What's the difference between axiom and mantra?

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.

Mantra


Definition:

  • (n.) A prayer; an invocation; a religious formula; a charm.

Example Sentences:

  • (1) To find life as we know it, Nasa's mantra is "follow the water".
  • (2) Questioned as to whether Google needs to alter its mission statement, which was twinned with the company mantra “don’t be evil, for the next stage of company growth in an interview with the Financial Times , Page responded: “We’re in a bit of uncharted territory.
  • (3) If you’re a congressional Republican, you consider Obamacare a “failure”, and “repeal and replace” is your mantra.
  • (4) His party colleague and new fellow MEP Janice Atkinson said her own mantra in Brussels would be "No and no and no."
  • (5) However, she was also clear that she was sticking to the mantra of the EU27 when it came to Brexit – that there would be no negotiation without notification , even on the issue of EU citizens.
  • (6) Yet despite this, the mantra is that there is significant waste to cut – a mantra not just coming from policymakers remote from action, but from staff within the NHS who can see it for themselves every day yet feel powerless to do anything.
  • (7) Together we can reject the coalition's mantra that there is no alternative.
  • (8) From child migrants to the doctors’ dispute, principled compromise should be the mantra of the shrewd politician.
  • (9) Disney's proposals for Star Wars would appear to be a continuation of a mantra that says popular franchises should be mined for everything they are worth.
  • (10) Despite the fragile state of what Sir Mervyn King has called the "zigzag" economy, Osborne will repeat his mantra that there is no alternative to stringent spending cuts.
  • (11) It was during this meeting the All Black manager, Sir Brian Lochore, coined what would become a mantra for Henry and his team: “Better people make better All Blacks”.
  • (12) Play less tournament golf and practise more for the majors has become the Australian's mantra, and all the homework had been done as he began his 14th Open Championship challenge.
  • (13) "The Blair-Brown era is over," he repeats as a mantra.
  • (14) There are so many little gems that are clearly mantras of people who have been through meetings.
  • (15) The mantra of "fewer, better" will become a watchword across the BBC's output – as will collaboration with other broadcasters: a reinvented Call The Midwife is relocated to the Lower East Side of Manhattan.
  • (16) Osborne knows only too well that many of his colleagues believe the Tory mantra about the party’s “long-term economic plan” is the cause of jokes and despair among MPs who believe that it symbolises what is being seen as a dull and managerial campaign.
  • (17) Repeating Tepco's mantra of the past two years, Takahashi apologised "to the world" for the "inconvenience" caused by the Fukushima Daiichi nuclear disaster.
  • (18) In these education systems, high expectations for all students are not a mantra but a reality; students who start to fall behind are identified quickly, their problems are promptly and accurately diagnosed, and the appropriate course of action for improvement is quickly taken."
  • (19) In fact the mantra of "green growth" has been a central component of President Lee's policy platform since 2008, and this month – even as Japan backed away from its own climate commitments – Korea's legislature unanimously passed a new climate act which will enforce carbon caps and an emissions trading scheme among its heavy industry and electricity sector.
  • (20) The present article in particular focuses on the relaxation exercises, made up of Progressive Muscle Relaxation and Autogenic Training elements as well as of phantasy travels, mantras, and periodic music.

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