First-principles Sentence Examples

Peacock's original contributions to mathematical science were concerned chiefly with the philosophy of its first principles.

To revise one's first principles is to be an intuitionalist no longer.

After completing his system (1896) Spencer continued to revise it, and brought out new editions of the Biology (1898-1899) and First Principles (1900).

It may, however, be granted that the possibility of lapse throws us open to the objections, ingenuous or disingenuous, of the sceptic; and we must remain exposed to them so long as we deal with our first principles as so many isolated axioms or intuitions.

But the process of selfcorrection referred to points to another proof - the only ultimately satisfactory proof of which first principles admit.

Besides those already mentioned, his works include An Outline of the First Principles of Horticulture (1832), An Outline of the Structure and Physiology of Plants (1832), A Natural System of Botany (1836), The Fossil Flora of Great Britain (with William Hutton, 1831-1837), Flora Medica (1838), Theory of Horticulture (1840), The Vegetable Kingdom (1846), Folia Orchidacea (1852), Descriptive Botany (1858).

But if first principles are disregarded, and a follower of hounds believes in the system "it doesn't matter how you ride so long as you stick on," he will not only always be a "sight" but a menace in the hunting field.

It is therefore nothing more than a literary accident that the term has been applied to that department or discipline of philosophy which deals with first principles.

Similarly, both in First Principles and in the Principles of Psychology, he assigns to us, in addition to our definite consciousness of our subjective affections, an indefinite consciousness of something out of consciousness, of something which resists, of objective existence.

At a time when social subjects were as a rule treated empirically, he brought first principles to bear at every point.

His chief treatise is entitled Difficulties and Solutions of First Principles ('A7ropiae Kai Xuo - Irepi TWV 7rpcorwv apxWV).

Hence the importance of determining how first principles are established.

In any case, however, the problem as to first principles remains fundamental.

Yet vous, intelligence, is the principle of first principles.

We cannot take first principles " as the bare precipitate of a progressively refined analysis " 3 nor on the other as constitutive a.

Leibnitz's treatment of the primary principles among truths of reason as identities, and his examples drawn inter alia from the " first principles " of mathematics, influenced Kant by antagonism.

Motion of a Solid of Revolution.In the case of a solid of revolution, or (more generally) whenever there is kinetic syminetry about an asks through the mass-centre, or through a fixec point 0, a number of interesting problems can be treated almost directly from first principles.

His whole conception of Prima Philosophia should be compared with such a modern work as the First Principles of Herbert Spencer.

It is compelled to accept its first principles on trust from the science in which it is employed; it cannot cope with the subtlety of nature; and it is radically vitiated by being founded on hastily and inaccurately abstracted notions of things.

Some, however, accepted three first principles (the evil, the just, the good); others held by two, but regarded the Demiurge as the god of evil, i.e.

He became the founder of logic, psychology, ethics and aesthetics as separate sciences; while he prefixed to all such (comparatively) special inquiries the investigation of the ultimate nature of existence as such, or of those first principles which are common to, and presupposed in, every narrower field of knowledge.

It will be seen that neither Reid nor Stewart offers more than a very meagre and tentative contribution to that ethical science by which, as they maintain, the received rules of morality may be rationally deduced from self-evident first principles.

But although Green's loyalty to the primary facts of the moral consciousness prevented him from constructing a rationalistic system of morals based solely upon the conclusions of metaphysics, it was perhaps inevitable that the revival of interest in metaphysics so prominent in his own speculations should lead to a more daring criticism of ethical first principles in other writers.

But the publication of Appearance and Reality by the same author marked a great advance in philosophical criticism of ethical postulates, and a growing dissatisfaction with current reconciliations between moral first principles and the conclusions of metaphysics.

For whatever may be the real character of the interrelation of moral and metaphysical first principles it is obvious that Taylor's own dissatisfaction with current moral principles arises from an inability to believe in their ultimate rationality, i.e.

And the need which most philosophers have felt for some philosophical foundation for morality arises, not from any desire to subordinate moral insight to speculative theory, but because the moral facts themselves are inexplicable except in the light of first principles which metaphysics alone can criticize.

In political economy he was a Utilitarian on the lines of Mill and Bentham; his work was the careful investigation of first principles and the investigation of ambiguities rather than constructive.

During the ensuing two years (1589-1591) he carried on that remarkable series of experiments by which he established the first principles of dynamics and earned the undying hostility of bigoted Aristotelians.

Several of the group came fearing that it would all be too high-powered for the inexperienced, but Jonathan took us from first principles.

Everything is meaningless ' is the books opening tirade and the argument flows straight from these first principles.

The other subjects are Marriage (yabaK aoyos), Continence, the Duties of Bishops, Presbyters, Deacons and Widows, Prophecy, the Soul, the Transmigration of the Soul and the Devil, Angels, the Origin of the World, First Principles and the Divinity of the Logos, Allegorical Interpretations of Statements made with regard to God's anger and similar affections, the Unity of the Church, and the Resurrection.

In the two earliest books, accordingly, he lays down and largely illustrates the first principles of being with the view of showing that the world is not governed by capricious agency, but has come into existence, continues in existence, and will ultimately pass away in accordance with the primary conditions of the elemental atoms which, along with empty space, are the only eternal and immutable substances.

Rudimentary teaching in reading, occasionally writing, and the first principles of Lutheran faith are given in the maternal house, or in " maternal schools," or by ambulatory schools under the control of the clergy, who make the necessary examination in the houses of every parish.