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"Platonists believe that there is a universal truth underlying all of mathematics. Formalists believe all of mathematics can be defined by a set of predefined rules. Ever wonder about the deeper significance of these two critical mathematical philosophies? Using thought experiments like the Allegory of the Cave and the Barber's Paradox, the great mathematics popularizer and author of Is God a Mathematician?, Mario Livio, untangles these two didactic ways of viewing the world and the very nature of human knowledge."

"The guiding idea behind formalism is that mathematics is not a body of propositions representing an abstract sector of reality but is much more akin to a game, bringing with it no more commitment to an ontology of objects or properties than ludo or chess. This idea has some intuitive plausibility: consider the tyro toiling at multiplication tables or the student using a standard algorithm for differentiating or integrating a function. It also corresponds to some aspects of the practice of advanced mathematicians in some periods-for example, the treatment of imaginary numbers for some time after Bombelli's introduction of them, and perhaps the attitude of some contemporary mathematicians towards the higher flights of set theory. Finally, it is often the position to which philosophically naïve respondents will gesture towards, when pestered by questions as to the nature of mathematics."

Why parallel universes may exist - great podcast/content for #ibtok http://ow.ly/1s78tH #naturalscience #math #senseperception

"Dennis Hlynsky, a film and animation professor at the Rhode Island School of Design, creates videos at the intersection of art and science. Hlynsky transforms ordinary footage of birds and insects into ethereal illustrations by digitally tracing the paths they travel.   To see more work from Hlynsky, visit his Vimeo channel, which features over 90 beautiful videos. "

Could be a great jumping off point for a presentation.