#TCAA (The Counts And Amounts) --- SynTalk

Is counting just a special case of measuring? Is any kind of measuring, & scaling, dimension dependent? Do lungs ‘have’ a non-integer dimension between 2 and 3? Can you list all the numbers between 0 and 1? Do both the size and number of cells/organelles change with biological growth? Is Euclidean geometry sufficient to describe things in nature? What does thickness ‘mean’? Is size a good indicator of ‘the outer world’? How many times can one cell become another cell? ‘How’ do cells count? How determinate is that? Are evolved systems always robust? Do all dynamical systems, typically, have finite partitions? Where does end-state variety, then, come from? Why is the presence of mitochondria inside neurons spatially periodic? Are all noses proportionately similar? Must counting be happening at very small scales given the manifest proportions at the macro level? Is the link between cell type and its longevity understood? Do molecular motors walk in three dimensions? Might one, sometimes, see different statistics (say proportion of heads to tails) for different amounts of time? Will mathematics continue to take us beyond our intuitions? &, would we need to change our definition (& conception) of ordinary dimensions in the future? SynTalk thinks about these & more questions using concepts from cell biology (Dr. Sandhya Koushika, TIFR, Mumbai), & mathematics (Prof. Stefano Luzzatto, ICTP, Trieste). Listen in...