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axiom

more about axiom

axiom


  5  definitions  found 
 
  From  Webster's  Revised  Unabridged  Dictionary  (1913)  [web1913]: 
 
  Axiom  \Ax"i*om\,  n.  [L.  axioma,  Gr  ?  that  which  is  thought 
  worthy,  that  which  is  assumed,  a  basis  of  demonstration,  a 
  principle,  fr  ?  to  think  worthy,  fr  ?  worthy,  weighing  as 
  much  as  cf  ?  to  lead,  drive,  also  to  weigh  so  much:  cf  F. 
  axiome  See  {Agent},  a.] 
  1.  (Logic  &  Math.)  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.'' 
 
  2.  An  established  principle  in  some  art  or  science,  which 
  though  not  a  necessary  truth,  is  universally  received;  as 
  the  axioms  of  political  economy. 
 
  Syn:  {Axiom},  {Maxim},  {Aphorism},  {Adage}. 
 
  Usage:  An  axiom  is  a  self-evident  truth  which  is  taken  for 
  granted  as  the  basis  of  reasoning.  A  maxim  is  a 
  guiding  principle  sanctioned  by  experience,  and 
  relating  especially  to  the  practical  concerns  of  life. 
  An  aphorism  is  a  short  sentence  pithily  expressing 
  some  valuable  and  general  truth  or  sentiment.  An  adage 
  is  a  saying  of  long-established  authority  and  of 
  universal  application. 
 
  From  WordNet  r  1.6  [wn]: 
 
  axiom 
  n  1:  a  saying  that  widely  accepted  on  its  own  merits  [syn:  {maxim}] 
  2:  in  logic:  a  proposition  that  is  not  susceptible  of  proof  or 
  disproof;  its  truth  is  assumed  to  be  self-evident 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  AXIOM 
 
    A  commercially  available  subset  of  {Scratchpad}, 
  from  {IBM}. 
 
  ["Axiom  -  The  Scientific  Computing  System",  R.  Jenks  et  al 
  Springer  1992]. 
 
  (1995-02-21) 
 
 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  axiom 
 
    A  {well-formed  formula}  which  is  taken  to  be  true 
  without  proof  in  the  construction  of  a  {theory}. 
 
  Compare:  {lemma}. 
 
  (1995-03-31) 
 
 
 
  From  The  Free  On-line  Dictionary  of  Computing  (13  Mar  01)  [foldoc]: 
 
  AXIOM* 
 
    A  {symbolic  mathematics}  system. 
 
  {A#}  is  one  component  of  AXIOM*. 
 
  Version:  2. 
 
  (1995-02-21) 
 
 




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