Individuals are thought of as members of a family, state or religion, rather than as entities with a destiny and rights of their own.
If Fx is true when, and only when, x is determined to be either 4) or some other propositional function extensionally equivalent to (A, then the proposition F4 is of the form which is ordinarily recognized as being about the class determined by )x taken in extension - that is, the class of entities for which 4)x is a true proposition when x is determined to be any one of them.
Consisting at first of various loosely connected entities, naturally centrifugal, but temporarily drawn together by the urgent need of combination against a superior foe, who threatened them separately with extinction.
These epistles took their form at once from a natural progression of thought and from a new phase of controversy, a sort of Gnosticizing theory, or theories, which perverted Christian practice and impaired the supremacy of Christ by placing other beings or entities by His side.
The Rabbis apparently dreaded the possibility of such terms becoming hypostasized into personal entities distinct from God.
The Ideas of Plato are no longer self-subsistent entities; they are the elements which constitute the content of spiritual activity.
We find ourselves on the verge of a system of abstractions, or " attributes turned into entities," as barren as any excogitated in medieval times.
I find it is funded by corporations, do-gooders, trust funds, individuals, and off shore ghost entities... unfortunately, too many names to pursue each and every one.
I've tried researching this philanthropist's various entities but they are multitudinous and present a task I'd prefer not to undertake.
We were competing entities, trying to influence someone.
Even apart from the impossibility of conceiving a whole of relations which are relations and nothing else (this objection is perhaps largely verbal), no explanation is given of the fact (obvious in experience) that the spiritual entities of which the Universe is composed appear material.
The arithmetic of rational numbers is now established by means of appropriate definitions, which indicate the entities meant by the operations of addition and multiplication.
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.
Note that classes are here required in extension, so that the class of human beings and the class of rational featherless bipeds are identical; similarly for relations, which are to be determined by the entities related.
3 All the contradictions can be avoided, and yet the use of classes and relations can be preserved as required by mathematics, and indeed by common sense, by a theory which denies to a class - or relation - existence or being in any sense in which the entities composing it - or related by it - exist.
For example, the application of the theory of cardinal numbers to classes of physical entities involves in practice some process of counting.
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.
In pure mathematics the hypotheses which a set of entities are to satisfy are given, and a group of interesting deductions are sought.
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.
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.
It may be convenient to use the terms "vitality" and "vital force" to denote the causes of certain great groups of natural operations, as we employ the names of "electricity" and "electrical force" to denote others; but it ceases to be proper to do so, if such a name implies the absurd assumption that "electricity" and "vitality" are entities playing the part of efficient causes of electrical or vital phenomena.
Discovery in these various directions then led physicians to regard fever and inflammation not as separable entities, but as fluctuating symptomgroups, due to swervings of function from the normal balance under contingent forces.
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.
The commissioners, though differing on several points, were practically agreed on the following five conclusions: (1) that Great Britain and Ireland must, for the purposes of a financial inquiry, be considered as separate entities; (2) that the Act of Union imposed upon Ireland a burden which, as events showed, she was unable to bear; (3) that the increase of taxation laid upon Ireland between 1853 and 1860 was not justified by the then existing circumstances; (4) that identity of rates of taxation did not necessarily involve equality of burden; (5) that, while the actual tax revenue of Ireland was about one-eleventh of that of Great Britain, the relative taxable capacity of Ireland was very much smaller, and was not estimated by any of the commissioners as exceeding one-twentieth.
But, nevertheless, the new light thrown upon the unity of the self and the more careful and accurate scrutiny made by recent psychologists of the phenomena of decision have rendered it no longer possible either for determinists to deny the fact of choice (whatever be their theory as to its nature) or for libertarians to regard the self or the will as isolated from and unaffected by other mental constituents and antecedents, and hence, by an appeal to wholly fictitious entities, to prove the truth of freedom.
Hence he attains salvation, being delivered from sin and fear and death, for the divine attributes are not ontological entities to be discussed and defined in the schools, but they are realities, entering into the practical daily life.
4 Whether they could be regarded as so many manifestations of a single deity or as really distinct entities, there were at all events similar and well understood relations between each and its group; and although the cult was nature-worship and was attended with a licentiousness which drew forth the denunciations of the prophets, this is only one aspect of the local deity's place in the religious conceptions of his circle.
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A peculiarity of his thought was the realistic nature of his spiritualism: his abstractions are all real existences; his spiritual entities are real and corporeal; his truth is actual being.