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modes
«What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.»
Author: Georg Cantor
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About:
Infinity,
Mathematics
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Keywords:
ascending,
ascends,
assert,
asserts,
defined,
definite,
demonstrated,
distinguishable,
earlier,
finite,
Finite number,
following,
infinite number,
modes,
numbers,
supra,
unbounded,
well-defined
«The question is not whether a community lives or dies, the question is on what plane does it live. There are different modes of survival. But all are not equally honorable. For an individual as well as a society, there is a gulf between merely living and living worthily. To fight in a battle and live in a glory is one mode. To beat a retreat to surrender and to live the life of a captive is also a mode of survival.»
«The task of a university is the creation of the future, so far as rational thought and civilized modes of appreciation can affect the issue»
«The various modes of worship which prevailed in the Roman world were all considered by the people as equally true; by the philosopher as equally false; and by the magistrate as equally useful»
«The human condition is such that pain and effort are not just symptoms which can be removed without changing life itself; they are the modes in which life itself, together with the necessity to which it is bound, makes itself felt. For mortals, the ''easy life of the gods'' would be a lifeless life.»
«There is a self-satisfied dogmatism with which mankind at each period of its history cherishes the delusion of the finality of existing modes of knowledge.»
«Time and space are modes by which we think and not conditions in which we live»
«The unleashed power of the atom has changed everything save our modes of thinking and we thus drift toward unparalleled catastrophe.»
«The principles and modes of governments are too important to be disregarded by an inquisitive mind and I think are well worthy a critical examination by all students that have health and leisure»