James Gregory attempted a proof of its impossibility in Vera Circuli et Hyperbolae Quadratura ( The True Squaring of the Circle and of the Hyperbola ) in 1667.

In 1667, Gregory issued his Vera Circuli et Hyperbolae Quadratura, in which he showed how the areas of the circle and hyperbola could be obtained in the form of infinite convergent series.

Let us quote once more from R. G. Collingwood: `` History is properly concerned with the actions of human beings Regarded from the outside, an action is an event or series of events occurring in the physical world ; ;

The damage to human germ plasm would be such that in the next few generations 160,000 children around the world would be born with gross physical or mental defects.

During his presidency, the company's physical plant was enormously expanded, and the length and breadth of the Brown & Sharpe machine tool line became the greatest in the world.

It has become painfully clear that the very attempt to make the language of social research free of values by erecting mathematical and physical models, is itself a conditioned response to a world which pays a premium price for technological manipulation.

In reincarnation, spiritual development continues after death as the deceased begins another earthly life in the physical world, acquiring a superior grade of consciousness and altruism by means of successive reincarnations.

Animism encompasses the beliefs that there is no separation between the spiritual and physical ( or material ) world, and souls or spirits exist, not only in humans, but also in all other animals, plants, rocks, geographic features such as mountains or rivers, or other entities of the natural environment.

Assault in some US jurisdictions is defined more broadly still as any intentional physical contact with another person without their consent ; but in the majority of the United States, and in England and Wales and all other common law jurisdictions in the world, this is defined instead as battery.

Alexander was concerned with filling the gaps of the Aristotelian system and smoothing out its inconsistencies, while also presenting a unified picture of the world, both physical and ethical.

Idealists are skeptics about the physical world, maintaining either: 1 ) that nothing exists outside the mind, or 2 ) that we would have no access to a mind-independent reality even if it may exist ; the latter case often takes the form of a denial of the idea that we can have unconceptualised experiences ( see Myth of the Given ).

Another way of making the point is that if the Platonic world were to disappear, it would make no difference to the ability of mathematicians to generate proofs, etc., which is already fully accountable in terms of physical processes in their brains.

A more radical defense is to deny the separation of physical world and the platonic world, i. e. the mathematical universe hypothesis.

Some Westerners have teamed up with shamans in the Amazon rainforest regions, forming ayahuasca healing retreats that claim to be able to cure mental and physical illness and allow communication with the spirit world.

In its investigations of the spiritual world, anthroposophy aims to attain the precision and clarity attained by the natural sciences in their investigations of the physical world.

In Theosophy, Steiner suggested that human beings unite a physical body of a nature common to ( and that ultimately returns to ) the inorganic world ; a life body ( also called the etheric body ), in common with all living creatures ( including plants ); a bearer of sentience or consciousness ( also called the astral body ), in common with all animals ; and the ego, which anchors the faculty of self-awareness unique to human beings.

In these final pieces he offered a critique of Western science in which he suggested that non-European languages often referred to physical phenomena in ways that more directly reflected aspects of reality than many European languages, and that science ought to pay attention to the effects of linguistic categorization in its efforts to describe the physical world.

Whorf argued that paying attention to how other physical phenomena are described in the study of linguistics could make valuable contributions to science by pointing out the ways in which certain assumptions about reality are implicit in the structure of language itself, and how language guides the attention of speakers towards certain phenomena in the world which risk becoming overemphasized while leaving other phenomena at risk of being overlooked.

Being to Hobbes ( and the other empiricists ) is the physical universe: The world, ( I mean ... the Universe, that is, the whole masse of all things that are ) is corporeall, that is to say, Body ; and hath the dimension of magnitude, namely, Length, Bredth and Depth: also every part of Body, is likewise Body ... and consequently every part of the Universe is Body, and that which is not Body, is no part of the Universe: and because the Universe is all, that which is no part of it is nothing ; and consequently no where.

* The term bondage is also used figuratively to mean spiritual attachment, such as to the physical world, or an evil compelling force, such as original sin

To writers on spiritual or religious topics, it frequently connotes the relationship between the mind and God, or the relationship between the mind and deeper truths that are thought to be more fundamental than the physical world.

Phenomenology is a method of inquiry that attempts to examine the structure of consciousness in its own right, putting aside problems regarding the relationship of consciousness to the physical world.

