For example it was unknown to the Greeks that it is in general impossible to trisect a given angle.Using the field notion and field theory allows these problems to be settled.To do so, the field of constructible numbers is considered.…
"At that time we really had no notion of anything called a media event."Yet the press was quick to react and by evening the event was reported around the world.…
Such methods have always been part of folk mathematics by which great feats of calculation and measurement are sometimes achieved.Indeed, such methods may be the only notion of proof a culture has.Hilary Putnam has argued that any theory of mathematical realism would include quasi-empirical methods.…
The supply curve could be derived by superimposing a representative firm supply curves for the factors of production and then market equilibrium would be given by the intersection of demand and supply curves.He also introduced the notion of different market periods: mainly short run and long run.…
We certainly do not have any experience of minds creating physical objects out of nothing; from a first-person perspective, we surely have no experience or idea of what that would even be like.Now, suppose that we do understand the notion of a mind creating something out of nothing.We imagine someone thinking very hard, with nothing in front of him; and then the next moment there is something, like a tree, in front of him; and, whatever this would mean, we imagine that his thoughts have caused the tree to appear in front of him.…
However, these authors also found that awareness of action was anticipatory to activity in the muscle underlying the movement; the entire process resulting in action involves more steps than just the onset of brain activity.The bearing of these results upon notions of free will appears complex.Some argue that placing the question of free will in the context of motor control is too narrow.…
For example the equipment associated with the brewing of tea varies greatly across the world (see images).Social relations to material culture often include notions of identity and status.Advocates of culture-historical archaeology use this notion to argue that sets of material culture can be used to trace ancient groups of people that were either self-identifying societies or ethnic groups.…
Thus, in classical (Newtonian) mechanics a cause may be represented by a force acting on a body, and an effect by the acceleration which follows as quantitatively explained by Newton's second law.For different physical theories the notions of cause and effect may be different.For instance, in the general theory of relativity, acceleration is not an effect (since it is not a generally relativistic vector); the general relativistic effects comparable to those of Newtonian mechanics are the deviations from geodesic motion in curved spacetime.…
A man would never get the notion of writing a book on the peculiar situation of the human male.
Now she had hit upon a new plan.She could carry out some good old-fashioned notions she had about training girls in domestic matters.She would do her own work with such assistance as her daughters could give her out of school hours, calling in such help as they needed.…Cited from Divers Women, by Pansy and Mrs. C.M. Livingston
The idea of abdicating and returning to Portugal took root in his mind, and, beginning in early 1829, he talked about it frequently.An opportunity soon appeared to act upon the notion.Radicals within the Liberal Party rallied street gangs to harass the Portuguese community in Rio de Janeiro.…
The Hollow Earth hypothesis proposes that the planet Earth either is entirely hollow or otherwise contains a substantial interior space.The scientific community has dismissed the notion since at least the late 18th century.The concept of a hollow Earth recurs many times in folklore and as the premise for subterranean fiction, a subgenre of adventure fiction.…
Rational primes (i.e. prime elements in Z) of the form 4k + 3 are Gaussian primes, whereas rational primes of the form 4k + 1 are not.In ring theory, the notion of number is generally replaced with that of ideal.Prime ideals, which generalize prime elements in the sense that the principal ideal generated by a prime element is a prime ideal, are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry.…
The civilizations in Mesopotamia, the Indus Valley, and China shared many similarities and likely exchanged technologies and ideas such as mathematics and the wheel.Other notions such as that of writing likely developed individually in each area.Cities, states and then empires developed in these lowlands.…
His goal is to free the individual from such notions of essential universal goals.Part two is centered on the possibility of freedom from current ideological ways of thinking through a robust philosophical egoism.…
There are different words used for the number or concept of zero depending on the context.For the simple notion of lacking, the words nothing and none are often used.Sometimes the words nought, naught and aught are used.…
Thirdly, groups were, at first implicitly and later explicitly, used in algebraic number theory.The different scope of these early sources resulted in different notions of groups.The theory of groups was unified starting around 1880.…
It seems natural that a set of individuals ought to exist, so long as the individuals exist.Indeed, naive set theory might be said to be based on this notion.Although Zermelo's fix allows a class to describe arbitrary (possibly "large") entities, these predicates of the meta-language may have no formal existence (i.e., as a set) within the theory.…
We might imagine that we understand this, but it doesn't seem like we actually do.But now another problem about the notion that God is a mind arises.We said that God exists eternally, and that "eternal" has two different interpretations, meaning either existing timelessly or existing endlessly along the extensively proportioned parameter of infinite time.…
If the manifold is equipped with an affine connection (a covariant derivative or connection on the tangent bundle), then this connection allows one to transport vectors of the manifold along curves so that they stay parallel with respect to the connection.Other notions of connection come equipped with their own parallel transportation systems as well.For instance, a Koszul connection in a vector bundle also allows for the parallel transport of vectors in much the same way as with a covariant derivative.…
nounAn odd or fanciful or capricious idea →
the theatrical notion of disguise is associated with disaster in his stories,
he had a whimsy about flying to the moon,
whimsy can be humorous to someone with time to enjoy it
noun(usually plural) small personal articles or clothing or sewing items →
buttons and needles are notions