# Unified Inductive Logic: From Formal Learning to Statistical Inference to Supervised Learning

arXiv: https://arxiv.org/abs/2412.02969 · HTML: https://mlsanity.com/paper/2412.02969/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Dec 2024.

## Built on by (most cited first, 1 of 1)

- [Statistical learning theory and Occam's razor: Regularization](https://mlsanity.com/paper/2608.04049/) (2026)

## Abstract (arXiv)

While the traditional conception of inductive logic is Carnapian, I develop a Peircean alternative and use it to unify formal learning theory, statistics, and a significant part of machine learning: supervised learning. Some crucial standards for evaluating non-deductive inferences have been assumed separately in those areas, but can actually be justified by a unifying principle.