Modern physics suggests time may be an illusion, and philosopher J.M.E. McTaggart argued that time can be proven unreal using logic alone. He proposed two ways to arrange events in time, the B-series and the A-series, but concluded that neither can capture time. Philosophers continue to debate this issue, with A-theorists trying to redefine the A-series, B-theorists accepting the B-series as reality, and C-theorists suggesting that time has no direction. Despite the lack of scientific findings, McTaggart's logical argument has sparked ongoing philosophical discussion about the nature of time.
Throughout history, humanity has used both top-down (a priori) and bottom-up (a posteriori) reasoning to gain knowledge about the world. However, science has shown that no amount of logical reasoning can substitute for empirical knowledge. Three examples illustrate how logic and reasoning alone are insufficient in science: the nature of light, the age of the Earth, and Einstein's cosmological constant. These cases demonstrate that the only way to gain meaningful knowledge of the Universe is by asking quantitative questions that can be answered through experiment and observation.
Paradoxes challenge the binary view of truth in classical logic, revealing its flaws. While some paradoxes have logical solutions that expose the complexity of reality, others present a deeper challenge to the internal logic of classical reasoning. Philosophical traditions that embrace the idea of truth as a spectrum, such as anekāntavāda, offer alternative perspectives. Fuzzy logic, which allows for truth values between one and zero, better reflects human decision-making. However, classical logic remains deeply ingrained in education systems and applications. Paradoxes have often led to advancements in science and mathematics, demonstrating the strength of classical logic while also exposing its limitations.