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What I assert and believe to have demonstrated in this and earlier works is that following the finite there is read more
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.
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully read more
The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method read more
The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite.
A set is a Many that allows itself to be thought of as a One.
A set is a Many that allows itself to be thought of as a One.
If a thing loves, it is infinite.
If a thing loves, it is infinite.
A billion stars go spinning through the night, blazing high above your head. But in you is the presence that read more
A billion stars go spinning through the night, blazing high above your head. But in you is the presence that will be, when all the stars are dead.