#TDAC (The Discrete And Continuous) - - - SynTalk


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Dec 22 2017 77 mins   26
Is grey ‘real’? Is all discretization perspectival? Can there be absolute notions of discreteness and continuity? Is time eternal? Is the world continuous but we perceive it as discrete? Are micro and macro objects continuous, but the meso discrete? Can real numbers be ‘made’ from integers? Are real numbers continuous (analog), & integers discrete (digital)? Do we don’t have access to ‘most’ of the real numbers? Did God make integers – or only 1 (& 0?)? What does Fourier Transform imply? What is the most fundamental signal? When does sampling not lead to loss of information? Can the sense of touch be discretized? Can surgeries be performed remotely? Does discretization happen in Nature? Is noise always continuous? Is speech predictable even if the underlying phonemes seem discrete? Do all manifolds lie on a continuum? Is making linear (analog) circuits difficult? Are higher order infinities deeper forms of ‘silence’? Does mathematics understand the ‘ambiguous’ ways in which things are (sometimes…) equal? Would a world without continuity (& community) be doomed? SynTalk thinks about these & more questions using concepts from logic & philosophy (Prof. Mihir K. Chakraborty, ex-University of Calcutta, Kolkata), mathematics (Prof. Kiran S. Kedlaya, University of California San Diego, La Jolla, California), & electrical engineering (Prof. D. Manjunath, IIT Bombay, Mumbai). Listen in...