That from the outset they expect or even impose all the properties of finite numbers upon the numbers in question, while on the other hand the infinite numbers, if they are to be considered in any form at all, must (in their contrast to the finite numbers) constitute an entirely new kind of number, whose nature is entirely dependent upon the nature of things and is an object of research, but not of our arbitrariness or prejudices.
Georg CantorRelated topics
arbitrariness contrast expect form impose kind nature number outset question research while thingsRelated quotes
Entities other than Brahman can be objects of such cognitions of the nature of joy only to a finite extent and for limited duration. But Brahman is such that cognizing of him is an infinite and abiding joy. It is for this reason that the shruti [scripture] says, `Brahman is bliss' (Taittitriya Upanishad II.6.) Since the form of cognition as joy is determined by its object, Brahman itself is joy.
Ramanuja
When we attempt to conceive the number of particles in an atmosphere, it is somewhat like attempting to conceive the number of stars in the universe; we are confounded with the thought. But if we limit the subject, by taking a given volume of any gas, we seem persuaded that, let the divisions be ever so minute, the number of particles must be finite; just as in a given space of the universe, the number of stars and planets cannot be infinite.
John Dalton
Legal plunder can be committed in an infinite number of ways. Thus we have an infinite number of plans for organizing it: tariffs, protection, benefits, subsidies, encouragements, progressive taxation, public schools, guaranteed jobs, guaranteed profits, minimum wages, a right to relief, a right to the tools of labor, free credit, and so on, and so on. All these plans as a whole - with their common aim of legal plunder - constitute socialism.
Frédéric Bastiat
What I declare and believe to have demonstrated in this work as well as in earlier papers is that following the finite there is a transfinite (transfinitum)--which might also be called supra-finite (suprafinitum), that is, there is an unlimited ascending ladder of modes, which in its nature is not finite but infinite, but which can be determined as can the finite by determinate, well-defined and distinguishable numbers.
Georg Cantor
Our vulnerability [ to ressentiment], is unavoidable (and probably incurable) in a kind of society in which relative equality of political and other rights and formally acknowledged social equality go hand in hand with enormous differences in genuine power, possessions and education; a society in which everyone "has the right” to consider himself equal to everybody else, while in fact being unequal to them.
Zygmunt Bauman