Category Archives: Maths

A Sum of All the Parts

Consciousness is fascinating and I keep coming back to it. It is personally verifiable in that a person knows that he or she is conscious, but it is difficult if not impossible to tell if a person is conscious from … Continue reading

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The Space Between the Stars

Space is big. The Voyager spacecraft (Voyager I and II) were launched in 1977 and are, forty years later, only just entering interstellar space. Though the exact point at which space becomes “interstellar” is debatable. The Voyagers will take 40,000 … Continue reading

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Simple Arithmetic

There periodically appears on the Internet an arithmetic type of puzzle. Typically it will be a string of small natural numbers and a few arithmetic operations, such as “3 + 7 x 2 – 4” and the task is to … Continue reading

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Let’s be Rational – Realer Numbers

Leopold Kronecker said “God made the integers, all else is the work of man”. (“Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk”). However man was supposedly made by God, so the distinction is logically irrelevant. I … Continue reading

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Rational versus real

(My last post was very late because I had taken part in a 10km walk on the Sunday and spent the week recovering.) There’s a fundamental dichotomy at the heart of our Universe which I believe throws some light on … Continue reading

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Numbers are fascinating

Numbers fascinate me. What the heck are they? They seem to have an intimate relationship with the “real world”, but are they part of it? If I heave a rock at you, I heave a physical object at you. If … Continue reading

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Measuring things

When we measure a length, with a ruler, say, we can’t measure it exactly. The ruler will be marked off in, say, millimetres, and the length we are measuring will probably fall somewhere between two markings on the ruler, so … Continue reading

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