A Quote by Stanislaw Ulam
Mathematics may be a way of developing physically, that is anatomically, new connections in the brain.
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You can expand your awareness in many ways, and as you do, your brain will evolve. It will grow physically by developing new neural pathways, synaptic connections, and even new brain cells. Perhaps more importantly, it will evolve to mirror the expansion of your mind into new, creative areas.
We now know that the way to help a child develop optimally is to help create connections in her brain—her whole brain—that develop skills that lead to better relationships, better mental health, and more meaningful lives. You could call it brain sculpting, or brain nourishing, or brain building. Whatever phrase you prefer, the point is crucial, and thrilling: as a result of the words we use and the actions we take, children’s brains will actually change, and be built, as they undergo new experiences.
It used to be thought that you stopped making new neural connections in your youth and from then on your brain was fixed and it was downhill all the way. But in fact as we know from our own experience we can keep on learning and learning means changing our brain on a physical level.
To build and strengthen new connections, the brain needs the challenge of fresh and unusual stimuli. .... There's a lot of evidence to suggest that repetition is bad for brain health, and novelty is good.
The brain is really hard to see. The whole thing is very large - the human brain is several pounds in weight - but the connections between brain cells, known as synapses, are really tiny. They're nanoscale in dimension. So if you want to see how the cells of the brain are connected in networks, you have to see those connections, those synapses.
On Sunday, I think the most important thing for me is to just turn my brain off. The idea of not trying is the key, because that's where you're relaxed enough to let your brain make new connections.
A typical neuron makes about ten thousand connections to neighboring neurons. Given the billions of neurons, this means there are as many connections in a single cubic centimeter of brain tissue as there are stars in the Milky Way galaxy.
Around a quarter of cancers eventually spread to the brain. As people live longer, their risk of developing cancer increases; as cancer survival rates improve, their risk of developing secondary tumours in the brain increases. We can therefore expect increasing numbers of brain-tumour patients.
Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.
Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible whole... May the new century bring with it ingenious champions and many zealous and enthusiastic disciples.
Picture your brain forming new connections as you meet the challenge and learn. Keep on going.
All of imagination - everything that we think, we feel, we sense - comes through the human brain. And once we create new patterns in this brain, once we shape the brain in a new way, it never returns to its original shape.
May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.
We learn best with focused attention. As we focus on what we're learning, the brain maps that information on what we already know making new neural connections
We had principles in mathematics that were granted to be absolute in mathematics for over 800 years, but new science has gotten rid of those absolutism, gotten forward other different logics of looking at mathematics, and sort of turned the way we look at it as a science altogether after 800 years.
One may say that mathematics talks about the things which are of no concern to men. Mathematics has the inhuman quality of starlight - brilliant, sharp but cold ... thus we are clearest where knowledge matters least: in mathematics, especially number theory.
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