Deniz Sarikaya

Deniz Sarikaya
University of Hamburg | UHH · Department of Philosophy

M.Sc. M.A. B.Sc. B.A.

About

17
Publications
1,176
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19
Citations
Introduction
I am Deniz Sarikaya and doing a PhD in Philosophy at the University of Hamburg (UHH) funded by the Studienstiftung des deutschen Volkes (German Academic Scholarship Foundation) with additional ideal support by the Claussen-Simon-Stiftung. I am also a guest of the Bereich Mathematische Logik und interdisziplinäre Anwendungen der Logik, chair: Benedikt Löwe and I am an external member of the Arbeitsgruppe of Benjamin Rott at the Institut für Mathematikdidaktik of the University of Cologne.
Education
October 2010 - March 2022
University of Hamburg
Field of study
  • Philosophy and Mathematics; currently PhD Student

Publications

Publications (17)
Article
We give an overview of Lakatos’ life, his philosophy of mathematics and science, as well as of this issue. Firstly, we briefly delineate Lakatos’ key contributions to philosophy: his anti-formalist philosophy of mathematics, and his methodology of scientific research programmes in the philosophy of science. Secondly, we outline the themes and struc...
Article
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Policy-makers often rely on scientists to inform their decisions. When advising policy-makers, what should scientists say? One view says that scientists ought to say what they have a high credence in. Another view says that scientists ought to say what they expect to lead to good policy outcomes. We explore a third view: scientists ought to say wha...
Article
Full-text available
In this work we argue that there is no strong demarcation between pure and applied mathematics. We show this first by stressing non-deductive components within pure mathematics, like axiomatization and theory-building in general. We also stress the “purer” components of applied mathematics, like the theory of the models that are concerned with prac...
Article
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There are different narratives on mathematics as part of our world, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’, ‘Mathematics is beautiful’, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing...
Article
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This work gives a new argument for ‘Empirical Philosophy of Mathematical Practice’. It analyses different modalities on how empirical information can influence philosophical endeavours. We evoke the classical dichotomy between “armchair” philosophy and empirical/experimental philosophy, and claim that the latter should in turn be subdivided in thre...
Article
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The frame concept from linguistics, cognitive science and artificial intelligence is a theoretical tool to model how explicitly given information is combined with expectations deriving from background knowledge. In this paper, we show how the frame concept can be fruitfully applied to analyze the notion of mathematical understanding. Our analysis a...
Chapter
Auch im Herbst 2020 hat sich der GDM-Arbeitskreis Problemlösen – trotz oder gerade wegen der im Hinblick auf Treffen im Allgemeinen und Tagungen im Speziellen schwierigen Situation aufgrund der Corona-Pandemie – zusammengefunden, um sich über aktuelle Erkenntnisse und Überlegungen aus dem Themenfeld des Problemlösens und -stellens auszutauschen. Au...
Preprint
In this paper we extend a result about a sufficient condition for Hamiltonicity for finite graphs by Broersma and Veldmann to locally finite graphs. In order to do this we use topological circles within the Freudenthal compactification of a locally finite graph as infinite cycles. The condition we focus on in this paper is in terms of forbidden ind...
Preprint
In a series of papers, of which this is the first, we study sufficient conditions for Hamiltonicity in terms of forbidden induced subgraphs and extend such results to locally finite infinite graphs. For this we use topological circles within the Freudenthal compactification of a locally finite graph as infinite cycles. In this paper we focus on con...
Chapter
Frames are a concept in knowledge representation that explains how the receiver, using background information, completes the information conveyed by the sender. This concept is used in different disciplines, most notably in cognitive linguistics and artificial intelligence. This paper argues that frames can serve as the basis for describing mathema...
Book
In a fragment entitled Elementa Nova Matheseos Universalis (1683?) Leibniz writes “the mathesis […] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branche...
Book
This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundat...
Article
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Der Mathematik wird ein Sonderstatus in wissenschaftstheoretischen Debatten zugeschrieben. Dieser wird an ihrer deduktiven Methode festgemacht. Die Mathematik scheint kumulativ Wissen anzuhäufen. Keine mathematische Theorie wurde jemals widerlegt, lediglich ihr Geltungsbereich wurde eingeschränkt – oder mit den Worten Hempels: " A mathematical theo...
Article
Interested in formally modelling similarity between narratives, we investigate judgements of similarity between narratives in a small corpus of film reviews and book-film comparisons. A main finding is that judgements tend to concern multiple levels of story representation at once. As these texts are pragmatically related to reception contexts, we...
Article
Full-text available
Formal narrative representation is a procedure assigning a formal description to a natural language narrative. In general, it is a human procedure, and one of the goals of "computational models of narrative" is to understand this procedure better in order to automatise it. In order to be automatisable, a formal framework should allow for objective...

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