Logic and Mathematics: Tools for Change or Stagnation?
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Understanding the Power of Logic
Logic is a fascinating, yet paradoxical tool. While it can drive progress, it can also serve to uphold the existing order.
Mathematics stands as an unwavering truth. It holds an a priori correctness and serves as the backbone of logical reasoning. George Orwell remarked in 1984 that true freedom is the ability to assert that two plus two equals four. This basic principle is critical and should never be overlooked: absolute authority can manipulate logic without consequence due to its unassailable nature.
The Role of Social Commentary
Nonetheless, the validity of logic fails to create meaningful social insights if its foundational premises are flawed. I recall my high school philosophy class where the concept of logic was a struggle for many. In a moment of exasperation, our teacher attempted to illustrate a point using a dramatic example: he posed a scenario where he would stab anyone who greeted him with "good morning." When asked if it would be logical to attack the first person he encountered in the lift, half the class disagreed. In my mind, I envisioned him leaving the classroom in frustration, though that’s not quite how it unfolded. Even as adults, many struggle to distinguish between the logical and the real.
Recognizing Median Fallacies
Recently, I encountered a claim from a respected individual stating that car owners today enjoy better mileage for their money compared to sixty years ago. This assertion was supported by a comparison of gas prices, fuel efficiency, and median salaries from 1962 to 2022. The calculations were flawless; however, the fallacy was apparent. The term "median" can be misleading. For instance, while the lower half of the population saw a salary increase of about 60% since the 1960s, the top 20% experienced a rise of 240%. Personally, I recognize that my purchasing power has risen significantly over the past fifteen years, despite rising costs: my salary has outpaced inflation. Yet, I understand I would have been financially better off in my thirties two decades ago, even as a struggling student.
The One-Third Rule
A wise mentor once advised me that to live comfortably, my rent should not exceed one-third of my salary. However, my reality soon proved otherwise: until my income reached the median salary level in the UK and I shared living expenses with my partner, rent consumed more than half of my earnings, often reaching three-quarters. Even then, I knew my median salary was misleading compared to my friends', as I didn’t hold a median job.
The Paradox of Logic and Life
I cherish logic; it has been a reliable companion. Over the years, I have applied it daily in my work. It feels like a trusted ally. Artistic pursuits such as songwriting, literature, love, and friendship arise from the metaphysical realm, while practical matters are often resolved through logical reasoning. My analytical mind is clear on what it takes to achieve a modest goal: a comfortable life. Still, just because I can attain this doesn’t mean it’s feasible for everyone else. If this final assumption holds true, then it’s likely our current reality is fundamentally unjust.
Current Mood: Pessimistic Optimism at 55%
Listening to: 'Manes' by Ben Bertrand.
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The first video, "Can Maths Save the Planet," explores the role of mathematics in addressing global challenges, emphasizing its potential for positive change.
The second video, "How to Think Like a Mathematician with Eugenia Cheng," delves into the mindset and strategies that can enhance mathematical thinking and problem-solving skills.