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Full-Text Articles in Other Mathematics

Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler Jan 2022

Wittgenstein On Miscalculation And The Foundations Of Mathematics, Samuel J. Wheeler

Philosophy Faculty Publications

In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has 'not yet made the role of miscalculating clear' and that 'the role of the proposition: "I must have miscalculated"...is really the key to an understanding of the "foundations" of mathematics.' In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a 'foundation' for mathematics. Then, by showing how the proposition 'I must have miscalculated' differentiates mathematics from the physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics.


Dimentia: Footnotes Of Time, Zachary Hait Jan 2021

Dimentia: Footnotes Of Time, Zachary Hait

Senior Projects Spring 2021

Time from the physicist's perspective is not inclusive of our lived experience of time; time from the philosopher's perspective is not mathematically engaged, in fact Henri Bergson asserted explicitly that time could not be mathematically engaged whatsoever. What follows is a mathematical engagement of time that is inclusive of our lived experiences, requiring the tools of storytelling.


Revolution In Ideology: Crafting A Holistic Scientific Dialectic, Nathan Neill May 2017

Revolution In Ideology: Crafting A Holistic Scientific Dialectic, Nathan Neill

Dialogue & Nexus

Ideology drives scientific research far more than is acknowledged. Since science itself is conducted by individuals, each scientist has a biased conception of themselves and their surroundings relative to the rest of the universe, even if it is never explicated. This sense of relation to the greater universe is what defines the ideology of the individual. It is this sense of relation and self that creates the individual, who goes on to investigate the natural world by the scientific method. In this paper I will examine extant scientific ideology, particularly in Western science, and propose changes that could be helpful.


Oyun: A New, Free Program For Iterated Prisoner’S Dilemma Tournaments In The Classroom, Charles H. Pence, Lara Buchak Jan 2012

Oyun: A New, Free Program For Iterated Prisoner’S Dilemma Tournaments In The Classroom, Charles H. Pence, Lara Buchak

Faculty Publications

Evolutionary applications of game theory present one of the most pedagogically accessible varieties of genuine, contemporary theoretical biology. We present here Oyun (oy-oon, http://charlespence.net/oyun), a program designed to run iterated prisoner's dilemma tournaments, competitions between prisoner's dilemma strategies developed by the students themselves. Using this software, students are able to readily design and tweak their own strategies, and to see how they fare both in round-robin tournaments and in “evolutionary” tournaments, where the scores in a given “generation” directly determine contribution to the population in the next generation. Oyun is freely available, runs on Windows, Mac, and Linux computers, …


Morphogrammatics Of Reflection, Rudolf Kaehr Nov 2010

Morphogrammatics Of Reflection, Rudolf Kaehr

Rudolf Kaehr

Turning back from the studies of morphogrammatics to some open questions of reflectional programming, the recountered problematics might be put into a different light and new methods of handling formal aspects of reflection and reflectionality shall be introduced. Albeit the use of light-metaphors, morphogrammatic reflection is not sketched along the paradigm of optical metaphors. Morphograms are presenting neither propositions nor perceptions able for mirroring (representation). Exercises in defining morphogrammatic retro-grade recursion and reflection schemata are continued from the paper “Sketches to Morphogrammatic Programming”.


Memristics: Memristors, Again? – Part Ii, How To Transform Wired ‘Translations’ Between Crossbars Into Interactions?, Rudolf Kaehr Apr 2010

Memristics: Memristors, Again? – Part Ii, How To Transform Wired ‘Translations’ Between Crossbars Into Interactions?, Rudolf Kaehr

Rudolf Kaehr

The idea behind this patchwork of conceptual interventions is to show the possibility of a “buffer-free” modeling of the crossbar architecture for memristive systems on the base of a purely difference-theoretical approach. It is considered that on a nano-electronic level principles of interpretation appears as mechanisms of complementarity. The most basic conceptual approach to such a complementarity is introduced as an interchangeability of operators and operands of an operation. Therefore, the architecture of crossbars gets an interpretation as complementarity between crossbar functionality and “buffering” translation functionality. That is, the same matter functions as operator and at once, as operand – …


Memristics: Memristors, Again?, Rudolf Kaehr Apr 2010

Memristics: Memristors, Again?, Rudolf Kaehr

Rudolf Kaehr

This collection gives first and short critical reflections on the concepts of memristics, memristors and memristive systems and the history of similar movements with an own focus on a possible interplay between memory and computing functions, at once, at the same place and time, to achieve a new kind of complementarity between computation and memory on a single chip without retarding buffering conditions.


