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What are some reasons for the dislike of Gödel, Escher and Bach? Why is it considered difficult to read by many people?

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Douglas Hofstadter’s 1979 book, Gödel, Escher and Bach: An Eternal Golden Braid, won a Pulitzer Prize for its creative exposition of some fundamental constructs of mathematics and computer science that pervade many domains of human investigation. In particular, the author reveals how the concepts of recursion, randomness, and self-referencing pervade mathematics, computer science, music and …

What are some reasons for the dislike of Gödel, Escher and Bach? Why is it considered difficult to read by many people? Read More »

Is intelligence determined by genetics? If so, how is it inherited? If not, what factors contribute to a person’s level of intelligence?

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In 1990, Thomas J. Bouchard et al. published a seminal article titled, Sources of Human Psychological Differences: The Minnesota Study of Twins Reared Apart in which they assembled 100 sets of identical twins who were separated early in life and raised apart. All participants in the study completed about 50 hours of medical and psychological …

Is intelligence determined by genetics? If so, how is it inherited? If not, what factors contribute to a person’s level of intelligence? Read More »

What are practical examples of chunking complex information while reading?

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Those of us in academic fields read several thousands of books and papers in our lifetime and it’s vitally important to retain and recover what we’ve read, because there’s not enough time to read the same source twice. I have several ways that I chunk information, enabling me to recall or retrieve the contents of …

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I have a passion for math and I really want to get a PhD, but I’m not sure if I’m intelligent enough. Is it still worth pursuing?

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I feel a kinship with those who have a passion for math and I want to help you with your decision. Your passion for mathematics is a vital factor in achieving a Ph.D. in that subject. Of course, a high IQ, including a capacity for abstraction, is also a necessary criterion because you will be …

I have a passion for math and I really want to get a PhD, but I’m not sure if I’m intelligent enough. Is it still worth pursuing? Read More »

Why do you think 85% of Gen-Z members say they want to have an impact on the world?

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In the generations that preceded Gen-Z, we lived in a world in which the life-plan of many was to get an education, get a job, raise a family, retire, and die of old age. This plan served the needs of a substantial portion of the population through the 20th century. However, in the latter decades …

Why do you think 85% of Gen-Z members say they want to have an impact on the world? Read More »

What are the most shocking mathematical discoveries that challenged mathematicians’ intuition?

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Throughout the development of mathematics there have been several milestones marked by their challenge to mathematical intuition. During the time of the Ancient Greek civilization around 500 BCE, it was believed that all numbers are rational, that is, they can be expressed as integers (whole numbers) or fractions of integers. Then, a group of mathematicians …

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Is there any evidence to support the claim that first-borns are more mature and successful than others? What about only children?

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Of course, the answer depends to a significant extent on what we mean by “success.” In terms of entrepreneurship, some studies show that many of the most successful entrepreneurs were first born. For example, the table below shows the birth order of some of the most famous entrepreneurs. While Larry Page and Sergei Brin (founders …

Is there any evidence to support the claim that first-borns are more mature and successful than others? What about only children? Read More »

Is Elon Musk’s success all a facade, or is he truly a genius?

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Mike, thank you for the question, it’s something that I am frequently asked. Traditionally, we associate the term “genius” with icons like Albert Einstein who were visionaries in arcane fields populated with mathematical equations that extend beyond the grasp of most humans. However, true genius is characterized by work that stands head and shoulders above …

Is Elon Musk’s success all a facade, or is he truly a genius? Read More »

Is it possible for a person to understand everything? Does being highly intelligent guarantee understanding of everything?

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I believe that all the brightest people I have seen, immersed in the study of mathematics and physics, are capable of understanding any of the concepts introduced in those subjects, provided they invest the necessary effort. Of course, there is not enough time to master all branches of any field, but such people can master …

Is it possible for a person to understand everything? Does being highly intelligent guarantee understanding of everything? Read More »

Did Einstein’s greatest contribution to science come from his intuition rather than logic? If this is true, why did he also value logic in his life and scientific research?

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Einstein’s greatest contribution to science came from his strong intuition and his willingness to challenge what was tacitly assumed by science. When Einstein arrived on the scientific scene, it was believed that time was absolute and that everyone in any frame of reference would measure time in the same way. In 1887, the experimental physicist …

Did Einstein’s greatest contribution to science come from his intuition rather than logic? If this is true, why did he also value logic in his life and scientific research? Read More »

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