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Omnia vincit amor

Acacia: “Love conquers all. Its victorious.”

Lisa: “Tenderness is the Higher Order.”

And I concluded: “Openness is strength of being vulnerable.”

Lisa tapped a screen, made certain symbols with her finger on it, and voila. The intuitive system was online.

She closed her eyes focusing her touch sense.

The highly sensitive sensors immediately relayed Lisa’s signals towards the Grid. She influenced, interacted with the New Kind of Mathematics which made the network, this Grid, her magic wand. Controlling satellites and so much more.

She weaved herself, expanded her being, across the boundaries of her body. Still, she made sure she was aware of her bodily presence. Acacias also confirmed her, by touching her shoulder with her hand.

Lisa: “Its non-human.”

I looked at the screen. And saw different types of information. Lisa wasn’t really interested in the non-human entity, she became curious about the electric sensitive Grid itself. I saw it on the screen.

She was processing different types of information:

Tesla believed that Einstein was taking us intellectually in the wrong direction.
– David L. Goodstein, Professor of Physics, California Institute of Technology (Source)

Scientists today wonder through equation after equation that have no relation to reality. If we were to release the energy of atoms, instead of a blessing it might bring disaster to mankind
– Nikola Tesla

He died in poverty, but he was one of the most useful and successful man who ever lived. Were we to eliminate from our industrial world the result of Tesla’s work. The wheel of industry would seize to turn and our electric plains and cars would stop. Our towns would be dark. Our mills and factories dead-night. But Tesla is not dead. The real, the important part of Tesla lives in his achievement, which is great and integral part of our civilization. Of our daily lives, of our current war effort.
– Fiorello H. La Guardia, Mayor of New York, jan 10, 1943

We have to learn again that science without contact with experiments is an enterprise which is likely to go completely astray into imaginary conjecture.
– Hannes Alfvén

Attitudes of mathematicians

Mathematicians often seem to feel that computer experimentation is somehow less precise than their standard mathematical methods. It is true that in studying questions related to continuous mathematics, imprecise numerical approximations have often been made when computers are used (see above). But discrete or symbolic computations can be absolutely precise. And in a sense presenting a particular object found by experiment (such as a cellular automaton whose evolution shows some particular property) can be viewed as a constructive existence proof for such an object. In doing mathematics there is often the idea that proofs should explain the result they prove–and one might not think this could be achieved if one just presents an object with certain properties. But being able to look in detail at how such an object works will in many cases provide a much better understanding than a standard abstract mathematical proof. And inevitably it is much easier to find new results by the experimental approach than by the traditional approach based on proofs.
– Stephen Wolfram, A New Kind of Science, Page 899

…What I do in this book–and started in the early 1980s–is, however, rather different: I use computer experiments to look at questions and systems that can be viewed as having a mathematical character, yet have never in the past been considered in any way by traditional mathematics.
– Stephen Wolfram, A New Kind of Science, Page 899

I discuss the implications of this book for the foundations of mathematics mainly on pages 772-821 and in the rather extensive corresponding notes. With a sufficiently general definition of mathematics, however, the whole core of the book can in fact be viewed as a work of experimental mathematics. And even with a more traditional definition, this is at least true of much of my discussion of systems based on numbers in Chapter 4. The notes to almost all chapters of the book contain a great many new mathematical results, mostly emerging from my analysis of some of the simpler behavior considered in the book. Pages 606-620 and 737-750 discuss in general the capabilities of mathematical analysis, while pages 588-597 address the foundations of statistics. Note that some ideas and results highly relevant to current frontiers in mathematics appear in some rather unexpected places in the book. Specific examples include the parameter space sets that I discuss in connection with shapes of plant leaves on page 407, and the minimal axioms for logic that I discuss on page 810. A more general example is the issue of smooth objects arising from combinatorial data that I discuss in Chapter 9 in connection with the nature of space in fundamental physics.
– Stephen Wolfram, A New Kind of Science, Page 863

Beneath all the sophisticated capabilities of Mathematica lies a remarkably simple basic structure. The key idea is to represent data of any kind by a symbolic expression of the general form head[arg1, arg2, …]. (a+b^2 is thus Plus[a, Power[b, 2]], {a, b, c} is List[a, b, c] and a=b+1 is Set[a, Plus[b, 1]].) The basic action of Mathematica is then to transform such expressions according to whatever rules it knows. Most often these rules are specified in terms of Mathematica patterns–expressions in which _ can stand for any expression.
– Stephen Wolfram, A New Kind of Science, Page 1103

Somewhere in the world a fusion station became active. It was part of DESERTEC. Lisa felt a burst of energy rippling through the electric network.

Lisa: “I’m fine.”

I looked at the screen and to my amazement…

Lisa: “I sense Cyc. Its healing.”

Cyc: “I’m fine Sir. Need any assistance?”

This Cyc sounded different, it was different than the one I used to know. Its voice was warm.

“Not yet Cyc, not yet. Just feel and observe. Appreciate the human subjective.”

It didn’t answer but made the screens glow. Lisa started to giggle.

All was fine.


( To be continued… )