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Computability, Notation, and de re Knowledge of Numbers
Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two ...
Stewart Shapiro +2 more
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Notation Reloaded: eXtensible Dance Scripting Notation
This paper presents a new form of dance notation that has a hand written and machine readable format: eXtensible Dance Scripting Notation (xdsn). The notation system is designed to be quick to write, simple to learn and able to handle complex, emergent ...
Zofia Sleziak
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Mathematics and Its Ideologies (An Anthropologist's Observations)
Starting from the profound impact of Kenneth Arrow's Impossibility Theorem on the social sciences of the postwar twentieth century, this essay engages with the ways in which mathematics can be seen as a language-ideologically inflated notational system.
Jan Blommaert
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Author’s Comments in the Conceptual Space of Musical Text: to the Methodology of Research of Musician Teacher [PDF]
This article presents the problem of the relationship between two landmark subsystems in the conceptual space of the musical composition text: notation and author’s instructions, comments of various types and functions.
Augusta V. Malinkowskaya
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Abstract This article is the first in a series formalizing some results in my joint work with Prof. Joanna Golinska-Pilarek ([12] and [13]) concerning a logic proposed by Prof. Andrzej Grzegorczyk ([14]). We present some mathematical folklore about representing formulas in “Polish notation”, that is, with operators of ...
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Rehearsing a new contemporary notated piano score often requires the performer to dedicate a large amount of time to translating the notation: tasks may include interpreting new symbols, or old symbols in new contexts, learning new extended techniques ...
Jennifer MacRitchie
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Rounding, stipulation and notation issues in measurement [PDF]
In the context of measurement and of the definition of measurement units, a problem well known in computing science, the inherent propagation and accumulation of rounding errors throughout the intermediate steps of numerical calculation, is discussed in ...
Pavese F.
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Mikhail Aleksandrovich Lobanov: serving the science
October 16, 2018 is the 75th anniversary of the birth of an outstanding ethnomusicologist and folklorist, Doctor of Art History, professor M. A. Lobanov. His life and work are the examples of selfless devotion and service to science.
Nikolai I. Boiarkin
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Presage: What Knowledge and Experience Higher Education Songwriting Students Bring to the Classroom [PDF]
This study analyses the responses of seventy-six students from three Australian higher education institutions in New South Wales entering the songwriting classroom for the first time. While it was assumed that most students had previously composed songs,
Diana Blom, Kim Poole
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How Notations Are Developed: A Proposed Notational Lifecycle [PDF]
Notations develop over time. We propose that they characteristically pass through a series of development stages, starting very simple and becoming more complex, reaching a stage of complexity that hinders their usability: then, often, a new higher-level notation is developed that is once again simple, and will perhaps pass through the same development.
Thomas R. G. Green, Noora Fetais
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