Concepts, Methods, & Heuristics in Proofs and Refutations - Chapter 1, §§1-3

An ongoing list of the concepts, methods, and heuristics used by the characters of Proofs and Refutations: The Logic of Mathematical Discovery, by Imre Lakatos. This is what I would have found useful the first time reading Proofs and Refutations, and I hope you find it useful too.

Chapter 1, §§1-3 focus on a proposed proof for the Descartes-Euler conjecture (the Cauchy proof) and types of counterexamples.

Asymmetries of Information: Intellectual Property & Social Capital

When we discuss inequality and injustice in our modern economy, should we put less emphasis on the asymmetries of ownership of physical means of production, and more emphasis on the unequal possession of knowledge and information?

I discuss ‘monopolies founded on intellectual property’ and ‘the economic role of universities to produce social capital’.