Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.
In this age of specialization, I sometimes think of myself as the last 'generalist' in economics, with interests that range from mathematical economics down to current financial journalism. My real interests are research and teaching.
Whatever may be the merits of a religious system, its effects upon the mass of mankind must depend in an important degree upon its teachers. All instruction and all truth, except simple mathematical truth, is modified by the medium through which it is conveyed.
Some people are better at maths than others: no one thinks you can be 'taught' to be a mathematical genius. And no one thinks of teaching, in that context, as a kind of forcing of the will. But there seems to be an idea of writing as an intuitive pastime which is being dishonestly subjected to counterintuitive methods.
From Roger Bacon, the 13th century Franciscan who pioneered the scientific method, to George Lemaitre, the 20th century Belgian priest who first developed a mathematical foundation for the 'Big Bang,' people of faith have played a key role in advancing scientific understanding.
Learning certain things purely through memory is related to the developmental forces that are present between the sixth or seventh year and the fourteenth year of life. This quality of human nature is what mathematical instruction should be based on.
Alan Turing gave us a mathematical model of digital computing that has completely withstood the test of time. He gave us a very, very clear description that was truly prophetic.