E. T. Jaynes, from a Bayesian point of view, pointed out probability is a measure of a human's information about the physical world.

The IUT claims that the physical world is governed by an infinite universal causality.

Ask any group of ballerinas to do ten push-ups or three chin-ups and the results, considering the amount of physical training they have had, will be very disappointing.

The first three of these prizes are awarded for eminence in physical science, in chemistry and in medical science or physiology ; the fourth is for literary work " in an ideal direction " and the fifth prize is to be given to the person or society that renders the greatest service to the cause of international fraternity, in the suppression or reduction of standing armies, or in the establishment or furtherance of peace congresses.

These have been grouped into three domains: physical acoustics, biological acoustics and acoustical engineering.

The Prophet Joseph Smith taught that the Father, the Son, and the Holy Ghost are three separate and distinct entities, with the Father and the Son possessing physical bodies of flesh and bone but the Holy Ghost existing only as a spirit, enabling it to dwell within us.

Problems and Solutions ( Quaestiones ) consists of three books which, although termed " problems and solutions of physical questions ," treat of subjects which are not all physical, and are not all problems.

The no-hair theorem states that, once it achieves a stable condition after formation, a black hole has only three independent physical properties: mass, charge, and angular momentum.

According to the New Testament Jesus was crucified, died a physical death, was buried within a tomb, and rose from the dead three days later.

Cheerleading is a physical activity, sometimes a competitive sport, based on organized routines, usually ranging from one to three minutes, which contain the components of tumbling, dance, jumps, cheers, and stunting to direct spectators of events to cheer on sports teams at games or to participate in competitions.

As the three converse Daken returns to the physical plane and prevents Shaw from killing Xavier.

In physical terms, the divergence of a three dimensional vector field is the extent to which the vector field flow behaves like a source or a sink at a given point.

In addition to the academic requirements for graduation, Dartmouth requires every undergraduate to complete a swim and three terms of physical education.

was conferred upon Brewster by Marischal College, Aberdeen ; in 1815 he was made a member of the Royal Society of London, and received the Copley medal ; in 1818 he received the Rumford Medal of the society ; and in 1816 the French Institute awarded him one-half of the prize of three thousand francs for the two most important discoveries in physical science made in Europe during the two preceding years.

A DBMS minimizes these problems by providing three views of the database data: an external view ( or user view ), logical view ( or conceptual view ) and physical ( or internal ) view.

Diesel's inventions have three points in common: they relate to heat transfer by natural physical processes or laws ; they involve markedly creative mechanical design ; and they were initially motivated by the inventor's concept of sociological needs.

The true purpose behind kindergarten is “ to provide a child-centered, preschool curriculum for three to seven year old children that aimed at unfolding the child ’ s physical, intellectual, and moral nature with balanced emphasis on each of them .”

Aristotle asserted that man had three natures: vegetable ( physical / metabolism ), animal ( emotional / appetite ) and rational ( mental / conceptual ).

The rate of decomposition is governed by three sets of factors — the physical environment ( temperature, moisture and soil properties ), the quantity and quality of the dead material available to decomposers, and the nature of the microbial community itself.

Banks was not greatly tested, but it was hugely encouraging that he emerged from the group with three clean sheets from three games, a trend that continued when England beat a physical Argentina side 1 – 0 in the last eight, with Geoff Hurst scoring with a header.

In the late eighteenth and early nineteenth century Germany, three pioneer physical educators – Johann Friedrich GutsMuths ( 1759 – 1839 ) and Friedrich Ludwig Jahn ( 1778 – 1852 ) – created exercises for boys and young men on apparatus they had designed that ultimately led to what is considered modern gymnastics.

A trade with the White Sox, involving the same three Astros in exchange for Jon Garland, had been nixed a few days earlier when Buchholz reportedly failed a physical.

According to Matthew Paris, the 13th century chronicler of St Albans Abbey, Abbot Ulsinus ( Wulsin ) founded three churches in 948, reputedly to tend to the physical and spiritual needs of the growing number of pilgrims to Alban's shrine: St Peter's, St Stephen's and St Michael's.

It specified three alternative physical layer technologies: diffuse infrared operating at 1 Mbit / s ; frequency-hopping spread spectrum operating at 1 Mbit / s or 2 Mbit / s ; and direct-sequence spread spectrum operating at 1 Mbit / s or 2 Mbit / s.