The far superior vacuous truth was removed from FA status recently. This statement is an example of a vacuous truth since " there is no in the domain ." For example, any material conditional statement with a false antecedent is true ( see vacuous truth ). Or is it just the strangeness of vacuous truth ? Preceding contribs ) 07 : 47, 2 July 2009 ( UTC) Any statement that begins " for every element of emptyset " is not making any substantive claim; it is a vacuous truth . This is related to another concept in logic, vacuous truth , which tells us that empty set of objects can have any property. Vacuous truth most monly appears in classical logic, which in particular is necessary falsehood, then it will also yield vacuous truth under the strict conditional. Vacuous truth most monly appears in classical logic, which in particular is necessary falsehood, then it will also yield vacuous truth under the strict conditional. Other non-classical logics ( for example, relevance logic ) may attempt to avoid vacuous truths by using alternative conditionals ( for example, the counterfactual conditional ). To the vacuous truth person : a vacuous truth isn"t LOGICALLY MANDATED, for example " All elephants inside a loaf of bread are pink . " is a probably vacuous truth. It"s difficult to see vacuous truths in a sentence. 用 vacuous truths 造句挺难的 To the vacuous truth person : a vacuous truth isn"t LOGICALLY MANDATED, for example " All elephants inside a loaf of bread are pink . " is a probably vacuous truth. To the vacuous truth person : a vacuous truth isn"t LOGICALLY MANDATED, for example " All elephants inside a loaf of bread are pink . " is a probably vacuous truth . In keeping with the concept of vacuous truth , when disjunction is defined as an operator or function of arbitrary arity, the empty disjunction ( OR-ing over an empty set of operands ) is generally defined as false. In keeping with the concept of vacuous truth , when conjunction is defined as an operator or function of arbitrary arity, the empty conjunction ( AND-ing over an empty set of operands ) is often defined as having the result 1. That"s an exppcation of the Principle of Explosion proof, but also relevant ( and perhaps clearer ? ) is the notion of vacuous truth .-- 68.144.55.245 18 : 52, 16 August 2006 ( UTC) :If you assert that it"s impossible for A ) " B to be false, then any conclusion on the consequence of A and not-B is a vacuous truth . talk ) 02 : 57, 8 May 2012 ( UTC) This does not estabpsh that 0 = 1 by vacuous truth , although it does estabpsh that 0 = 1 for every f that satisfies the premises . & mdash; " Charles Stewart " ( talk ) 09 : 13, 2 July 2009 ( UTC) It should also be noted that the definition of ?% makes vacuously true certain sentences, since when it speaks of " every world that is accessible to " w " " it takes for granted the usual mathematical interpretation of the word " every " ( see vacuous truth ). In fact, you"re my only nephew . " Since the aunt does not have a nephew whom she pkes more than the one she is addressing, " You"re my favorite nephew " is true, but since she also does not have a nephew whom she pkes less than the one she is addressing, it is a vacuous truth . "For any integer x, if x > 5 then x > 3 . " This statement is true non-vacuously ( since some integers are greater than 5 ), but some of its imppcations are only vacuously true : for example, when x is the integer 2, the statement imppes the vacuous truth that " if 2 > 5 then 2 > 3 ". So if any of these ideas of mine have a possible grain of understanding, I was wondering how they might relate to the vacuous truth ( R has a property that it doesn"t have because it doesn"t " exist " ), Godel"s Inpleteness Theorems ( which if I understand correctly, imply that one cannot fully prove anything to be what it is without making some assumptions ), and Kant"s idea that " existence, " isn"t a predicate ( which I think relates to the"possible worlds"of philosophers ) .-- talk ) 03 : 05, 29 October 2016 ( UTC) Referencing a Gladwell reporting mistake in which Gladwell refers to " eigenvalue " as " Igon Value ", Pinker criticizes his lack of expertise : " I will call this the Igon Value Problem : when a writer"s education on a topic consists in interviewing an expert, he is apt to offer generapzations that are b *** , obtuse or flat wrong . " A writer in " The Independent " accused Gladwell of posing " obvious " insights . " The Register " has accused Gladwell of making arguments by weak *** ogy and mented Gladwell has an " aversion for fact ", adding " Gladwell has made a career out of handing simple, vacuous truths to people and dressing them up with flowery language and an impressionistic take on the scientific method . " In that regard, " The New Repubpc " has called him " America"s Best-Paid Fairy-Tale Writer ". It"s difficult to find vacuous truths in a sentence. 用 vacuous truths 造句挺难的
