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IMPOSSIBILITY

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  • Pausanias says that he was the author of one of the pediments of the temple of Zeus at Olympia, but this seems a chronological and stylistic impossibility.
  • Responding to the claims of Parmenides on the impossibility of change, Anaxagoras introduced the concept of Nous (Cosmic Mind) as an ordering force.
  • His most famous single result is the first complete proof demonstrating the impossibility of solving the general quintic equation in radicals.
  • In English, mass nouns are characterized by the impossibility of being directly modified by a numeral without specifying a unit of measurement and by the impossibility of being combined with an indefinite article (a or an).
  • Independently from Reutersvärd, the triangle was devised and popularized in the 1950s by psychiatrist Lionel Penrose and his son, the mathematician and Nobel Prize laureate Roger Penrose, who described it as "impossibility in its purest form".
  • Absence rate – Accountancy – Accounting reform – Actuary – Adaptive expectations – Adverse selection – Agent (economics) – Agent-based computational economics – Aggregate demand – Aggregate supply – Agricultural policy – Appropriate technology – Arbitrage – Arrow's impossibility theorem – Asymmetric information – Auction – Austrian School – Autarky – Awards.
  • The impossibility of solving in degree five or higher contrasts with the case of lower degree: one has the quadratic formula, the cubic formula, and the quartic formula for degrees two, three, and four, respectively.
  • Later, after hearing soldiers talk about the success of the double-barreled rifle and the impossibility of a gun that could shoot five or six times without reloading, Colt decided that he would create the "impossible gun".
  • After Lambert delivered the album to Atlantic, the label told Lambert that they enjoyed the album but thought that Theaker couldn't keep time in his drumming, and wanted the drum track re-recorded, an impossibility with the drums and keyboards having been recorded on the same reel.
  • Viscount Dilhorne's statement about the impossibility of crimes still often quoted after a 1981 as regards barring the full-offence charge for completed alleged offences (for which full mens rea can be shown) but where the subject matter did not in the event amount to something prohibited:.
  • An old enemy of Barbicane, a Captain Nicholl of Philadelphia, designer of plate armor, declares that the entire enterprise is absurd and makes a series of bets with Barbicane, each of them of increasing amount, over the impossibility of such a feat.
  • For James, meliorism stands in the middle between optimism and pessimism, and treats the salvation of the world as a probability rather than a certainty or impossibility.
  • If all exploratory mandates prove to be unsuccessful, the president summons all party leaders, and if the impossibility to form a cabinet enjoying the confidence of the parliament is confirmed, the president shall attempt to form a cabinet composed of all parties in parliament for the purpose of holding parliamentary elections.
  • Solving quintic equations in terms of radicals (nth roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved, until the first half of the 19th century, when the impossibility of such a general solution was proved with the Abel–Ruffini theorem.
  • On the eve of that council he published at Naples his Causa Honorii Papae, which aimed at demonstrating the moral and historical impossibility of papal infallibility.
  • Until recently a proportion of the casks were stored in the warehouses of Springbank, due to a lack of room in the distillery, and the legal impossibility of extending the current warehouses at the Arran distillery.
  • there is a parallel between that and the impossibility that Heisenberg established in physics, about ever knowing everything about the behaviour of physical objects'.
  • Lewis went on to devise modal logic which he described in his next book Symbolic Logic (1932) as possible formal analyses of the alethic modalities, modes of logical truth such as necessity, possibility and impossibility.
  • A major obstacle is posed by Gödel's incompleteness theorems, which effectively imply the impossibility of proving the consistency of ZF set theory in ZF set theory itself, provided that it is in fact consistent.
  • His dispute with the Catholic Church led to another embarrassing electoral defeat, and the government in Ottawa now viewed him as a "governmental impossibility" in Ontario and decided it might be more prudent to put Meredith in a position that enabled him to put his real talents to work.


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