What's the difference between axiom and postulate?

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.

Postulate


Definition:

  • (n.) Something demanded or asserted; especially, a position or supposition assumed without proof, or one which is considered as self-evident; a truth to which assent may be demanded or challenged, without argument or evidence.
  • (n.) The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem.
  • (a.) Postulated.
  • (v. t.) To beg, or assume without proof; as, to postulate conclusions.
  • (v. t.) To take without express consent; to assume.
  • (v. t.) To invite earnestly; to solicit.

Example Sentences:

  • (1) We postulate that FAA may affect the human peripheral and mucosal immune system.
  • (2) This postulate is supported by a limited study of the serovars present among the isolates.
  • (3) Protein kinase C (PKC) is activated rapidly and transiently following ionizing radiation exposure and is postulated to activate downstream nuclear signal transducers.
  • (4) A new theory for the peculiar site selection of cholesteatomas of the external auditory canal is postulated.
  • (5) Both strong-stop DNAs are made early during in vitro reactions and decline in concentration later, consistent with postulated roles as initiators of long minus- and plus-strand DNA.
  • (6) Based on these findings and those described before, an overall degradation scheme is postulated.
  • (7) Their speech patterns, specifically pronoun use, were analyzed and support the postulate that a high frequency of self-references indicates memory loss and paucity of present experience.
  • (8) It has been postulated that the peroxisomal fatty acid-oxidizing system [Lazarow & de Duve (1976) Proc.
  • (9) The paper postulates that 'anal or sphincter defensiveness' is one of the precursors of the repression barrier.
  • (10) We postulate that an abnormality in retinal dopaminergic neurons, which are known to reduce light responsiveness of horizontal and ganglion cells, is the underlying pathophysiology of this clinical finding.
  • (11) We conclude, therefore, that a direct deacylation of the acyl groups at the primary alcohol level of the glycerol probably does not occur, but postulate that transacylations may occur to account for the removal of the acyl moiety.
  • (12) In addition, the postulated personality for PD may predispose to hard work, perspiration, and increased exposure to putative trace elements in the water supply.
  • (13) A regulatory role for GABA in the reproductive tract is postulated.
  • (14) A pathogenetic mechanism is postulated to explain the subacute evolution of fluid collection with diffusion of proteolytic enzymes between the splenic capsule and parenchyma.
  • (15) Therefore, it is not necessary to postulate a preponderant extraerythropoietic source to explain the amount of fecal excretion.
  • (16) The reason we have postulated that one-electron oxidation plays an important role in the activation of PAH derives from certain common characteristics of the radical cation chemistry of the most potent carcinogenic PAH.
  • (17) The postulated deficit is contrasted to the hypothesis of impairment to the lexical-semantic component, required to explain performance by brain-damaged subjects described elsewhere who make seemingly identical types of oral production errors to those of RGB and HW, but, in addition, make comparable errors in writing and comprehension tasks.
  • (18) The expression of keratin and differentiation markers was identical to that of normal keratinocytes, suggesting that psoriatic epidermal differentiation is not truncated in vitro as has been postulated to be the case in vivo.
  • (19) It is postulated that in case vasopressin affects retrieval processes the site of action is located in the amygdala and the dentate gyrus of the hippocampal complex with dopamine and serotonin as the respective neurotransmitter systems involved.
  • (20) More than 20 years ago Olney and his colleagues described the 'Excitotoxic Hypothesis' which postulates that, in addition to its normal function in the healthy brain, glutamate can kill neurons by prolonged, receptor-mediated depolarization resulting in irreversible disturbances in ion homeostasis.