What's the difference between axiom and proposition?

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.

Proposition


Definition:

  • (n.) The act of setting or placing before; the act of offering.
  • (n.) That which is proposed; that which is offered, as for consideration, acceptance, or adoption; a proposal; as, the enemy made propositions of peace; his proposition was not accepted.
  • (n.) A statement of religious doctrine; an article of faith; creed; as, the propositions of Wyclif and Huss.
  • (n.) A complete sentence, or part of a sentence consisting of a subject and predicate united by a copula; a thought expressed or propounded in language; a from of speech in which a predicate is affirmed or denied of a subject; as, snow is white.
  • (n.) A statement in terms of a truth to be demonstrated, or of an operation to be performed.
  • (n.) That which is offered or affirmed as the subject of the discourse; anything stated or affirmed for discussion or illustration.
  • (n.) The part of a poem in which the author states the subject or matter of it.

Example Sentences:

  • (1) The data support the proposition that the latency of P300 corresponds to stimulus evaluation time and is independent of response selection.
  • (2) The proposition put forward in this paper is that standards of nursing practice can only be assured if the profession is able to find ways of responding to the intuitions and gut reactions of its practitioners.
  • (3) The major propositions of self-efficacy theory are described and related to the experience of women approaching labor.
  • (4) In the Proposition 8 legal action, the supreme court could decide: • There is a constitutional right, under the equal protection clauses, for gay couples to wed, in which case the laws in 30 states prohibiting same-sex marriages are overturned.
  • (5) This paper briefly explores the following propositions: People usually attend their doctors with complaints of individual functioning.
  • (6) This study tests the proposition that selected behaviors of both mother and infant during feeding are predictors of weight gain during the 1st mth of life.
  • (7) Selection of dominant follicle(s)--a speculative proposition assuming timely and selective activation of the IGF-I system in "chosen" follicles.
  • (8) The paper finishes with concrete propositions of proceeding when the computer system is implemented and shows possibilities of scientific data evaluation of a microbiological data base.
  • (9) To evaluate the generality of this proposition we studied procedural learning on three different tasks in an amnesic patient who displayed no signs of intellectual deterioration including problem-solving difficulty.
  • (10) Recent data are cited for the proposition that these changes constitute a closed pathogenetic concatenation creating a vicious circle.
  • (11) Meanwhile, California voters pass Proposition 8, the controversial ballot measure that defined marriage as a union between a man and a woman.
  • (12) This proposition is justified by the severe side effects of the currently used chronic anticonvulsant drug therapy in febrile seizures (phenobarbital and valproate).
  • (13) In view of the facts that uric acid is a common end-product of human and animal metabolism, it is abundantly present in the avian faecal matter and is capable of inducing mucoid growth and capsule formation in dry growing non-encapsulated strains or in an otherwise rough looking hypha forming isolate, its role in studying the phylogenesis of C. neoformans and its pathogenicity seems to be an important proposition.
  • (14) The dotcom fiasco, and that is what it looks like, noting as we do many more complaints over praise for the current proposition, leaves a bitter taste for investors to our minds.
  • (15) The author rejects the proposition, encountered in some parts of the psychoanalytic and social-science literature, that certain types of disturbances correspond to certain epochs or forms of society.
  • (16) The government would also be making a big call if it refused to budge because it would risk having to negotiate with the disparate group of crossbench senators to salvage the deal, a difficult proposition on such a significant trade agreement.
  • (17) It is first reasserted that the idea that the problem drinking paradigm is nothing more than a bid by psychologists to take over the alcohol studies field is neither a useful nor serious proposition.
  • (18) "The moon is very visible and any proposition by another country to set up a permanent presence there would be unacceptable to the Americans."
  • (19) Although the amino acid sequences of the two ferritin subunits (H and L) diverge in about 50% of the coding region, their five alpha-helices and the exon sizes of their genes are compatible with the proposition that they diverged from a single ancestral gene.
  • (20) In this life,” he said, smiling, “you have to make some money.” He then spelled out the cartel’s proposition: it would pay Sirleaf handsomely in exchange for his help in using Liberia as a transit hub for smuggling cocaine from Colombia into Europe.

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