What's the difference between axiom and rule?

Axiom


Definition:

  • (a.) A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."
  • (a.) An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.

Example Sentences:

  • (1) Pair comparisons enable a (partial) test of the axioms of additive conjoint measurement.
  • (2) The clinician has to deal with scientific and ethical issues and keep in mind the axiom 'Primum no nocere--Above all, do no harm.'
  • (3) Proponents of two axioms of biological evolutionary theory have attempted to find justification by reference to nonequilibrium thermodynamics.
  • (4) Fundamental animal studies by pioneers, such as Chang, Thibault and Edwards, taught us nature's axioms for gametogenesis, fertilization, development and differentiation.
  • (5) Emerson approvingly quoted Swedenborg's, "The visible world and the relation of its parts, is the dial plate of the invisible", and asserted, "The axioms of physics translate the laws of ethics."
  • (6) One of the essential axioms of modern politics has always been that voters dislike divided parties and will punish them at the polls.
  • (7) Stereology is the application of mathematical axioms and allows one to quantitate three-dimensional structures from the measurement of two-dimensional cross sections thereof.
  • (8) Synthesis of information in the brain is determined by the same principles, but extremums of the thermo-dynamic potential (their analogues in logic) are based on an arbitrary system of axioms.
  • (9) The axioms of treatment are to remove all pressure, debride necrotic tissue, keep the ulcer clean, and prevent further injury.
  • (10) USCI, DLP, or Axiom cannulas can be inserted femorally.
  • (11) Flash fire victims are exceptions to the axiom that elevation of blood carboxyhemoglobin is a sine qua non for concluding that a decedent recovered from the scene of a conflagration was alive in the fire.
  • (12) Examples are the systematic studies by Denis Burkitt, who through perseverance unraveled the lymphoma that now bears his name, and the thought-provoking description of the immunoproliferative small intestinal disease carried out by the Cape Town group, with both illustrating the axiom that "the study of man is man."
  • (13) It is thus denied axiomatic status, and the effects of natural selection are subsumed as an additional level of constraint in an evolutionary theory derived from the Axiom of Historically Determined Inherent Directionality.
  • (14) The first, the Axiom of Improbability, is shown to be nonhistorical and thus, for a theory of change through time, acausal.
  • (15) Nursing research, as every other research studying human beings, must be guided, attuned and illuminated by ethical principles and axioms.
  • (16) In this review, a few well-established axioms have been challenged while others were viewed from a new perspective.
  • (17) An axiom of Thomas Hobbes states that "people are never more helpless than when the force meant to protect their rights turns against them."
  • (18) The basis for the development for a dynamic compression implant (DCI) is the axiome of the mechanically induced bone reaction.
  • (19) This article reexamines the Sidman stimulus equivalence analogy in the context of a broader consideration of the mathematical axiom than was included in the original presentation of the analogy and some of the data that have accumulated in the interim.
  • (20) This is in contradistinction to earlier work on decision making for patients with laryngeal cancer, and most of the work in medical decision making in general, in which underlying axioms have almost never been tested.

Rule


Definition:

  • (a.) That which is prescribed or laid down as a guide for conduct or action; a governing direction for a specific purpose; an authoritative enactment; a regulation; a prescription; a precept; as, the rules of various societies; the rules governing a school; a rule of etiquette or propriety; the rules of cricket.
  • (a.) Uniform or established course of things.
  • (a.) Systematic method or practice; as, my ule is to rise at six o'clock.
  • (a.) Ordibary course of procedure; usual way; comon state or condition of things; as, it is a rule to which there are many exeptions.
  • (a.) Conduct in general; behavior.
  • (a.) The act of ruling; administration of law; government; empire; authority; control.
  • (a.) An order regulating the practice of the courts, or an order made between parties to an action or a suit.
  • (a.) A determinate method prescribed for performing any operation and producing a certain result; as, a rule for extracting the cube root.
  • (a.) A general principle concerning the formation or use of words, or a concise statement thereof; thus, it is a rule in England, that s or es , added to a noun in the singular number, forms the plural of that noun; but "man" forms its plural "men", and is an exception to the rule.
  • (a.) A straight strip of wood, metal, or the like, which serves as a guide in drawing a straight line; a ruler.
  • (a.) A measuring instrument consisting of a graduated bar of wood, ivory, metal, or the like, which is usually marked so as to show inches and fractions of an inch, and jointed so that it may be folded compactly.
  • (a.) A thin plate of metal (usually brass) of the same height as the type, and used for printing lines, as between columns on the same page, or in tabular work.
  • (a.) A composing rule. See under Conposing.
  • (n.) To control the will and actions of; to exercise authority or dominion over; to govern; to manage.
  • (n.) To control or direct by influence, counsel, or persuasion; to guide; -- used chiefly in the passive.
  • (n.) To establish or settle by, or as by, a rule; to fix by universal or general consent, or by common practice.
  • (n.) To require or command by rule; to give as a direction or order of court.
  • (n.) To mark with lines made with a pen, pencil, etc., guided by a rule or ruler; to print or mark with lines by means of a rule or other contrivance effecting a similar result; as, to rule a sheet of paper of a blank book.
  • (v. i.) To have power or command; to exercise supreme authority; -- often followed by over.
  • (v. i.) To lay down and settle a rule or order of court; to decide an incidental point; to enter a rule.
  • (v. i.) To keep within a (certain) range for a time; to be in general, or as a rule; as, prices ruled lower yesterday than the day before.

