# Expressions - Collocations of the word " axiom "

accept axiom | 1) If one accepts the axiom of choice, the answer is yes.2) There is no axiom accepted by science that forbids scientific inquiry into origin questions.more accept axiom sentences |

additional axiom | 1) The final step derived Einstein's equations from the weakest possible set of additional axioms.2) A topos can also be considered as a specific type of category with two additional topos axioms.more additional axiom sentences |

add axiom | 1) One can add further axioms restricting the dimension or the coordinate ring.2) adding axioms to "K" gives rise to other well-known modal systems.more add axiom sentences |

assume axiom | 1) I do assume the axioms, and I do assume existence.2) Or, does the objector assume the axioms as well.more assume axiom sentences |

basic axiom | 1) It has been a basic axiom that successful FID programs are real partnerships.2) Applying it in discussion where basic axioms are in dispute, is another story.more basic axiom sentences |

call axiom | 1) This property is called the normalisation axiom.2) This sentence is called the second-order induction axiom.more call axiom sentences |

certain axiom | 1) This selection will be subject to certain axioms, stated below.2) This approach also adds certain axioms about equality to the deductive system employed.more certain axiom sentences |

comprehension axiom | 1) Second-order semantics eliminates the need for the comprehension axiom, because these semantics imply that every possible set exists.2) This holds because the set of comprehension axioms is a computable set (i.e., a recursive set).more comprehension axiom sentences |

Euclid axiom | 1) Leibniz's improvement of Euclid's axiom contains the same concept.2) Euclid's fifth axiom 6 of geometry is illustrated in the diagram below.more Euclid axiom sentences |

follow axiom | 1) Different equality axioms are followed by state holders.2) The two dogmas are jointly encapsulated in the following axiom.more follow axiom sentences |

fundamental axiom | 1) Nulle terre sans seigneur was one of the fundamental axioms of feudalism.2) Schleiermacher had no doubts about it: it was the fundamental axiom of his whole system.more fundamental axiom sentences |

group axiom | 1) Thus a group homomorphism respects all the structure of "G" provided by the group axioms.2) With the proper generalization of the group axioms this gives rise to an "n"-ary group.more group axiom sentences |

induction axiom | 1) This sentence is called the second-order induction axiom.2) induction axioms are also implicit, and are needed only to prove program properties.more induction axiom sentences |

logical axiom | 1) Thus non-logical axioms, unlike logical axioms, are not "tautologies".2) We fix some axiomatization of the predicate calculus: logical axioms and rules of inference.more logical axiom sentences |

old axiom | 1) I didn't know the old horse players' axiom "don't make mind bets.2) This case is one which emphatically supports the old axiom: 'Prevention is better than cure'.more old axiom sentences |

Peano axiom | 1) The Peano axioms contain three types of statements.2) The Peano axioms can also be understood using category theory.more Peano axiom sentences |

require axiom | 1) Not every situation requires the axiom of choice.2) However, specifying an isomorphism requires the axiom of choice.more require axiom sentences |

satisfy axiom | 1) These meet and join operations satisfy the axioms defining a lattice.2) One can check that all field axioms are satisfied .more satisfy axiom sentences |

use axiom | 1) Then use all three axioms of a stochastic set.2) Gudykunst uses 47 axioms as building blocks for the theorems of AUM.more use axiom sentences |

ZFC axiom | 1) There are many equivalent formulations of the ZFC axioms.2) Metamath version of the ZFC axioms – A concise and nonredundant axiomatization.more ZFC axiom sentences |

axiom of choice | 1) The proof needs the axiom of choice.2) Not every situation requires the axiom of choice.more axiom of choice sentences |

axiom | 1) Many mathematical axioms are based upon recursive rules.2) Different equality axioms are followed by state holders.more axiom sentences |

## Expressions with the word axiom

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