What's the difference between axiom and principle?

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.

Principle


Definition:

  • (n.) Beginning; commencement.
  • (n.) A source, or origin; that from which anything proceeds; fundamental substance or energy; primordial substance; ultimate element, or cause.
  • (n.) An original faculty or endowment.
  • (n.) A fundamental truth; a comprehensive law or doctrine, from which others are derived, or on which others are founded; a general truth; an elementary proposition; a maxim; an axiom; a postulate.
  • (n.) A settled rule of action; a governing law of conduct; an opinion or belief which exercises a directing influence on the life and behavior; a rule (usually, a right rule) of conduct consistently directing one's actions; as, a person of no principle.
  • (n.) Any original inherent constituent which characterizes a substance, or gives it its essential properties, and which can usually be separated by analysis; -- applied especially to drugs, plant extracts, etc.
  • (v. t.) To equip with principles; to establish, or fix, in certain principles; to impress with any tenet, or rule of conduct, good or ill.

Example Sentences:

  • (1) Stress is laid on certain principles of diagnostic research in the event of extra-suprarenal pheochromocytomas.
  • (2) However, as the same task confronts the Lib Dems, do we not now have a priceless opportunity to bring the two parties together to undertake a fundamental rethink of the way social democratic principles and policies can be made relevant to modern society.
  • (3) To a supporter at the last election like me – someone who spoke alongside Nick Clegg at the curtain-raiser event for the party conference during the height of Labour's onslaught on civil liberties, and was assured privately by two leaders that the party was onside about civil liberties – this breach of trust and denial of principle is astonishing.
  • (4) The White House denied there had been an agreement, but said it was open in principle to such negotations.
  • (5) Using the MTT assay and analyzing the data using the median-effect principle, we showed that synergistic cytotoxic interactions exist between CDDP and VM in their liposomal form.
  • (6) The heretofore "permanently and totally disabled versus able-bodied" principle in welfare reforms is being abbandoned.
  • (7) The binding follows the principle of isotope dilution in the physiologic range of vitamin B12 present in human serum.
  • (8) The principle of the liquid and solid two-phase radioimmunoassay and its application to measuring the concentrations of triiodothyronine and thyroxine of human serum in a single sample at the same time are described in this paper.
  • (9) Spectrophotometric tests for the presence of a lysozyme-like principle in the serum also revealed similar trends with a significant loss of enzyme activity in 2,4,5-T-treated insects.
  • (10) All these strains produced an enterotoxic principle, antigenically related to cholera coli family of enterotoxins, as detected by latex agglutination and immuno-dot-blot tests.
  • (11) The basic principle of the resonant tool, its adaptation for surgery, the experimental results of its use in animals, and clinical experience are reported.
  • (12) It seems tragic, then, that so little of these principles transfer over to the container in which the work is done.
  • (13) This conception of the city as an expression of both regal power and social order, guided by cosmological principles and the pursuit of yin-yang equilibrium, was unlike anything in the western tradition.
  • (14) The general principles of bypass surgery as they affect the cerebral circulation are reviewed.
  • (15) The interest of this view resides in the resulting general principle of classification and interpretation of all forms of disease, giving rise to an "existenialistic pathology".
  • (16) Eight of the UK's biggest supermarkets have signed up to a set of principles following concerns that they were "failing to operate within the spirit of the law" over special offers and promotions for food and drink, the Office of Fair Trading has said.
  • (17) Although the general guiding principle of pharmacotherapy for anxiety disorders--the lowest effective dose for the shortest possible time--remains, this rule should not interfere with the judicious use of medications as long as the benefits justify it.
  • (18) In older stages, the cervical joints rotate according to geometric and lever arm principles.
  • (19) Spain’s constitutional court responded by unanimously ruling that the legislation had ignored and infringed the rules of the 1978 constitution , adding that the “principle of democracy cannot be considered to be separate from the unconditional primacy of the constitution”.
  • (20) The principles and practice of aneasthesia for patients having coronary bypass grafts are discussed.