In a thorough manner Post demonstrates in PM, and defines ( as do Nagel and Newman, see below ), that the property of " tautologous " as yet to be defined is " inherited " : if one begins with a set of tautologous axioms ( postulates ) and a deduction system that contains substitution and modus ponens then a " consistent " system will yield only tautologous formulas.
32.
In a thorough manner Post demonstrates in PM, and defines ( as do Nagel and Newman, see below ), that the property of " tautologous " as yet to be defined is " inherited " : if one begins with a set of tautologous axioms ( postulates ) and a deduction system that contains substitution and modus ponens then a " consistent " system will yield only tautologous formulas.
33.
In a thorough manner Post demonstrates in PM, and defines ( as do Nagel and Newman, see below ), that the property of " tautologous " as yet to be defined is " inherited " : if one begins with a set of tautologous axioms ( postulates ) and a deduction system that contains substitution and modus ponens then a " consistent " system will yield only tautologous formulas.
34.
It is almost tautologous to say that the subsets of a given set " X " are " the same as " ( just as good as ) the functions on " X " to any such given two-element set : fix the'first'element and make a subset " Y " correspond to the function sending " Y " there and its complement in " X " to the other element.
35.
Of course, that's one of the main risks for diabetics " today ", we've only recently learnt how to manage the condition, so diabetics even just 100 ( or maybe even 50 ) years ago would probably have died long before their feet started having problems, and you can't get much evolution in 4 or 5 generations ( except in exceptional circumstances is that tautologous ? ! ) .-- talk ) 13 : 25, 11 June 2008 ( UTC)
36.
He had a strong emphasis on formality, in particular formal definition, and also emphasized the idea of substitution of synonymous terms . " All bachelors are unmarried " can be expanded out with the formal definition of bachelor as " unmarried man " to form " All unmarried men are unmarried ", which is recognizable as tautologous and therefore analytic from its logical form : any statement of the form " All " X " that are ( " F " and " G " ) are " F " ".
37.
Bahasa language should not exist-it is tautologous and a misuse of the words from both languages potentially makes wikipedia look like a blog like scrapbook not an online encylopedia-if the delete goes ahead-some consideration will have to be made for the re-naming of the absurdly named Bahasa language disambiguation page-and a new RS V and N compliant article that deals with common misunderstandings and usages of the words and their context that moves beyond the issues raised by the Afd nominater and supporters-the article might be removed but the issue remains Suro 04 : 28, 25 June 2008 ( UTC)
