But the desire to obtain general enunciations of theorems without exceptional cases has led mathematicians to employ entities of ever-ascending types of elaboration.
These entities are not created by mathematicians, they are employed by them, and their definitions should point out the construction of the new entities in terms of those already on hand.
As the world grows wealthier, I believe more individuals and non-governmental entities with more innovative solutions will roll up their sleeves to tackle our problems.
Arrhenius pointed out that these exceptions would be brought into line if the ions of electrolytes were imagined to be separate entities each capable of producing its own pressure effects just as would an ordinary dissolved molecule.
Thus defined, idealism is opposed to ordinary common-sense dualism, which regards knowledge or experience as the result of the more or less accidental relation between two separate and independent entities - the mind and its ideas on one side, the thing with its attributes on the other - that serve to limit and condition each other from without.
When once the fixed conditions which any hypothetical group of entities are to satisfy have been precisely formulated, the deduction of the further propositions, which also will hold respecting them, can proceed in complete independence of the question as to whether or no any such group of entities can be found in the world of phenomena.
As regards the existence (if we may so speak) of the universal in mente, Occam indicates his preference, on the ground of simplicity, for the view which identifies the concept with the actus intelligendi, rather than for that which treats ideas as distinct entities within the mind.
The Rabbis apparently dreaded the possibility of such terms becoming hypostasized into personal entities distinct from God.
Divorced from this they are fairly stigmatized as mental figments or branded as ghostly entities that can but block the path.
I've tried researching this philanthropist's various entities but they are multitudinous and present a task I'd prefer not to undertake.