If you disregard the very simplest cases there is in all of mathematics not a single infinite series whose sum has been rigorously determined. In other wordsthe most important parts of mathematics stand without a foundation.
The known is finite the unknown infinite; intellectually we stand on an islet in the midst of an illimitable ocean of inexplicability. Our business in every generation is to reclaim a little more land.
Our minds are finite and yet even in these circumstances of finitude we are surrounded by possibilities that are infinite and the purpose of life is to grasp as much as we can out of that infinitude.
If you disregard the very simplest cases there is in all of mathematics not a single infinite series whose sum has been rigorously determined. In other wordsthe most important parts of mathematics stand without a foundation.
If a thing loves it is infinite.
The infinite is a concept which corrupts and upsets all others.
We presuppose two things: that there is yet to be learned infinitely more than is now known and that man can learn it.
The infinite! No other question has ever moved so profoundly the spirit of man.
More gold has been mined from the thoughts of men than has been taken from the earth.
The known is finite the unknown infinite; intellectually we stand on an islet in the midst of an illimitable ocean of inexplicability. Our business in every generation is to reclaim a little more land.
Our minds are finite and yet even in these circumstances of finitude we are surrounded by possibilities that are infinite and the purpose of life is to grasp as much as we can out of that infinitude.