths. New discoveries transformed their status, although inasmuch as the axioms apply to the geometrical...
Read MoreMathematics and Reality: Is Mathematics a symbolic Universe Invented by the Human Mind? (part 2 of 5)
Part 2 of 5. Read the previous part… by Paul Hartal. Chapter 2: Zero is something The mysterious irrationality of the nullity: zero equaling plenty– arising from the bewildering mathematical complex of the concise and elegantly wrapped Euler Identity—had cast a particular spell on Benjamin Peirce, who in 1831, at the age of 22, had been appointed Professor of Mathematics at Harvard....
Read MoreMathematics and Reality: Is Mathematics a symbolic Universe Invented by the Human Mind? (part 1 of 5)
by Paul Hartal. Introduction Mathematics is a model of exact reasoning, the most precise branch of human knowledge. Using logic as its main instrument, mathematics probes the numerical and spatial relations of axiomatic systems by means of strict rules and careful analysis. It is a ubiquitous and indispensable subject because every human endeavor involves some form of arithmetic. In the sciences...
Read MoreThe Discovery of an Esoteric Message in Pascal’s Triangle.
By Paul Hartal. (לגרסה העברית Hebrew version) I began to experiment with Kabala inspired paintings in the 1990s. To my utter astonishment these experiments led to a totally unexpected and most exciting discovery of a transcendent communication. In the Hebrew alphabet each letter assigns a numerical value. When I substituted the numbers in Pascal’s triangle with Hebrew ...
Read MoreIn You We See The Light.
‘The Band of Brothers’ in an interview with Gil Dekel. Gil Dekel: This interview is taking place through an automatic-speech experiment, where spiritual intelligent forms (‘beings’) are channelled through a medium. So, can I start by asking you: what is your name? BB: We do not give names, because it is unnecessary where we are coming from… We do not wish to...
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