16 APR 2018 by ideonexus

## Euclid's Elements as a Game

"If video games had been around in 350 BC, Euclid would have made a video game," Devlin told me. The thirteen books of Euclid's Elements would have been the supplemental material, a PDF file that you could read if you wanted to. "People think I'm joking—I absolutely mean that. Euclid would not have written a textbook, he would have designed a video game." Peek at any of his proofs, Devlin said, and you'll quickly find that the great Greek mathematician, often called the father of geometry, ...24 JAN 2015 by ideonexus

## Superstring Theory

It is time now to try to describe what a superstring really is. Here I run into the same difficulty which the geometer Euclid encountered 2,200 years ago. Euclid was trying to convey to his readers his idea of a geometrical point. For this purpose he gave his famous definition of a point: "A point is that which has no parts, or which has no magnitude." This definition would not be very helpful to somebody who was ignorant of geometry and wanted to understand what a point was. Euclid's notion ...26 MAR 2013 by ideonexus

## Mathematics Lies Outside Ourselves

I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations. * * * Let us suppose that I am giving a lecture on some system of geometry, such as the ordinary Euclidean geometry, and that I draw figures on the blackboard to stimulate the imagination of my audience, rough drawings of straight lines or ...When teaching mathematics, it does not matter how nice the drawings or the teaching space, the ideas are what's important and they are independent of the teaching method.

21 JUN 2012 by ideonexus

## Evolving Levels of Thought

Gradually, at various points in our childhoods, we discover different forms of conviction. There’s the rock-hard certainty of personal experience (“I put my finger in the fire and it hurt,”), which is probably the earliest kind we learn. Then there’s the logically convincing, which we probably come to first through maths, in the context of Pythagoras’s theorem or something similar, and which, if we first encounter it at exactly the right moment, bursts on our minds like sunrise with...As we grow older, based on experience.

08 JUN 2012 by ideonexus

## Imagination is Discovery

Imagination is the Discovering Faculty, pre-eminently ... It is that which feels & discovers what is, the REAL which we see not, which exists not for our senses... Mathematical science shows what is. It is the language of unseen relations between things... Imagination too shows what is ... Hence she is or should be especially cultivated by the truly Scientific, those who wish to enter into the worlds around us!Finding things that exist, but we cannot find except through mathematics.

07 JUN 2012 by ideonexus

## The Language of Science is Universal

The language of science is universal, and perhaps scientists have been the most international of all professions in their outlook... Every time you scientists make a major invention, we politicians have to invent a new institution to cope with it—and almost invariably, these days, it must be an international institution.Thus scientific institutions must be international.