Political thinking

Canvasser for Liberal Party: "Will you support the Liberals this time?"

Welsh Mathematician: "No that is impossible. In the past the Liberal Party occupied a position between the left wing of the Conservative Party and the right wing of the Labour Party.

Then the left wing of the Conservative Party moved further left and the right wing of the Labour Party moved further right, so the Liberal Party was squeezed out until ultimately it had to perform the difficult task of inserting itself between two coincident points.

Since the Conservatives went on moving left and the Labour Party went on moving right the Liberals now occupy what is mathematically an imaginary point in space. How can I vote for an imaginary party?