In many experiments, however, different inductions and frequencies are employed, and the hysteresis-loss is often expressed as ergs per cubic centimetre per cycle and sometimes as horse-power per ton.
The hysteresis-loss in Swedish iron was decreased for inductions below about 9000 and increased for higher inductions; in tungsten-steel, nickel and cobalt the hysteresis-loss was always increased by cooling.
Claude (C. R., 1899, 129, 409) found that for considerable inductions (B =15,000) the permeability and hysteresis-loss remained nearly constant down to - 186°; for weak inductions both notably diminished with temperature.
Steinmetz's formula applies only for very weak inductions when the alloys are at the ordinary temperature, but at the temperature of liquid air it becomes applicable through a wide range of inductions.
The fact warns us against drawing hasty inductions as to relative dates from style and execution.
And iii., Inductions of Ethics and Ethics of Individual Life, 1892; parts v.
Most inductions are made without any assumption of the uniformity of nature; for, whether it is itself induced, or a priori or postulated, this like every assumption is a judgment, and most men are incapable of judgment on so universal a scale, when they are quite capable of induction.
In the same way, to infer a machine from hearing the regular tick of a clock, to infer a player from finding a pack of cards arranged in suits, to infer a human origin of stone implements, and all such inferences from patent effects to latent causes, though they appear to Jevons to be typical inductions, are really deductions which, besides the minor premise stating the particular effects, require a major premise discovered by a previous induction and stating the general kind of effects of a general kind of cause.
In the former it has been noted 9 that Aristotle's illustration does not combine particular facts into a lowest concept, but specific concepts into a generic concept, and 1° that in the construction of definite inductions the ruling thought with Aristotle is already, though vaguely, that of causal relation.
Mill's device rested special inductions of causation upon the laws that every event has a cause, and every cause has always the same effect.
By these momentous inductions the geometrical theory of the solar system was perfected, and a hitherto unimagined symmetry was perceived to regulate the mutual relations of its members.
The latter treatise' analyses the method exemplified in the formation of ideas, in the new inductions of science, and in the applications and systematization of these inductions, all exhibited by the History in the process of development.
The transmutation of Mill's induction of inductions into a postulate is an advance of which the psychological school of logicians have not been slow to make use.