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Record W1966573921 · doi:10.1109/cimca.2006.211

The Meaningful Infinity

2006· article· en· W1966573921 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldPhysics and Astronomy
TopicAdvanced Mathematical Theories and Applications
Canadian institutionsDalhousie University
FundersAtlantic Canada Opportunities Agency
KeywordsInfinityMathematicsMultiplication (music)SubtractionDivision (mathematics)Order (exchange)CHAOS (operating system)ChaoticControl of chaosArithmeticComputer scienceMathematical analysisCombinatoricsSynchronization of chaosControl (management)Artificial intelligenceControl theory (sociology)

Abstract

fetched live from OpenAlex

Chaos is the order of nature. Nature is characterized by its chaotic variables and processes. These variables and processes are described by numbers and words. Numbers in classical mathematics are static and rigid. However, nature is dynamic and evolutionary. Therefore, it is vital to propose new definitions and meanings for the numbers in order to describe properly nature behavior and therefore know its chaos. For example, the mysterious numbers zero and infinity lack precision. Infinity is defined as being always unlimited. However, when solving mathematical equations, infinity becomes limited, which is contradictory to the previous and original concept. This paper introduces infinity as a dynamic and evolutionary number, which adds meaning and precision to it. The various chaos arithmetic operations involving infinity are defined. They include addition, subtraction, multiplication, and division. This paper represents a novel and essential contribution to establish a new branch of mathematics that is chaos arithmetic.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.977
Threshold uncertainty score0.323

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.004
GPT teacher head0.228
Teacher spread0.225 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it