Some people find it useful to talk through their problems—but language isn't necessary for logical reasoning, cognitive ...

Mathematical reasoning has long been emphasised as a central component of mathematics education and research. Nevertheless, few studies have synthesised how this concept has been treated both ...

Neuro-Symbolic Math Solver is my research-oriented, web-based artificial intelligence system that integrates the generative reasoning capabilities of Large Language Models (LLMs) with the formal rigor ...

In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although ...

Download PDF Join the Discussion View in the ACM Digital Library The mathematical reasoning performed by LLMs is fundamentally different from the rule-based symbolic methods in traditional formal ...

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Creativity used to be the exclusive domain of humans—artists, writers, and engineers create. They receive help from sophisticated tools, which themselves were created by, and typically could be ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

Choose appropriate methods or models for a given problem, using information from observation or knowledge of the system being studied. Employ quantitative methods, mathematical models, statistics, and ...

This research presents a mathematical model of medical decision support systems that combines the predictive approach of machine learning with the deductive approach of expert systems. This modeling ...

In this review, we focus specifically on transformer-based LLMs, which are built on the transformer architecture, an attention-based mechanism capable of capturing complex dependencies in sequential ...