Tag Archives: Induction

Intelligent Life in the Universe?

While Drake’s equation is a good basis for systematic investigations of signals from extraterrestrial intelligences, I care little about the admittedly scarce possibility that we ever receive positive news from our SETI searches. I care more about the fact that, … Continue reading

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A Yearning for Truth

Beauty, Plato wrote, is not easy to define, but something that “slips through and evades us”. For this reason, many logic-oriented philosophical approaches tend to divorce and even oppose truth and beauty. “The question of truth”, wrote logician Gottlob Frege … Continue reading

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A Correlation in Perception

James Cameron’s AVATAR This post will indeed seem quite odd. But as I told Phil I wanted to explain a principal behind all the language I used here as if it would appear to another if we assume another perspective. … Continue reading

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Brief Glimpses of the Sun

Mathematics and Science: Last Essays 8 Last Essays But it is exactly because all things tend toward death that life is an exception which it is necessary to explain. Let rolling pebbles be left subject to chance on the side … Continue reading

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William Thurston

Xianfeng David Gu and Shing-Tung YauTo a topologist, a rabbit is the same as a sphere. Neither has a hole. Longitude and latitude lines on the rabbit allow mathematicians to map it onto different forms while preserving information. William Thurston … Continue reading

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Mathematical Structure of the Universe

Although Aristotle in general had a more empirical and experimental attitude than Plato, modern science did not come into its own until Plato’s Pythagorean confidence in the mathematical nature of the world returned with Kepler, Galileo, and Newton. For instance, … Continue reading

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Natural philosophy

Natural philosophy or the philosophy of nature, known in Latin as philosophia naturalis, is a term applied to the objective study of nature and the physical universe that was dominant before the development of modern science. It is considered the … Continue reading

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Factoids and Censorship

Often taking the time to absorbed the full perspective of the writer is just as much an effort as it is to understand the nature and understanding of research and information development about a topic. Where that writer leaves off. … Continue reading

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Epistemology

“Some people have difficulty with accepting Plato’s mathematical world as being in any sense ‘real’, and would gain no comfort from a view that physical reality itself is constructed from abstract notions. My own position on this matter is that … Continue reading

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Work in Progress

A VIEW OF MATHEMATICS Alain CONNES Most mathematicians adopt a pragmatic attitude and see themselves as the explorers of this mathematical world” whose existence they don’t have any wish to question, and whose structure they uncover by a mixture of … Continue reading

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