What's the difference between axiom and axiomatical?

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.

Axiomatical


Definition:

  • (a.) Of or pertaining to an axiom; having the nature of an axiom; self-evident; characterized by axioms.

Example Sentences:

  • (1) IMMEDIATE EFFECTS: It is worth stating what is almost axiomatic, because it is often forgotten, that undernutrition is likely to affect only those processes which are contemporaneous with it (plus some that follow it).
  • (2) It is axiomatic that communicating effectively is important for good sexual relations.
  • (3) The sequence of events that leads to irreversible injury of the ischaemic myocardium is poorly understood but it is axiomatic that lack of oxygen will impair regeneration of ATP.
  • (4) To summarize the perspective developed in this lecture we begin by considering it as axiomatic: (1) that aqueous domains delimited by lipid membranes typify cellular structure; (2) that different compositions of extracellular and intracellular aqueous domains and differences among intracellular aqueous domains require selective permeation of lipid membranes; and (3) that inorganic ion movements across lipid membranes are a common denominator in permeation.
  • (5) While the merit of taking a transgenic route to study genes of unknown function is axiomatic, the choices of strategies for gene regulation in vivo may not be fully appreciated.
  • (6) It should be axiomatic that whenever a patient with seminoma fails to respond appropriately to radiotherapy that his treatment be immediately discontinued and that appropriate biopsies be obtained to substantiate the histologic pattern present.
  • (7) The amount of fluorescent-labeled antibody bound per unit of surface area of film was measured by incident light with a Zeiss-Axiomat fluorescence microscope equipped for fluorescence photometry and an uranyl acetate glass plate was used as a standard.
  • (8) An analysis of the knowledge acquisition and computational needs of axiomatically-based expert systems is presented.
  • (9) 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.
  • (10) The study has revealed that the approximation of the model to the real epidemic process is connected with the introduction of the notion of the heterogeneity of the parasite and host populations into the axiomatics of modeling.
  • (11) "To say that I can't give you an objective description is not axiomatically to say that they don't exist," he protests – and he may well be right.
  • (12) This 20% figure has become so widely accepted that it is now almost axiomatic.
  • (13) In this paper the axiomatization of the elementary laws of genetics considered in Rizzotti & Zanardo (1986) is translated into a formal language and an axiomatic theory is defined in which the (translated) laws are deducible.
  • (14) Axiomatic foundations for a theory of perception have been given in a prior communication [Shiman, L. G. (1978) Proc.
  • (15) The results are compared with axiomatic theory data on spontaneous activity perturbated media.
  • (16) While it is axiomatic that SNP members want independence, they are far less gung-ho than their leadership fears.
  • (17) The principles of mathematical modelling and axiomatization of pathomorphological processes are outlined.
  • (18) To be both liberal and democratic is to be axiomatically part of a club that examines itself.
  • (19) The ciliary beat was observed via an inverted phase contrast microscope (Zeiss Axiomat IDPC) and measured microphotometrically under physiological conditions and after the damaging influence of 1% propanal solution.
  • (20) It is axiomatic, however, that prior to treatment of an individual patient it be known that blood pressure is consistently elevated.

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