What's the difference between axiom and premise?

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.

Premise


Definition:

  • (n.) A proposition antecedently supposed or proved; something previously stated or assumed as the basis of further argument; a condition; a supposition.
  • (n.) Either of the first two propositions of a syllogism, from which the conclusion is drawn.
  • (n.) Matters previously stated or set forth; esp., that part in the beginning of a deed, the office of which is to express the grantor and grantee, and the land or thing granted or conveyed, and all that precedes the habendum; the thing demised or granted.
  • (n.) A piece of real estate; a building and its adjuncts; as, to lease premises; to trespass on another's premises.
  • (n.) To send before the time, or beforehand; hence, to cause to be before something else; to employ previously.
  • (n.) To set forth beforehand, or as introductory to the main subject; to offer previously, as something to explain or aid in understanding what follows; especially, to lay down premises or first propositions, on which rest the subsequent reasonings.
  • (v. i.) To make a premise; to set forth something as a premise.

Example Sentences:

  • (1) Cultures of these isolants were inoculated experimentally into turkeys and produced lesions of chlamydiosis that were indistinguishable from those caused by the strain originally recovered from diseases turkeys on the premises.
  • (2) A basic premise is that emotional process is not unique to homo sapiens and that human behavior might better be understood by observing this process in the broader context of all natural systems.
  • (3) There are far too many fast-food premises near schools.
  • (4) Each case must be assessed on its own premises: the substitution need, the availability of a transplant, the long-term prognosis, and the advantages and disadvantages of a solution with autotransplantation versus solutions without autotransplantation.
  • (5) Neuronal models in temperature regulation are primarily considered explicit statements of assumptions and premises used in design of experiments and development of descriptive equations concerning the relationships between thermal inputs and control actions.
  • (6) The effects on gas exchange and hemodynamics were compared with those of CPPV with PEEP, with the premise that CNPV might sustain venous return and improve QT.
  • (7) The starting premise of the remain campaign was that elections in Britain are settled in a centre-ground defined by aversion to economic risk and swung by a core of liberal middle-class voters who are allergic to radical lurches towards political uncertainty.
  • (8) The authors note that poison center callers seem to constitute a pool of significantly suicidal persons and reaffirm the premise that poison centers and suicide centers should coordinate their efforts.
  • (9) To test this premise, 14 healthy, untrained men trained four days per week for 20 weeks on a bicycle ergometer for endurance (END Group, n = 4), on an isokinetic device for increased torque production (ITP Group, n = 5), or on both devices (COMBO Group, n = 5).
  • (10) If that premise is accepted, there is much that academic institutions can do to foster utilization of their biotechnological discoveries.
  • (11) Archer, which Reed originally pitched to the FX channel as "James Bond meets Arrested Development" takes this premise – the comedy of displacement activity – and runs with it.
  • (12) As a smaller, weaker, standalone company, it would struggle to invest as much as it does currently.” The company said the UK was repeatedly ranked the best for broadband speeds in the EU and claimed 90% of UK premises had access to fibre optic connections.
  • (13) "We regret that Congress was forced to waste its time voting on a foolish bill that was premised entirely on false claims and ignorance," David Jenkins, an REP official, said in a statement.
  • (14) The higher-cost practices were those that maintained donors on the premises specifically for blood donation purposes.
  • (15) This paper concentrates on the applications of the Project used in Health Centres, where General Practitioners share premises with District Nurses, Health Visitors, Social Workers and other members of the Community Health Care Team.
  • (16) As Nick Bostrom, the head of the Future of Humanity Institute at the University of Oxford and a leading transhumanist thinker puts it, transhumanism "challenges the premise that the human condition is and will remain essentially unalterable".
  • (17) The BBC will then work with the developers Stanhope on a three-year project to turn TV Centre into a new creative hub where the corporation will retain a studio presence alongside planned residential, office and leisure premises.
  • (18) Alexander Mackendrick's 1955 comedy is Ealing's neatest, and its trippiest; the product of lurid new colour stock (including some alarming back-projection ) and a hallucinatory premise.
  • (19) Further study is needed to verify this latter premise.
  • (20) Mr Clarke said tonight that the premises will "now be thoroughly searched, and that is a process that will take some time".