A property of the real line equivalent to the continuum hypothesis

A Property of the Real Line Equivalent to the Continuum Hypothesis

Some Propositions Equivalent to the Continuum Hypothesis

Let 8 denote the real line. If TQ& and r £ 8 , we set {t+r: / £ J H } = r [ r ] . In [ l ] we have proved these two theorems: (BK) Let S C S , T C 8 , S be at most enumerable and T be of first category. Then 8 contains a residual subset R such that SC\T\r\ is empty for every rÇzR. (BM) Let S C S , 2"C8, S be at most enumerable and T be of measure zero. Then 8 contains a subset R such that 8— Ri...

from linguistics to literature: a linguistic approach to the study of linguistic deviations in the turkish divan of shahriar

chapter i provides an overview of structural linguistics and touches upon the saussurean dichotomies with the final goal of exploring their relevance to the stylistic studies of literature. to provide evidence for the singificance of the study, chapter ii deals with the controversial issue of linguistics and literature, and presents opposing views which, at the same time, have been central to t...

a synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language

terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...

surveying the relevance of proportions to the content of quran verses

چکیده : قرآن چشمه سار زلال هدایتی است که از سوی خداوند حکیم نازل شده تا بشر را به سر منزل کمال برساند. و در این راستا از شیوه های گوناگون بیانی خطابی و بلاغی استفاده کرده تا با فطرت زیبا طلب انسان درآمیزد و اورا مقهور خویش ساخته، به سوی کمالات سوق دهد.ازجمله جنبه های بارز اعجاز بیانی قرآن وجود فواصل در پایان آیات است که کار برد سجع و قافیه در کلام بشر شبیه آن است. برخی ازعلمای سلف تفاوت هایی ب...