vacuous truths造句

• 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 commonly appears in classical logic, which in particular is necessary falsehood, then it will also yield vacuous truth under the strict conditional.
• Vacuous truth most commonly 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.
• 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 explication 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 establish that 0 = 1 by vacuous truth, although it does establish 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 likes 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 likes 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 implications are only vacuously true : for example, when x is the integer 2, the statement implies the vacuous truth that " if 2 > 5 then 2 > 3 ".