EPISODE · Mar 23, 2024 · 1H 2M
#TTTC (The Transformations To Complex) --- SynTalk
from SynTalk · host SynTalk
Is pencil complex? Is computationally hard complex? Is ‘i’ a weird number? Why wasn’t Hamilton able to multiply triples? Are we just a bunch of neurons and connections? Is our ability to think (& do mathematics) an emergent phenomenon? Is mathematical thinking core to understanding the world? Is complexity always a subjective feature? Do opinions spread in complex random graph-like patterns? How is alternating current complex? How do quaternions help with (3D rotations) in computer graphics? Are there (irreducible) prime complex numbers? Can real prime numbers be understood via functions of complex variables? How is the idea of ‘limit’ (& continuity, & differentiability) different on a complex plane? Is something more complex the more you can talk about it? Can there be a general theory for conditions leading to complexity? Are all complex systems many bodied? Will several emergent phenomena & biological systems see invention of a new kind of math to understand them? Will computational models (& ever more complex machines) likely precede such mathematics? &, will more branches of sciences / knowledge keep getting more integrated? SynTalk thinks about these & more questions using ideas from electrical engineering (Prof. D. Manjunath, IIT Bombay, Mumbai), non-linear science (Prof. Ram Ramaswamy, IIT Delhi, New Delhi), & mathematics (Dr. Kaneenika Sinha, IISER, Pune). Listen in...
What this episode covers
Is pencil complex? Is computationally hard complex? Is ‘i’ a weird number? Why wasn’t Hamilton able to multiply triples? Are we just a bunch of neurons and connections? Is our ability to think (& do mathematics) an emergent phenomenon? Is mathematical thinking core to understanding the world? Is complexity always a subjective feature? Do opinions spread in complex random graph-like patterns? How is alternating current complex? How do quaternions help with (3D rotations) in computer graphics? Are there (irreducible) prime complex numbers? Can real prime numbers be understood via functions of complex variables? How is the idea of ‘limit’ (& continuity, & differentiability) different on a complex plane? Is something more complex the more you can talk about it? Can there be a general theory for conditions leading to complexity? Are all complex systems many bodied? Will several emergent phenomena & biological systems see invention of a new kind of math to understand them? Will computational models (& ever more complex machines) likely precede such mathematics? &, will more branches of sciences / knowledge keep getting more integrated? SynTalk thinks about these & more questions using ideas from electrical engineering (Prof. D. Manjunath, IIT Bombay, Mumbai), non-linear science (Prof. Ram Ramaswamy, IIT Delhi, New Delhi), & mathematics (Dr. Kaneenika Sinha, IISER, Pune). Listen in...
NOW PLAYING
#TTTC (The Transformations To Complex) --- SynTalk
No transcript for this episode yet
Similar Episodes
No similar episodes found.
Similar Podcasts
No similar podcasts found.