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Reflective Piece: Shaped by Place, Time — and a Mind That Wouldn’t Sit Still

I was born at the end of August 1976, in Rotherham — a town that carries the memory of steelworks, coal mines, and the working-class backbone that once powered Britain’s industry. From the moment I took my first breath, my life has been stitched into the social fabric of a community built on resilience, pride, and a deep sense of solidarity. Like many from South Yorkshire, my sense of fairness and loyalty was forged in the shadow of the miners’ strike, the steelworkers strikes and the slow decline of local industries. These weren’t just news stories — they were the conversations around the kitchen table, the picket lines, the harsh lessons that taught me that when systems fail, you stand by your own. Growing up with inattentive ADHD, though undiagnosed for decades, meant my mind was always wandering — always half-here, half-somewhere-else. At school, the labels stuck: lazy, away with the fairies, not living up to potential. My handwriting — “less legible than if a spider had run th...

Mathematical Dogma and Euler's identity

Euler's identity is as misunderstood, as it is misattributed. Euler himself never committed the equation to paper. Firstly, it is not an identity as the values are not absolute. Secondly, major misconceptions in mathematics arise from the unspoken rules, in this case that the symbol = means equal to a given value of significance. E.g. 3.456432 = 3.4563456 (to 4 s.f.) To one significant figure both numbers would be 3. To five significant figures they are no longer equal.  The equation e^{\pi i}+1=0 involves {e}, {\pi}, and {\i}, which are irrational and unreal numbers respectively. Raising these numbers to each other is not going to make them absolutely equal to anything, infinitely close yes, but not an absolute value. If we use algebra laws on Euler's identity it fails immediately and we see e^{\pi i} = -1.  This means to one significant figure, the answer was negative one, however adding the arbitrary absolute value of 1 to the equation created an inequality and a value infi...