Category: Proof
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Painting… Praying… Reading…
During the European Middle Ages, literacy and written texts were largely the province of religious institutions. Richly illustrated manuscripts were created in monasteries for use by members of religious institutions and by the nobility. Some of these illuminated manuscripts were embellished with luxurious paints and pigments, including gold leaf and ultramarine, a rare and expensive…
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Gödel’s incompleteness theorem: The non-Cretan way out…
Gödel’s incompleteness theorem is well known for proving that the dream of most mathematicians to formulate foundations for a complete and self-consistent theory of mathematics is a futile exercise. Gödel proved that any set of axioms you could posit as a possible foundation for math will inevitably be incomplete; there will always be true facts…
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Is there a black elephant in the room?
Many people are discussing these days the racism topic. A black man – George Floyd – was some days ago killed due to – as it seems – police brutality. This sparked a series of protests some of which were violent. People started to talk against the protests and that violence. Others responded that the…
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(Scientific) Pressure.
Johannes Kepler, famed German astronomer and mathematician, first suggested in 1619 that pressure from sunlight could be responsible for a comet’s tail always pointing away from the Sun, says study co-author and UBC Okanagan engineering professor Kenneth Chau. It wasn’t until 1873 that James Clerk Maxwell predicted that this radiation pressure was due to the…
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Intuitionism (Constructivism) vs. Logicism vs. Platonism.
Does infinity exist? Is the whole larger than the parts? Are all the numbers either negative, positive or zero? Phenomenally simple questions. With no definite answer! Is everything “out there” for us to discover? (Platonism) Is everything we can “write on paper” true? (Logicism) Or only the things we can construct do exist? (Intuitionism/ Constructivism)…
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