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Record W3033182363 · doi:10.31124/advance.12401969.v1

Logic, Probability Theory, and their Application to Legal Reasoning

2020· preprint· en· W3033182363 on OpenAlexaff
Soaad Hossain

Bibliographic record

Venuenot available
Typepreprint
Languageen
FieldMathematics
TopicProbability and Statistical Research
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsCorrectnessComputer scienceProbabilistic logic networkProbability theorySubjective logicProbabilistic argumentationPhilosophy of logicEpistemic modal logicArtificial intelligenceApplied probabilityTheoretical computer scienceMultimodal logicMathematicsAlgorithmAutoepistemic logicDescription logicProbabilistic logicProgramming language

Abstract

fetched live from OpenAlex

Both the use of logic and probability theory are heavily applied in many, if not all, areas and industries due to what they can offer. Logic is well known for enabling one to comprehend many things which include intentions, behavior, beliefs, intelligence, knowledge and languages, and to create algorithms designed to solve simple and complex problems. Probability theory is specifically designed to address uncertainty, which uncertainty exists everywhere. Through pairing probability theory with other disciplines is one able to address uncertainty in other fields. Combined, logic and probability theory enable one to address complex problems in law. This paper will first describe logic and probability theory, then address their application to legal reasoning. Accordingly, I argue that logic and probability theory can be used to validate thoughts and arguments made by lawyers and judges, allowing for better understanding of the validity, coherency, truthfulness of their arguments, and the correctness of the statements and decisions made by them.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.009
metaresearch head score (Gemma)0.022
Version: metacan-v3-hybrid-931329e0061cValidation 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 score0.009
Threshold uncertainty score0.045

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0090.022
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.002
Bibliometrics0.0050.003
Science and technology studies0.0030.020
Scholarly communication0.0080.011
Open science0.0020.004
Research integrity0.0030.005
Insufficient payload (model declined to judge)0.0050.001

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 head0.110
GPT teacher head0.390
Teacher spread0.280 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2020
Admission routes1
Has abstractyes

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