First Quote Added
April 10, 2026
Latest Quote Added
"The true reality is the interior one, quantistic, and private. We as conscious entities belong to the part-whole of the One, One is all that exists, [One] is what we call God."
"Not even the most advanced form of artificial intelligence can ever replace man. Because there is something in human beings that is irreducible to machine knowledge: self-awareness, free will, doubt, feelings."
"Humanity is at a crossroads. Either it returns to the belief that it has a different nature than machines or it will be reduced to a machine among machines. The risk is not that artificial intelligence will become better than us, but that we will freely decide to submit to it and its masters."
"We are spiritual beings, temporarily imprisoned in a physical body that is similar to a machine. But we are much more than a machine. We are consciousness, infinite and irreducible entities."
"The matter is the ink with which the consciousness writes its self-experience."
"A robot won't ever be able to be like us, it is solely a symbolic representation, it does what we ask to it to do. With professor Giacomo D'Ariano, who is an authority in the field of quantum physics, I elaborated the first theory of consciousness. There exists a link between quantum information and consciousness, and through this link we are able to explain phenomena that couldn't explain before."
"Artificial intelligence does not have the capacity to be creative. True creativity leads to what has never existed, it goes far beyond combining what already exists. If we ask it to redesign this theatre, the AI shuffles the chairs it finds in the room, but it is we who have to decide whether or not we like the way it does it, remembering that those chairs were derived from algorithms from data created by us. The computer recognises the correlation between symbols, but it does not understand and it is useless to pretend it does, because it will never understand nothing."
"L’intelligenza artifciale non ha la capacità di essere creativa. La vera creatività porta a ciò che non è mai esistito, va ben oltre la combinazione di ciò che già esiste. Se le chiediamo di riprogettare questo teatro, l'AI rimescola le sedie che trova nella stanza ma siamo noi che dobbiamo decidere se ci piace o meno come lo fa, ricordando che quelle sedie sono state ricavate da algoritmi che partono da dati creati da noi. Il computer riconosce la correlazione tra simboli, ma non capisce ed è inutile pretenderlo, perché non capirà mai un tubo."
"Consciousness is the ability to understand, that is, to be able to have a sentient experience of sensations and feelings and to understand their meaning. This goes beyond what a computer can do. Consciousness is a phenomenon that emerges from a deeper reality that cannot exist in space-time and cannot be explained by classical physics. Only the 'quantum state' can describe conscious experience, so by necessity consciousness must exist before matter, energy, space and time. Physical phenomena, which are more virtual than real, are the creation of a conscious field that observes objects moving in spacetime through the body controlled by the field. The quantum state of the field is the representation of qualia, i.e. the sensations and feelings that constitute a conscious experience. Qualia can only be known by the field that is in that state and go beyond what is representable by a mathematical concept."
"In the Silicon Valley, there is the view that is widely shared in the world. And it is materialist and reductionist, for which the human being is a machine and reality is describable by the classical physics of objects moving in space-time. It is also the deception of today's artificial intelligence, which is more 'logo' to sell than the real thing. In this view, consciousness and experience are classified as simple phenomena that can be measured and described mathematically, when in fact they are not. This is why the current description of artificial intelligence is actually misleading."
"Wired Next Festa Trentino (September 29, 2024)"
"Violence, bullying, and intimidation exist and are practiced on a daily basis within the mathematical community, and there is a widespread "culture of cruelty" among its practitioners ..."
"It turns out that noncommutative geometry is a very good framework for theories of (modified) gravity coupled to matter. The main idea behind gravity and particle physics models based on noncommutative geometry is that "all forces become gravity" on an noncommutative space. In other words, it is only from the point of view of a slice of the geometry consisting of an ordinary spacetime manifold that we see a difference between gravity and the other forces, while from the point of view of the overall (noncommutative) geometry they are all seen together as gravity. As we will see, the main construction is not unlike the idea of "extra dimensions" many people are familiar with from string theory, except for the fact that the extra dimensions in these models are not only small, but also noncommutative, while the extended dimensions of spacetime maintain their commutative nature."
