摘要:In this article, we will show how imagination and time are
two sides of the same coin. To explain this, we require that imagination
posits countability of alternatives. A countable set of alternatives can be
sequenced on a timeline, for example the thinking human¡¯s past, or it
can be expressed as a countably infinite set of cycles such as a Fourier
transform gives us. At the heart of our discussion is a technical
argument arising from Cantor¡¯s diagonal method. A conclusion that we
arrive at is that the finite/infinite opposition, in particular in
philosophy, is confusing at best. Instead we propose a
countable/uncountable opposition as being a far clearer basis for
understanding human imagination and as a basis for the philosophy of
time. We discuss Kant, Heidegger and G.del in this light. We draw out
implications for ¡°machine imagination,¡± and we propose a new basis
for understanding human creativity and imagination.
关键词:Imagination, time, collective intelligence, machine learning