Sketch Of A Typology Of Abstract Memristic Machines, Rudolf Kaehr Jan 2010

Sketch Of A Typology Of Abstract Memristic Machines, Rudolf Kaehr

Rudolf Kaehr

A typology of memristic machines is sketched. This sketch gives an overview and orientation to the paper “Towards Abstract Memristic Machines”. It also intents to propose a concise systematization of the newly introduced terms and strategies to memristics and morphogrammatics. This sketch is introducing four types of sign-use for four types of machines of fundamentally different paradigms: 1. semiotic, 2. monomorphic, 3. polymorphic and 4. bisimilar abstract machines. Further definitions of abstract machines have to be based on those graphematic notational systems. A realization of such constructions of abstract machines, in contrast to existing abstract machines of the theory of …


Towards Abstract Memristic Machines, Rudolf Kaehr Jan 2010

Towards Abstract Memristic Machines, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


From Universe To Polyverses, Rudolf Kaehr Jan 2010

From Universe To Polyverses, Rudolf Kaehr

Rudolf Kaehr

Some thoughts about the power of speculation behind important discoveries in mathematics, physics and computer science. The exercise shows that there is no need for a compulsory ultimate unifying universe. It is speculated that just this paradigm of a single ultimate universe is unmasking itself today as the main obstacle for further development in Western science and technology.


Morphogrammatics For Dummies: The Domino Approach, Rudolf Kaehr Jan 2010

Morphogrammatics For Dummies: The Domino Approach, Rudolf Kaehr

Rudolf Kaehr

Dominoes, morphograms, cellular automata, memristics. Topics: possible continuation, coalitions, cooperations, substitution, morphic bisimilarity.


The Logic Of Bailout Strategies, Rudolf Kaehr Jan 2009

The Logic Of Bailout Strategies, Rudolf Kaehr

Rudolf Kaehr

Some thoughts about/of the logic, blend, chiasm and diamond of bailout strategies. Eliciting aspects of the maxim: “Without insurrection, no resurrection".


Diamond Semiotic Short Studies, Rudolf Kaehr Jan 2009

Diamond Semiotic Short Studies, Rudolf Kaehr

Rudolf Kaehr

A collection of papers on semiotics, polycontexturality and diamond theory


Diamond Theory Collections. A Collection Of Papers And Fragments Towards Diamond Theory 2007-2009, Rudolf Kaehr Dec 2008

Diamond Theory Collections. A Collection Of Papers And Fragments Towards Diamond Theory 2007-2009, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Double Cross Playing Diamonds, Rudolf Kaehr Jan 2008

Double Cross Playing Diamonds, Rudolf Kaehr

Rudolf Kaehr

Understanding interactivity in/between bigraphs and diamonds Grammatologically, the Western notational system is not offering space in itself to place sameness and otherness necessary to realize interaction/ality. Alphabetism is not prepared to challenge the dynamics of interaction directly. The Chinese writing system in its scriptural structuration, is able to place complex differences into itself, necessary for the development and design of formal systems and programming languages of interaction. The challenge of interactionality to Western thinking, modeling and design interactivity has to be confronted with the decline of the scientific power of alpha-numeric notational systems as media of living in a complex …


Short Studies 2008. Adventures In Diamond Strategies Of Change(S), Rudolf Kaehr Jan 2008

Short Studies 2008. Adventures In Diamond Strategies Of Change(S), Rudolf Kaehr

Rudolf Kaehr

Modular Bolognese Paradoxes of postmodern education. A Tale of Fishes, Birds and Diamonds in Second-Order Epistemology Why it is useless to write about the mono-contexturality of alphabetism and digitalism Chez Maxime's Human rights in a polycontextural world Primary Thoughts to a Manifesto for Awareness Fashion Marketing Which Equality? How equal are equal human beings? Generalized Diamonds From monosemic to tectonic complementarity Diamond Disremption Diamond interpretation of the kenomic succession operation Diamond Web2.0? How social is social networking? Web Mobility Web computing between semiotic and kenomic spaces Double Cross Playing Diamonds Understanding interactivity in/between bigraphs and diamonds Morphogrammatics of Change A …


Actors, Objects, Contextures, Morphograms, Rudolf Kaehr Jan 2007

Actors, Objects, Contextures, Morphograms, Rudolf Kaehr

Rudolf Kaehr

Systematic and historic overview and critics of actor and object oriented programming.