"Matilde Marcolli describes how she came to mathematics influenced by her parents’ involvement in Italian contemporary art. The abstract art of her father and the conceptual art of her mother, together with atonal twentieth-century music, share with mathematics an appreciation of abstract structures. Her own art includes painting, where surrealism allows her to express contrasts inherent in the practice of mathematical research and to explore the inner world of patient, difficult, and painful hard work and also the bullying and “culture of cruelty” within the mathematics community. ... Besides painting, Marcolli is also a writer in many forms, including science fiction, short stories, poetry, and a theater play."
"The physicists' approach to the equivalence of Seiberg-Witten and Donaldson theory is based on Witten's interpretation of Donaldson's theory as a twisted supersymmetric Quantum Field Theory ... and on the concept of electro-magnetic duality."
"The general discourse of scientists about science is marred by beliefs of the Ancient Greeks in the kalos kai agathos: that which is beautiful must also be good, and conversely. This leads inevitably to portraits of scientists as cartoonish heroes: the more profound and significant the science, ... In fact what is truly heroic about science is the fact that it does uncover beautiful truths about the universe despite the ugliness and brutality of the human beings involved."
"Noncommutative geometry, as developed by Connes starting in the early ’80s ..., extends the tools of ordinary geometry to treat spaces that are quotients, for which the usual “ring of functions”, defined as functions invariant with respect to the equivalence relation, is too small to capture the information on the “inner structure” of points in the quotient space. Typically, for such spaces functions on the quotients are just constants, while a nontrivial ring of functions, which remembers the structure of the equivalence relation, can be defined using a noncommutative algebra of coordinates, analogous to the non- commuting variables of quantum mechanics."
"Si vous demandez à tout mathématicien si dans son esprit il fait une distinction les théories de l'élasticité et celles de l'électrodynamique, il vous dira qu'il n'en fait pas, car les types de équations différentielles qu'il rencontre, et les méthodes qu'il doit employer pour résoudre les problèmes qui se présentent, sont tout à les mêmes dans le deux cas. (If you ask any mathematician if in his mind he makes a distinction between the theories of elasticity and those of electrodynamics, he will tell you that he does not, because the types of differential equations he encounters, and the methods which he must employ to solve the problems which arise, are all the same in the two cases.)"
"He and Benedetto Croce actively attacked the regime from their seats in the Senate. After 1930 Volterra was dismissed from the University and stripped of his membership in all Italian scientific societies. The same thing later happened to Levi-Civita. To the honor of the Santa Sede, he and Volterra (both of whom were Jews) were soon thereafter appointed by Pope Pius XI to his Pontifical Academy."
"I did not hesitate at the Congress of Mathematicians at Paris to call the nineteenth century the century of the theory of functions, as the eighteenth century might have been called that of infinitesimal calculus."
"On my way home in May 1932, when I stopped in Rome to see Vito Volterra and explained my 92 Andre Weil formula to him, he jumped up out of his chair and ran to the back of the apartment, crying to his wife: "Virginia! Virginia! Il signor Weil ha dimostrato un gran bel teorema!" ("Mr. Weil has proved a very beautiful theorem!")"
"... in 1954 Daniele returned to Italy, his native country, and in the summer he attended a one-month course given by Fermi. He wrote me an interesting letter comparing the two as teachers. He put it roughly as follows: you ask a question to Feynman and, in many cases, he invents on the spot a clever and very original argument to answer the question: you understand the argument but at the same time you have the strong feeling that in no way you would have thought of it yourself. You ask a question to Fermi and his answer is so simple that you have the strong feeling that you should have thought of it yourself!"
"The incompatibility between gravity and quantum coherence represented by black holes should be solved by a consistent quantum theory that contains gravity as superstring theory. Despite many encouraging results in that sense, I question here the general feeling of a naive resolution of the paradox. And indicate non trivial physical possibilities towards its solution that are suggested by string theory and may be further investigated in its context."
"Nature is constructed in such a way that there is no doubt that it cannot be so constructed by casuality. The more one studies the phenomena of nature, the more deeply one becomes convinced of this. There are natural laws of an incredible depth and beauty. One cannot think that all of this can be reduced to an accumulation of molecules."
"The scientist, in particular, fundamentally recognises the existence of a transcendent law, something that is outside and immanent to the natural mechanism. He recognises that this 'something' is the cause, that pulls the strings of the system. It is a 'something' that escapes us."
"The more you look into it, the more you realise that it has nothing to do with casuality."
