What's the difference between axiom and demonstration?

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.

Demonstration


Definition:

  • (n.) The act of demonstrating; an exhibition; proof; especially, proof beyond the possibility of doubt; indubitable evidence, to the senses or reason.
  • (n.) An expression, as of the feelings, by outward signs; a manifestation; a show.
  • (n.) The exhibition and explanation of a dissection or other anatomical preparation.
  • (n.) (Mil.) a decisive exhibition of force, or a movement indicating an attack.
  • (n.) The act of proving by the syllogistic process, or the proof itself.
  • (n.) A course of reasoning showing that a certain result is a necessary consequence of assumed premises; -- these premises being definitions, axioms, and previously established propositions.

Example Sentences:

  • (1) The Na+ ionophore, gramicidin, had a small but significant inhibitory effect on Na(+)-dependent KG uptake, demonstrating that KG uptake was not the result of an intravesicular positive Na+ diffusion potential.
  • (2) Patient plasma samples demonstrated evidence of marked complement activation, with 3-fold elevations of C3a desArg concentrations by the 8th day of therapy.
  • (3) The influence of the various concepts for the induction of lateral structure formation in lipid membranes on integral functional units like ionophores is demonstrated by analysing the single channel current fluctuations of gramicidin in bimolecular lipid membranes.
  • (4) Of the patients 73% demonstrated clinically normal sensibility test results within 23 days after operation.
  • (5) Lucy and Ed will combine coverage of hard and breaking news with a commitment to investigative journalism, which their track record so clearly demonstrates”.
  • (6) These immunocytochemical studies clearly demonstrated that cells encountered within the fibrous intimal thickening in the vein graft were inevitably smooth muscle cell in origin.
  • (7) Competition with the labelled 10B12 MAb for binding to the purified antigen was demonstrated in sera of tumor-bearing and immune rats.
  • (8) Using monoclonal antibodies directed against the plasma membrane of Madin-Darby canine kidney (MDCK) cells, we demonstrated previously that a glycoprotein with an Mr = 23,000 (gp23) had a non-polarized cell surface distribution and was observed on both the apical and basolateral membranes (Ojakian, G. K., Romain, R. E., and Herz, R. E. (1987) Am.
  • (9) These results demonstrate that increased availability of galactose, a high-affinity substrate for the enzyme, leads to increased aldose reductase messenger RNA, which suggests a role for aldose reductase in sugar metabolism in the lens.
  • (10) Intravesical BCG is clearly superior to oral BCG, and controlled studies have demonstrated that percutaneous administration is not necessary.
  • (11) We have previously shown that serotonin is present in secretory granules of frog adrenochromaffin cells; concurrently, we have demonstrated that serotonin is a potent stimulator of corticosterone and aldosterone secretion by adrenocortical cells.
  • (12) Microionophoretically applied excitatory amino acids induced firing of extracellularly recorded single units in a tissue slice preparation of the mouse cochlear nucleus, and the similarly applied antagonist 2-amino-5-phosphonovalerate (2APV) was demonstrated to be a selective N-methyl-D-aspartate (NMDA) receptor antagonist.
  • (13) The results demonstrated that K2PtCl4 was bound to a greater degree than CDDP in this system with 3-5 and 1-2 platinum atoms respectively, bound per transferrin molecule.
  • (14) These studies, in addition to demonstrating that the placenta contains TRH deamidase activity, suggest that losses of fetal TRH through the placenta are not large.
  • (15) Light microscopic studies of pancreata from mice sacrificed at this time demonstrated insulitis and beta cell necrosis.
  • (16) Western blot analysis of these mitochondria using an antibody against carnitine palmitoyltransferase II purified from beef heart demonstrates a 68-kDa protein, which under ischemic conditions apparently is decreased by 2 kDa.
  • (17) Acquired drug resistance to INH, RMP, and EMB can be demonstrated in M. kansasii, and SMX in combination with other agents chosen on the basis of MIC determinations are effective in the treatment of disease caused by RMP-resistant M. kansasii.
  • (18) In 1 of the 3, anterior capsular detachment was also demonstrated radiographically and confirmed surgically.
  • (19) This result demonstrates that branching enzyme belongs to a family of the amylolytic enzymes.
  • (20) Histological studies of nerves 2 years following irradiation demonstrated loss of axons and myelin, with a corresponding increase in endoneurial, perineurial, and epineurial connective tissue.