From Dialogues To Polylogues, Rudolf Kaehr Jan 2007

From Dialogues To Polylogues, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


The Abacus Of Universal Logics, Rudolf Kaehr Dec 2006

The Abacus Of Universal Logics, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Place-Valued Logics Around Cybernetic Ontology, The Bcl And Afosr, Rudolf Kaehr Jan 2006

Place-Valued Logics Around Cybernetic Ontology, The Bcl And Afosr, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


From Ruby To Rudy, Rudolf Kaehr Jan 2006

From Ruby To Rudy, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


The Chinese Challenge. Hallucinations For Other Futures, Rudolf Kaehr Jan 2006

The Chinese Challenge. Hallucinations For Other Futures, Rudolf Kaehr

Rudolf Kaehr

The main question is: What can we learn from China that China is not teaching us? It is proposed that a study of polycontextural logic and morphogrammatics could be helpful to discover this new kind of rationality.


Fibonacci In Contextures, An Application, Rudolf Kaehr Jan 2005

Fibonacci In Contextures, An Application, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Contextures. Programming Dynamic Complexity, Rudolf Kaehr Jan 2005

Contextures. Programming Dynamic Complexity, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Gödel Games: "Cloning Gödel's Proofs", Rudolf Kaehr Jan 2005

Gödel Games: "Cloning Gödel's Proofs", Rudolf Kaehr

Rudolf Kaehr

Gödel's Proofs in the context of beautifying (Hehner) and re-beautifying in polycontextural logic. Deconstruction of the relevance.


Lambda Calculi In Polycontextural Situations, Rudolf Kaehr Jan 2005

Lambda Calculi In Polycontextural Situations, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Polylogics. Towards A Formalization Of Polycontextural Logics, Rudolf Kaehr Jan 2005

Polylogics. Towards A Formalization Of Polycontextural Logics, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.


Miniaturen. Studien Zu Kalkül Und Kreativität 1998-2002, Rudolf Kaehr Jan 2004

Miniaturen. Studien Zu Kalkül Und Kreativität 1998-2002, Rudolf Kaehr

Rudolf Kaehr

Informatik, künstlerische Praktik und Kunsttheorie der digitalen Bildtechnologien NULL&NICHTS; weder leer, noch nicht – oder Kraut und Rüben Gedanken zu einer autonomen Medienwissenschaft Das Menschenbild aus der Sicht einer polykontexturalen Systemtheorie Thesen zum trans-klassischen Menschenbild Gebaute Phantasien, unkontrollierbare Schwankungen Kreativität und Kalkül Ver_Endungen in/der Programmierbarkeit Diagrammatik: Denken a la Carte Zur Verstörung des (H)ortes der Zerstörung Zur Kenogrammatik der Medientheorie


Dynamic Semantic Web, Rudolf Kaehr Jan 2004

Dynamic Semantic Web, Rudolf Kaehr

Rudolf Kaehr

Dynamic Semantic Web (DSW) is based at first on the techniques, methods and paradigms of the emerging Semantic Web movement and its applications. DSW is advancing one fundamental step further from a static to a dynamic concept of the Semantic Web with extended flexibility in the navigation between ontologies and more profound transparency of the informational system. Web Services are now redefinded by Semantic Web. To proof the advantages of DSW, it is the main aim of this project to develop the tools and methods necessary to develop a DSW based Web Service (DSW business application). The existing framework of …


Strukturationen Der Interaktivität, Rudolf Kaehr Dec 2002

Strukturationen Der Interaktivität, Rudolf Kaehr

Rudolf Kaehr

No abstract provided.