"If we count the galaxies of the world or we show existence of elementary particles, in an analogous way we probably cannot have evidence for God. But, as a research scientist, I am deeply impressed by the order and the beauty that I find in the cosmos, as well as inside the material things. And as an observer of nature, I cannot help thinking that a greater order exists. The idea that all this is the result of randomness or purely statistical diversity is for me completely unacceptable. There is an Intelligence at a higher level, beyond the existence of the universe itself."
"The more you observe nature, the more you perceive that there is tremendous organization in all things. It is an intelligence so great that just by observing natural phenomena I come to the conclusion that a Creator exists."
"Since we all think that our being human is something that puts us above all other living beings on earth, we must also necessarily think that we were made in the image of something even more important than ourselves."
"What is most impressive about the question [of who we are and where we are going] is its universality. It is common to all."
"At least 60% of the warming of the Earth observed since 1970 appears to be induced by natural cycles which are present in the solar system. A climatic stabilization or cooling until 2030-2040 is forecast by the phenomenological model."
"The age-long history of thinking on gravitation, too, was erased from the collective consciousness, and that force somehow became the serendipitous child of Newton's genius. The new attitude is well illustrated by the anecdote of the apple, a legend spread by Voltaire, one of the most active and vehement erasers of the past. … The need to build the myth of an ex nihilo creation of modern science gave rise to much impassioned rhetoric."
"Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal … yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently."
"Many scholars have felt that the Heronian passage [on a pipe-organ moved by an anemourion-like wheel] can be disregarded because it is not confirmed by other writings. Heron presumably mentioned the anemourion in a moment of distraction, forgetting that it had not been invented yet. We know that he was given to such lapses."
"From semantics to shipbuilding, from dream theory to propositional logic, any specialist … is invariably astonished to discover that modern knowledge was foreshadowed at the time. … Should we not replace these foreshadowings by the study of the influences of Hellenistic thought on modern thought?"
"Euclid … manages to obtain a rigorous proof without ever dealing with infinity, by reducing the problem [of the infinitude of primes] to the study of finite numbers. This is exactly what contemporary mathematical analysis does."
"Unfortunately, the optimistic view that "classical civilization" handed down certain fundamental works that managed to include the knowledge contained in the lost writings has proved groundless. In fact, in the face of a general regression in the level of civilization, it's never the best works that will be saved through an automatic process of natural selection."
"The oft-heard comment that Leonardo [da Vinci]'s genius managed to transcend the culture of his time is amply justified. But his was not a science-fiction voyage into the future as much as a plunge into the past."
"Since UFO stands for "unidentified flying object", the word ufology means approximately "knowledge about unknown flying objects", and is therefore a "science" whose content is void by definition. Similar considerations hold for parapsychology."
"About Archimedes one remembers that he did strange things: he ran around naked shouting Heureka!, plunged crowns into water, drew geometric figures as he was about to be killed, and so on. … One ends up forgetting he was a scientist of whom we still have many writings."
"La scienza conduce a grandi conquiste, che, giustamente, colmano di gioia chi cerca la veritĂ , ma, se approfondita, ci insegna che in altre fonti occorre cercare la veritĂ ultima e trovare le risposte alle domande esistenziali sul senso della vita e sul mistero della morte."
"Things die too you know. And so if they too have to die well there it is it is so much better to let them go.”"
"Knowledge is light and it opens with the owner of wide ranging magazines that truly fill those who seek the truth with joy But if we delve deeper it teaches us that we must seek the truth in other sources Finally we find answers to existential questions about the meaning of life and the mystery of death but it is a comfort to all."
"For a long time the celebrated theory of Boscovich was the ideal of physicists. According to his theory, bodies as well as the ether are aggregates of material points, acting together with forces, which are simple functions of their distances. ...When Lord Salisbury says that nature is a mystery, he means... that this simple conception of Boscovich is refuted almost in every branch of science, the Theory of Gases not excepted. The assumption that the gas molecules are aggregates of material points, in the sense of Boscovich, does not agree with the facts."
