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Mathematical Logic: On Numbers, Sets, Structures, and Symmetry

Cham, Switzerland: Springer Verlag (2018)

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  1. Between Pathology and Well-Behaviour – A Possible Foundation for Tame Mathematics.Angelo-Vlad Moldovan - 2022 - Studia Universitatis Babeş-Bolyai Philosophia 67 (Special Issue):67-81.
    "An in-depth examination of the foundations of mathematics reveals how its treatment is centered around the topic of “unique foundation vs. no need for a foundation” in a traditional setting. In this paper, I show that by applying Shelah’s stability procedures to mathematics, we confine ourselves to a certain section that manages to escape the Gödel phenomenon and can be classified. We concentrate our attention on this mainly because of its tame nature. This result makes way for a new approach (...)
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  • A Defense of Meaning Eliminativism: A Connectionist Approach.Tolgahan Toy - 2022 - Dissertation, Middle East Technical University
    The standard approach to model how human beings understand natural languages is the symbolic, compositional approach according to which the meaning of a complex expression is a function of the meanings of its constituents. In other words, meaning plays a fundamental role in the model. In this work, because of the polysemous, flexible, dynamic, and contextual structure of natural languages, this approach is rejected. Instead, a connectionist model which eliminates the concept of meaning is proposed.
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