#Mathematics

As demand surges for digital expertise worldwide, many Thai students and families are asking: “How rewarding is a degree in computer science?” New research and analysis underscore that while computer science may be among the toughest academic disciplines, it also offers among the broadest and most lucrative career opportunities, provided students are prepared for the mathematical rigor, problem-solving challenges, and constantly changing technological landscape. These insights emerge from a recent in-depth report by The Irish Times, with perspectives that resonate strongly for Thailand’s own education sector as computer science courses and digital careers are increasingly prioritised by policymakers (irishtimes.com).

How much of mathematics can ever be truly known? This age-old question is back at the forefront after a recent high-profile lecture at Harvard, where a renowned quantum computing expert explored how the frontiers of computer science, philosophy, and mathematical logic intertwine to define the boundaries of the knowable in mathematics (Harvard Math - Fifth Annual Yip Lecture).

The lecture, titled “How Much Math Is Knowable?”, highlighted that while mathematics is often thought of as the bastion of certainty, the reality is more nuanced and constrained by the very limits of computation itself. The core message: computer science doesn’t just create new tools for mathematicians—it draws the actual lines that define what humanity can, or cannot, ever formally prove or know in mathematics.

The 12-note musical scale, the backbone of Western music and much of the global soundscape, is so familiar that its origin is often taken for granted. Why did music across diverse civilizations, after centuries of experimentation, converge on dividing the octave into twelve distinct pitches? The answer is a fascinating tale of mathematical harmonics, cultural evolution, instrumental limitations, and the very nature of human hearing.

Music has been a part of humanity for tens of thousands of years. Early instruments uncovered by archaeologists—such as flutes made from bone—suggest that the urge to organize sound predates written history. The concept of a ‘scale’—a sequence of pitches arranged in ascending or descending order—emerged as societies sought structure in their music, making it teachable, memorable, and shareable. The word ‘scale’ itself comes from the Latin ‘scala’, meaning ’ladder’, a metaphor still apt today as musicians ascend and descend their own sonic staircases (Wikipedia). The way those rungs are spaced, though, is not simply a cultural artifact—it reflects deep acoustic and mathematical truths.