Mathematics and Analogical Reasoning (11-12 September 2020)
Idea and Motivation
The goal of this conference is to investigate the role of mathematics as a heuristic device for analogical reasoning in science and philosophy.
Questions we aim to address at the conference include (but are not limited to):
- How can a positive mathematical analogy generate support for a particular theoretical view about otherwise disconnected physical systems?
- Can we be sure that epistemic lessons from one domain carry over to another domain, given that there are always known points of disanalogy? If so, how?
- Does the fact that shared mathematical structures can generate new scientific insights have a bearing on (enhanced) indispensability arguments for mathematical realism?
- How can a mathematical analogy generate understanding of one system given our understanding of the model system?
- What is an adequate methodology for analogical reasoning about meta-empirical domains (like mathematics or ethics)?
- Are the mathematical background assumptions of recent arguments featuring mathematical analogies plausible (specifically in light of recent pluralist developments in set theory)?