Added the fifty-first Freethinker Podcast YouTube second interview with Bill Gaede on 4-dimensional cubes and his former life as a spy (2022) to the Freethinker Podcast page under Resources on the Secular Web.
Join Freethinker Podcast host Edouard Tahmizian in this 45-minute interview with Rational Science podcaster Bill Gaede about the conceivability of 4-dimensional spatial cubes—hypercubes or tesseracts—and his fascinating former life as a Cuban spy. After noting his intellectual “falling out” with Carl Sagan over his atheism, his reliance on mathematical physics and the modern conception of the scientific method, and his Polyannish vision of humanity’s future, Gaede explains how the mathematical concept of dimensions differs from the physicist’s concept of them. Sagan, for example, conceptualizes a 2-D square as a shadow of a 3-D cube, and goes on to conceptualize a tesseract as the 3-D shadow of a 4-D hypercube. But is such a hypothetical entity physically conceivable? If time is conceived of as the fourth dimension that connects the perpendicular lines in our visual representations of a tesseract, then the tesseract actually involves nested times (when rotated or moving), such that you really have two dimensions of time added (for 5 dimensions, not 4), rendering it conceptually impossible. In the second half of the interview, Gaede talks about his life in Argentina before he worked as a manager for Advanced Micro Devices (AMD) in California, passing trade secrets on to the Cuban government from the mid-1960s until 1979, before turning himself in to the CIA in 1992 and then doing counterintelligence as a double agent for the FBI at Intel, passing on disinformation back to the Cubans thereafter. Gaede recounts the fascinating story of how AMD’s discovery of his betrayal ultimately led to his cover being blown. Check out this fascinating dive into the conceivability of purely mathematical concepts that dovetails into the perils of life as an industrial spy!