"But if some mind very different from ours were to look upon some property of some curved line as we do on the evenness of a straight line, he would not recognize as such the evenness of a straight line; nor would he arrange the elements of his geometry according to that very different system, and would investigate quite other relationships as I have suggested in my notes. We fashion our geometry on the properties of a straight line because that seems to us to be the simplest of all. But really all lines that are continuous and of a uniform nature are just as simple as one another. Another kind of mind which might form an equally clear mental perception of some property of any one of these curves, as we do of the congruence of a straight line, might believe these curves to be the simplest of all, and from that property of these curves build up the elements of a very different geometry, referring all other curves to that one, just as we compare them to a straight line. Indeed, these minds, if they noticed and formed an extremely clear perception of some property of, say, the parabola, would not seek, as our geometers do, to rectify the parabola, they would endeavor, if one may coin the expression, to parabolify the straight line."
"The phrase "ahead of his time" is overused. I'm going to use it anyway. I'm not referring to Galileo or Newton. Both were definitely right on time, neither late or early. Gravity, experimentation, measurement, mathematical proofs … all these things were in the air. Galileo, Kepler, Brahe, and Newton were accepted - heralded! - in their own time, because they came up with ideas that scientific community was ready to accept. Not everyone is so fortunate. Roger Joseph Boscovich … speculated that this classical law must break down altogether at the atomic scale, where the forces of attraction are replaced by an oscillation between attractive and repulsive forces. An amazing thought for a scientist in the eighteenth century. Boscovich also struggled with the old action-at-a-distance problem. Being a geometer more than anything else, he came up with the idea of "fields of force" to explain how forces exert control over objects at a distance. But wait, there's more! Boscovich had this other idea, one that was real crazy for the eighteenth century (or perhaps any century). Matter is composed of invisible, indivisible a-toms, he said. Nothing particularly new there. Leucippus, Democritus, Galileo, Newton, and other would have agreed with him. Here's the good part: Boscovich said these particles had no size; that is, they were geometrical points … a point is just a place; it has no dimensions. And here's Boscovich putting forth the proposition that matter is composed of particles that have no dimensions! We found a particle just a couple of decades ago that fits a description. It's called a quark."
"In 1763 a Croatian Jesuit named Roger Joseph Boscovich (1711 - 1787) identified the ultimate implication of this mechanical atomic theory. One of the crucial aspects of Isaac Newton's laws of motion is their predictive capability. If we know how an object is moving at any instant - how fast, and in which direction - and if, furthermore, we know the forces acting on it, we can calculate its future trajectory exactly. This predictability made it possible for astronomers to use Newton's laws of motion and gravity to calculate, for example, when future solar eclipses would happen. Boscovich realized that if all the world is just atoms in motion and collision, then an all-seeing mind "could, from a continuous arc described in an interval of time, no matter how small, by all points of matter, derive the law [that is, a universal map] of forces itself … Now, if the law of forces were known, and the position, velocity and direction of all the points at any given instant, it would be possible for a mind of this type to foresee all the necessary subsequent motions and states, and to predict all the phenomena that necessarily followed from them.""
"The ancient Greek philosopher, Democritus, propounded an hypothesis of the constitution of matter, and gave the name of atoms to the ultimate unalterable parts of which he imagined all bodies to be constructed. In the 17th century, Gassendi revived this hypothesis, and attempted to develope it, while Newton used it with marked success in his reasonings on physical phenomena; but the first who formed a body of doctrine which would embrace all known facts in the constitution of matter, was Roger Joseph Boscovich, of Italy, who published at Vienna, in 1759, a most important and ingenious work, styled Theoria Philosophiæ Naturalis ad unicam legem virium, in Natura existentium redacta. This is one of the most profound contributions ever made to science; filled with curious and important information, and is well worthy of the attentive perusal of the modern student. In more recent days, the theory of Boscovich has received further confirmation and extension in the researches of Dalton, Joule, Thomson, Faraday, Tyndall, and others."
"Boscovich's ideas exerted a deep influence on the work on the next following generation of physicist ... Our esteem for the purposefulness of Boscovich's great scientific work, and the inspiration behind it, increases the more as we realize the extent to which it served to pave the way for the later developments."
"Wedging old ideas into new thinking is analogous to equating thousand-dollar couture adorned with beads and feathers and then marketed as "tribal fashion" to homespun clothing with true cultural and historical relevance. Ideas about relativity or gravity in ancient times weren’t the same as Einstein’s theory. Art (and science) are in the details. Either elementary matter is extended or it is not. The universe existed forever, or it had a beginning. Atoms of old aren’t the atoms of today. Egg and flour are not a soufflé. Without the appropriate care, it all just collapses."