The axiom of choice and the paradoxes of the sphere
نویسنده
چکیده
منابع مشابه
On characterizations of the fully rational fuzzy choice functions
In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.
متن کاملChanging Gender Stereotypes in Iran
Abstract In recent decades, because of the vast socio-cultural changes which occurred in Iran, Iranian women have experienced new values and identities and they have achieved more advanced education and consciousness, so that they oppose the gender stereotypes which attribute inferior characteristics to women and cause inequalities and limitations in their everyday life. Although gender stereo...
متن کاملOn Tychonoff's type theorem via grills
Let ${X_{alpha}:alphainLambda}$ be a collection of topological spaces, and $mathcal {G}_{alpha}$ be a grill on $X_{alpha}$ for each $alphainLambda$. We consider Tychonoffrq{}s type Theorem for $X=prod_{alphainLambda}X_{alpha}$ via the above grills and a natural grill on $X$ related to these grills, and present a simple proof to this theorem. This immediately yields the classical theorem...
متن کاملTwo Fuzzy Logic Programming Paradoxes Imply Continuum Hypothesis="False"&Axiom of Choice="False"Imply ZFC is Inconsistent
Two different paradoxes of the fuzzy logic programming system of [29] are presented. The first paradox is due to two distinct (contradictory) truth values for every ground atom of FLP, one is syntactical, the other is semantical. The second paradox concerns the cardinality of the valid FLP formulas which is found to have contradictory values: both $\aleph_0$ the cardinality of the natural numbe...
متن کاملTHE URYSOHN AXIOM AND THE COMPLETELY HAUSDORFF AXIOM IN L-TOPOLOGICAL SPACES
In this paper, the Urysohn and completely Hausdorff axioms in general topology are generalized to L-topological spaces so as to be compatible with pointwise metrics. Some properties and characterizations are also derived
متن کامل