What's the difference between axiom and truism?

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.

Truism


Definition:

  • (n.) An undoubted or self-evident truth; a statement which is pliantly true; a proposition needing no proof or argument; -- opposed to falsism.

Example Sentences:

  • (1) In one respect all that is left from Piaget's approach for psychotherapy generally is the truism that therapy fosters differentiation and integration.
  • (2) I was into a kind of heavy philosophy thing when I was 16 years old, and I wanted a truism about cutting through the lies and all that.
  • (3) It is a truism that politicians have to govern in prose and campaign in poetry.
  • (4) The argument turns, first, on the truism that a physician has no obligation to commit a battery, or unauthorized touching, and, second, on the thesis that a patient necessarily cannot consent to something that is unknown to him.
  • (5) It is a truism that the basis for safe management is careful co-operation between clinicians and pathologists who have all the relevant facts and who know and trust one another's judgement.
  • (6) That and the “truisms” that “we don’t have a revenue problem, we have a spending problem” and “you can’t cut taxes by raising them”.
  • (7) It's a very strange film, since it reverses the usual truism that "you had to be there".
  • (8) It became a truism that more people voted on premium rate lines for reality show contestants than in general elections – although the truism was untrue, because many of these phone votes were made up of multiple calls by the same people.
  • (9) Over the past few years of recession and regression, it has become a trite truism of European politics that you can't go wrong going to the right.
  • (10) But it was wrong with such intelligence, and such an abundance of seriousness and knowledge, that even those who disagreed preferred its freshly minted arguments on the wrong side to a routine repetition of truisms on their own.” David Astor: A Life in Print by Jeremy Lewis will be published by Jonathan Cape on 3 March, £25.
  • (11) The mantra of Margarita Simonyan, who heads RT, is: “There is no such thing as objective reporting.” This may be true, but RT’s mission is to push the truism to its breaking point.
  • (12) It is a truism of the "Arab spring" and other periods of sudden change in repressive political systems that the most dangerous moments are those when the regime starts meeting its critics' demands.
  • (13) It is now a truism that men never talk to each other about things that matter.
  • (14) There are two truisms about education policy which researchers need to bear in mind.
  • (15) It is becoming a truism that the world increasingly resembles the world of 1914.
  • (16) Johnson’s talk of a Sunni-Shia political divide that abuses Islam, and an absence of enlightened regional leaders willing to overcome it, is another truism.
  • (17) All projects throughout history have always been delivered within the final budget – that is a truism.
  • (18) One swipe of Wayne Rooney’s right foot altered everything and for 25 minutes after the final whistle they revelled in the truism that only the result matters when the Premier League’s fallen heavyweights collide.
  • (19) While it is a truism that nursing homes should reflect a homelike setting, relatively few nursing homes have been successful in avoiding a hospital-like image.
  • (20) A clinical and roentgenographic analysis of 13 patients with pathologically proved xanthogranulomatous pyelonephritis (X-P) has demonstrated that many previously accepted truisms associated with this disease may not be valid.