Mathematische Modellierung bei Platon zwischen Thales und Euklid

Lattmann, Claas

doi:10.1515/9783110616491

Cited by 9 publications

(4 citation statements)

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“…This separation is similar to genotype and phenotype observations. The problematic accessibility for inner parameters has already been discussed by Platon in his analogy of the cave (see, for instance, [16]). Development of an understanding based on outer parameters is a real challenge that is difficult to overcome.…”

Section: The Model As Mediator In Empiric Model-based Reasoningmentioning

confidence: 91%

“…K.R. Popper 16 , however, strictly deny usefulness and utility of induction and avoid usage of induction.…”

Section: The Obstinacy Of Classical Logicsmentioning

confidence: 99%

“…As a referent, we observe some situation in our world. Following the consideration by [16] on the three analogies by Platon (analogy of the cave, of the sun, and of the divided line), the referent recognises shadows in the observable world, builds some comprehension based on the thoughts and his/her intellect, and uses some language (not necessarily natural one; potentially some visual one) for reflection by terms, e.g. signs and images.…”

Section: Principles and Assumptions Of Reasoning By Modelsmentioning

confidence: 99%

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Reasoning Through Models

Thalheim

2022

Frontiers in Artificial Intelligence and Applications

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Models are used everywhere, in daily life, sciences, engineering, and thoughts. They represent, support, and enable our thinking, acting, reflecting, communication, and understanding. They are universal instruments. Reasoning through and by models is, however, different from those that we use in ‘exact’ sciences and is far less understood. The notion of model is becoming nowadays well-accepted. Reasoning through models is far less understood and a long lacuna. This keynote aims at closing this gap.

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Section: The Model As Mediator In Empiric Model-based Reasoningmentioning

confidence: 91%

“…K.R. Popper 16 , however, strictly deny usefulness and utility of induction and avoid usage of induction.…”

Section: The Obstinacy Of Classical Logicsmentioning

confidence: 99%

Section: Principles and Assumptions Of Reasoning By Modelsmentioning

confidence: 99%

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Reasoning Through Models

Thalheim

2022

Frontiers in Artificial Intelligence and Applications

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“…For instance, 'father-son' is a relationship between two 'person' entities." I.e., the semantics of natural language-and thus its intrinsic a priori [39][40][41] knowledge-are used to determine (the meaning of) concepts.…”

Section: Characteristic 3: Purpose and Functionmentioning

confidence: 99%

The triptych of conceptual modeling

Mayr

Thalheim

2020

Softw Syst Model

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We understand this paper as a contribution to the “anatomy” of conceptual models. We propose a signature of conceptual models for their characterization, which allows a clear distinction from other types of models. The motivation for this work arose from the observation that conceptual models are widely discussed in science and practice, especially in computer science, but that their potential is far from being exploited. We combine our proposal of a more transparent explanation of the nature of conceptual models with an approach that classifies conceptual models as a link between the dimension of linguistic terms and the encyclopedic dimension of notions. As a paradigm we use the triptych, whose central tableau represents the model dimension. The effectiveness of this explanatory approach is illustrated by a number of examples. We derive a number of open research questions that should be answered to complete the anatomy of conceptual models.

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Thales von Milet

Herrmann¹

2020

Die Antike Mathematik

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Mathematische Modellierung bei Platon zwischen Thales und Euklid

Cited by 9 publications

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Reasoning Through Models

Reasoning Through Models

The triptych of conceptual modeling

Thales von Milet

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