Oct 29 2016 73 mins
Is Nature logical? Is uncertainty hardwired into Nature? Where do the paradoxes or aporia lie? Might paradoxes exist in the object (& not in the thinking)? What is the ontological status of mathematical objects? Are laws of Nature really written in the language of mathematics? Is mathematics a form of philosophical speculation? Did mechanization precede mathematization? Are axioms more pragmatic than theoretical? Can all mathematics be reduced to (but not derived from) logic? 'How' is mathematics able to explain reality? Can the quantum or the cosmological scales be visualized using Euclidean geometry? Does theoretical physics sometimes invent its own mathematics to make progress? Can (sub/un-conscious) thoughts or dreams be concretized? Is pure mathematics an extension of deductive logic, & always incomplete? Can mathematics be semi empirical (as: axioms + data)? Is a causal explanation always necessary? Is it possible to have a theory of everything for anything? What is the future of the limits (& uncertainties) of mathematics? Would large scale collaboration and computation help push the limits? SynTalk thinks about these & more questions using concepts from theoretical physics & mathematics (Prof. Rajesh Gopakumar, ICTS-TIFR, Bangalore), statistics (Prof. Shyama Prasad Mukherjee, ex-University of Calcutta, Kolkata), & philosophy (Prof. Babu Thaliath, JNU, New Delhi). Listen in....