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Mathematical Logic Quarterly, 2016
In this note, we start with the notion of a superhuge cardinal and strengthen it by requiring that the elementary embeddings witnessing this property are, in addition, sufficiently superstrong above their target . This modification leads to a new large cardinal which we call ultrahuge.
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In this note, we start with the notion of a superhuge cardinal and strengthen it by requiring that the elementary embeddings witnessing this property are, in addition, sufficiently superstrong above their target . This modification leads to a new large cardinal which we call ultrahuge.
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On the Cardinality of Relations
2006This paper will discuss and characterise the cardinality of boolean (crisp) and fuzzy relations. The main result is a Dedekind inequality for the cardinality, which enables us to manipulate the cardinality of the composites of relations. As applications a few relational proofs for the basic theorems on graph matchings, and fundamentals about network ...
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Journal of Symbolic Logic, 1965
In this paper, by a function of ordinals we understand a function which is defined for all ordinals and each of whose value is an ordinal. In [7] (also cf. [8] or [9]) we defined recursive functions and predicates of ordinals, following Kleene's definition on natural numbers.
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In this paper, by a function of ordinals we understand a function which is defined for all ordinals and each of whose value is an ordinal. In [7] (also cf. [8] or [9]) we defined recursive functions and predicates of ordinals, following Kleene's definition on natural numbers.
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Mathematical Logic Quarterly, 2008
AbstractA cardinal κ is tall if for every ordinal θ there is an embedding j: V → M with critical point κ such that j (κ) > θ and Mκ ⊆ M. Every strong cardinal is tall and every strongly compact cardinal is tall, but measurable cardinals are not necessarily tall.
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AbstractA cardinal κ is tall if for every ordinal θ there is an embedding j: V → M with critical point κ such that j (κ) > θ and Mκ ⊆ M. Every strong cardinal is tall and every strongly compact cardinal is tall, but measurable cardinals are not necessarily tall.
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Rowbottom cardinals and Jonsson cardinals are almost the same
Journal of Symbolic Logic, 1973Each of the various “large cardinal” axioms currently studied in set theory owes its inspiration to concrete phenomena in various fields. For example, the statement of the well-known compactness theorem for first-order logic can be generalized in various ways to infinitary languages to yield definitions of compact cardinals, and the reflection ...
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GENERICITY AND LARGE CARDINALS
Journal of Mathematical Logic, 2005We lift Jensen's coding method into the context of Woodin cardinals. By a theorem of Woodin, any real which preserves a "strong witness" to Woodinness is set-generic. We show however that there are class-generic reals which are not set-generic but preserve Woodinness, using "weak witnesses".
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2021
Abstract Michele is named cardinal in 1583 by Pope Gregory XIII and is lauded with extensive, and costly, celebrations in Ceneda and Udine. It is the high point of the Della Torre fortunes and reputation. When the pope dies in 1585, Michele is favoured by many to be his successor, but another cardinal is elected instead as Sixtus V ...
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Abstract Michele is named cardinal in 1583 by Pope Gregory XIII and is lauded with extensive, and costly, celebrations in Ceneda and Udine. It is the high point of the Della Torre fortunes and reputation. When the pope dies in 1585, Michele is favoured by many to be his successor, but another cardinal is elected instead as Sixtus V ...
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Cardinality and the borda score
European Journal of Operational Research, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility
Journal of Political Economy, 1955J. Harsanyi
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