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Showing 1 to 3 of 3 for “"BOOLEAN-VALUED MODELS"”.
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Boolean-Valued Models and Their Applications
Boolean-valued models generalize classical two-valued models by allowing arbitrary complete Boolean algebras as value ranges. The goal of my dissertation is to study Boolean-valued models and explore their philosophical and mathematical applications. In Chapter 1, I build a robust theory of …
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Boolean-Valued Models of Set Theory When the Boolean Algebra Is a Proper Class in the Ground Model
Made available in DSpace on 2014-12-11T18:23:48Z (GMT). No. of bitstreams: 1 7212333.pdf: 1635163 bytes, checksum: 788a4cd116ac0b9256dcde5f7153f601 (MD5) Previous issue date: 1971
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ΜΙΑ ΜΠΟΥΛΙΑΝΗ ΓΕΝΙΚΕΥΣΗ ΤΗΣ ΑΠΕΙΡΟΣΤΙΚΗΣ ΑΝΑΛΥΣΗΣ ΜΕ ΕΦΑΡΜΟΓΕΣ ΣΤΑ ΑΣΑΦΗ ΣΥΝΟΛΑ
… SPACE (Ω, Α, Ρ), THAT LOADS US TO THE BOOLEAN ANALYSIS. INTERNAL-EXTERNAL SETS, MOSTOWSKI'S COLLAPSING TRANSFER PRINCIPLE AND OTHER NOTIONS OF NON STANDARD ANALYSIS ARE ALSO GENERALIZED. WE USE THE THEORY OF BOOLEAN POWERS AND FINALLY WE GET A BOOLEAN- VALUED MODEL OF THE REALS (IR#), …