" Mathematical reasoning may be regarded rather schematically as the exercise of a combination of two facilities, which we may call intuition and ingenuity. The activity of the intuition consists in making spontaneous judgements which are not the result of conscious trains of reasoning... The exercise of ingenuity in mathematics consists in aiding the intuition through suitable arrangements of propositions, and perhaps geometrical figures or drawings." --- Alan Turing (see Alan M. Turing: Centenary Edition by Sara Turing)
"I believe that this danger of the mathematician making mistakes is an unavoidable corollary of his power of sometimes hitting upon an entirely new method. This seems to be confirmed by the well known fact that the most reliable people will not usually hit upon really new methods."
--- Alan Turing (see Alan M. Turing: Centenary Edition by Sara Turing)
“Reality is what we take to be true.
What we take to be true is what we believe.
What we believe is based upon our perceptions.
What we perceive depends upon what we look for.
What we look for depends upon what we think.
What we think depends upon what we perceive.
What we perceive determines what we believe.
What we believe determines what we take to be true.
What we take to be true is our reality.” ― Gary Zukav, Dancing Wu Li Masters
“The Wu Li Masters know that "science" and "religion" are only dances,
and that those who follow them are dancers.
The dancers may claim to follow "truth" or claim to seek "reality"
but the Wu Li Masters know better.
They know that the true love of all dancers is dancing.” ― Gary Zukav, Dancing Wu Li Masters
“The importance of nonsense hardly can be overstated. The more clearly we experience something as “nonsense”, the more clearly we are experiencing the boundaries of our own self-imposed cognitive structures. “Nonsense” is that which does not fit into the prearranged patterns which we have superimposed on reality. There is no such thing as “nonsense” apart from a judgmental intellect which calls it that.
True artists and true physicists know that nonsense is only that which, viewed from our present point of view, is unintelligible. Nonsense is nonsense only when we have not yet found that point of view from which it makes sense.” ― Gary Zukav, Dancing Wu Li Masters
"What does physics have in common with enlightenment? Physics and enlightenment apparently belong to two realms which are forever separated. One of them (physics) belongs to the external world of physical phenomena and the other of them (enlightenment) belongs to the internal world of perceptions. A closer examination, however, reveals that physics and enlightenment are not so incongruous as we might think. First, there is the fact that only through our perceptions can we observe physical phenomena. In addition to this obvious bridge, there are other intrinsic similarities.
Enlightenment entails casting off the bonds of concept ("veils of ignorance") in order to perceive directly the inexpressible nature of undifferentiated reality. "Undifferentiated reality" is the same reality that we are part of now, as always have been a part of, and always will be a part of. The difference is that we do not look at it the same way as an enlightened being. As everyone knows(?), words only represent (re-present) something other than themselves. They are not real things. They are only symbols. According to the philosophy of enlightenment, everything (everything) is a symbol. The reality of symbols is an illusory reality. Nonetheless, it is the one in which we live.
Although undifferentiated reality is inexpressible, we can talk around it using more symbols. The physical world as it appears to the unenlightened consists of many separate parts. These parts, however, are not really separate. According to mystics from around the world, each moment of enlightenment (grace/insight/samadhi/satori) reveals that everything—all the separate parts of the universe— are manifestation of the same whole. There is only one reality, and it is whole and unified. It is one." ― Gary Zukav, Dancing Wu Li Masters
"I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use. "
-- G. Galileo
"What I am really interested in is in knowing whether God could have created the world in a different way; in other words, whether the requirement of logical simplicity admits a margin of freedom." ----A. Einstein
"Common sense is the collection of prejudices acquired by the age of eighteen." ----A. Einstein.
"When in doubt, take a nap" ---- Rajesh R. Parwani