02 / Explorations
Problems are places
to explore.
Investigations, proofs, models, and reflections from inside the problem-solving process.
01
An investigation into proof
An independent exploration of patterns, conjectures, and the reasoning that turns an observation into a convincing argument.
This space can hold the original question, examples you tested, the conjecture you formed, and how your final proof developed.
02
Mathematics across disciplines
An interdisciplinary investigation into how mathematical ideas connect with questions in philosophy or psychology.
The direction is still taking shape: it may explore logic, knowledge, and infinity through philosophy, or decision-making, perception, and uncertainty through psychology.
03
A problem-solving journal
A growing collection of difficult problems, incomplete attempts, elegant solutions, and the lessons found between them.
Use this area to share selected problems and explain the change in perspective that made each solution possible.