Does infinity really come in multiple sizes? According to mathematical orthodoxy, some infinities are bigger than others – but that’s awfully hard to wrap your mind around. So, I’ve asked Dr. Toby Meadows from the University of Queensland to help me out. He specializes in the philosophy of mathematics and set theory.
Why is the world of ideas dominated by male thinkers? Is it because women are discouraged from intellectual life – or is it because women tend to choose other careers?
If we go even deeper: why do women (and men) make the choices they do? Is it because they are influenced by overwhelming societal pressures – or are they acting freely?
These are the questions I’ve asked Dr. Michelle Boulous-Walker, who teaches at the University of Queensland in Brisbane, Australia.
If we choose to argue, have we presupposed an ethical framework? Is “self-ownership” a concept that cannot coherently be doubted?
To help me answer these questions, I’m joined by one of the most prominent supporters of “argumentation ethics” – the theory that says ownership is inescapable, and as soon as we choose to argue, we’re committed to a set of ethical values.