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It seems that quite a number of categorical remarks got thrown around by Lawrence Krauss – about philosophers, theologians and physicists – in the discussions surrounding his recent book A Universe From Nothing. But, as is often the case, these kinds of categorical judgments, that question the value of very different kinds of work, do […] I’ve spent a considerable amount of time thinking about how, if mathematics grows out of fundamental cognitive mechanisms, it provides opportunities for seeing more. It is mathematics that allows for the tremendous expansion of empirical study – what we call science. I had the opportunity, last week, to listen to a talk given by Craig […] If one is paying attention, questions about the relationship between mathematics and reality just get more interesting. Mathematician Alain Connes is certainly the modern representation of the Platonic view that mathematical reality is a discoverable, fully existent reality. But there is also the view from MIT cosmologist Max Tegmark that our physical world is not […] I followed a lead today that came at the end of Clifford Pickover’s The Math Book. The last of Pickover’s 250 milestones in mathematics is Max Tegmark’s Mathematical Universe Hypothesis, which Tegmark published in 2007 in both scientific and popular articles. The hypothesis is that “our universe is not just described by mathematics – […] I read a few articles today that brought aesthetic and religious expression, mathematical curiosity, and physical discovery into contact. A recent Physics World article reported that an architectural researcher found the first examples of perfect quasicrystal patterns in Islamic architecture. Also known as Penrose tiles, these patterns were described mathematically by Roger Penrose in […] I listened to three short talks today and found that they had something nice in common – they each show us how sensory experience (often vision) gives rise to mathematics that provides access to what cannot be seen, and clarifies what is seen. The first of these talks was called Symmetry, reality’s riddle presented by […] Unfortunately for us, philosophies of science and mathematics are rarely brought to the attention of individuals who are not engaged in these efforts. Yet, while difficult to access, the views of the world provided by mathematics and science are pregnant with meaningful implications for all of us. I have always been struck by the depth […] Mathematics is usually thought of as a tool that quantifies things in our lives and there is good reason for this. Early in our experience, it is presented to us as a counting and measuring device, not as a way to see something. But this characterization of mathematics is misleading. Quantification alone would not get […] My husband is one of the experimental physicists participating in the ATLAS experiment at the LHC at CERN. He left this morning on a trip to Geneva to visit CERN and that may be why I clicked on Kelly Oakes blog at the Scientific American blog network: Why the Higgs Boson Matters. The stuff that […] To give shape to this blog, I’ve been jumping around quite a lot through the fields of mathematics, physics, and the neurological and cognitive sciences. I decided today to let more of my weight drop into philosophy. It’s not unusual when reading about 19th century developments in mathematics (the ones that lay the groundwork for […] |
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