The development of computing systems able to address our ever-increasing needs, especially as we reach the end of CMOS transistor scaling, requires truly novel methods of computing. My research draws inspiration from biology, rethinks the digital/analog boundary, and challenges conventional wisdom, which typically guides how we perform computation, by reimagining the role of time. In this talk, I firstly introduce a computational temporal logic that sets the foundation for temporal computing. Secondly, I demonstrate how this foundation opens up unique ways in which we can work with sensors and design machine learning systems. Thirdly, I describe how temporal operators provide answers to several long-lasting problems in pulse-based computing with emerging devices — specifically, superconducting. Finally, I touch upon future work with themes ranging from in-sensor online learning to hybrid quantum-classical computing and formally verifiable hardware.