Example Sentences:

  • (1) Past imaging techniques shown in the courtroom have made the conventional rules of evidence more difficult because of the different informational content and format required for presentation of these data.
  • (2) The way we are going to pay for that is by making the rules the same for people who go into care homes as for people who get care at their home, and by means-testing the winter fuel payment, which currently isn’t.” Hunt said the plan showed the Conservatives were capable of making difficult choices.
  • (3) Before issuing the ruling, the judge Shaban El-Shamy read a lengthy series of remarks detailing what he described as a litany of ills committed by the Muslim Brotherhood, including “spreading chaos and seeking to bring down the Egyptian state”.
  • (4) Also critical to Mr Smith's victory was the decision over lunch of the MSF technical union's delegation to abstain on the rule changes.
  • (5) Titre in newborn was as a rule lower than the corresponding titre of mother.
  • (6) Former lawmaker and historian Faraj Najm said the ruling resets Libya “back to square one” and that the choice now faced by the Tobruk-based parliament is “between bad and worse”.
  • (7) The exception to this rule is a cyst which can be safely aspirated under controlled conditions.
  • (8) This situation should lead to discuss preventive rules.
  • (9) Cas reduced it further to four, but the decision effectively ends Platini’s career as a football administrator because – as he pointedly noted – it rules him out of standing for the Fifa presidency in 2019.
  • (10) Paul Johnson, the IFS director, said: “Osborne’s new fiscal charter is much more constraining than his previous fiscal rules.
  • (11) Models with a C8-symmetry and D4-symmetry can be ruled out.
  • (12) CEA and bacterial antigens were not detected in the material, and the presence of alpha-fetoprotein, HLA and blood-group antigens may be ruled out on account of their respective molecular weights.
  • (13) In his notorious 1835 Minute on Education , Lord Macaulay articulated the classic reason for teaching English, but only to a small minority of Indians: “We must do our best to form a class who may be interpreters between us and the millions whom we govern; a class of persons, Indians in blood and colour, but English in taste, in opinions, in morals and in intellect.” The language was taught to a few to serve as intermediaries between the rulers and the ruled.
  • (14) In fact, if the roundtable operated by the rules it publishes, most of its members might have been thrown out.
  • (15) Injections of l-amphetamine were not effective, ruling out non-specific effects of pH, osmolarity and the like and also ruling out noradrenergic actions as explanations of the behavioral effects.
  • (16) My father wrote to the official who had ruled I could not ride and asked for Championships to be established for girls.
  • (17) The prediction rule performed well when used on a test set of data (area, 0.76).
  • (18) Analysts say Zuma's lawyers may try to reach agreement with the prosecutors, while he can also appeal against yesterday's ruling before the constitutional court.
  • (19) The ruling centre-right coalition government of Angela Merkel was dealt a blow by voters in a critical regional election on Sunday after the centre-left opposition secured a wafer-thin victory, setting the scene for a tension-filled national election in the autumn when everything will be up for grabs.
  • (20) But employers who have followed a fair procedure may have the right to discipline or finally dismiss any smoker who refuses to accept the new rules.