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Murray Gell-Mann

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You don't need something more to get something more. That's what emergence means. Life can emerge from physics and chemistry plus a lot of accidents. The human mind can arise from neurobiology and a lot of accidents, the way the chemical bond arises from physics and certain accidents. Doesn't diminish the importance of these subjects to know they follow from more fundamental things plus accidents.
--
TED talk on beauty and truth in physics — video TC 14m48s (March 2007)

 
Murray Gell-Mann

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Evolution is all about processes that almost never happen. Every birth in every lineage is a potential speciation event, but speciation almost never happens, not once in a million births. Mutation in DNA almost never happens -- not once in a trillion copyings -- but evolution depends on it. Take the set of infrequent accidents -- things that almost never happen -- and sort them into the happy accidents, the neutral accidents, and the fatal accidents; amplify the effects of the happy accidents -- which happens automatically when you have replication and competition -- and you get evolution.

 
Daniel C. Dennett
 

The case for individual freedom rests chiefly on the recognition of the inevitable and universal ignorance of all of us concerning a great many of the factors on which the achievement of our ends and welfare depend. It is because every individual knows so little and, in particular, because we rarely know which of us knows best that we trust the independent and competitive efforts of many to induce the emergence of what we shall want when we see it.
Humiliating to human pride as it may be, we must recognize that the advance and even the preservation of civilization are dependent upon a maximum of opportunity for accidents to happen. These accidents occur in the combination of knowledge and attitudes, skills and habits, acquired by individual men and also when qualified men are confronted with the particular circumstances which they are equipped to deal with. Our necessary ignorance of so much means that we have to deal largely with probabilities and chances.
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Friedrich Hayek
 

I don't believe in accidents. There are only encounters in history. There are no accidents.

 
Elie Wiesel
 

Physics is the Science of Matter; Metaphysics the Science of Mind — the Science of Being, apart from accidents and properties — Ontology.

 
Horace Mann
 

A great surgeon performs operations for stone by a single method; later he makes a statistical summary of deaths and recoveries, and he concludes from these statistics that the mortality law for this operation is two out of five. Well, I say that this ratio means literally nothing scientifically and gives us no certainty in performing the next operation; for we do not know whether the next case will be among the recoveries or the deaths. What really should be done, instead of gathering facts empirically, is to study them more accurately, each in its special determinism….to discover in them the cause of mortal accidents so as to master the cause and avoid the accidents.

 
Claude Bernard
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