Is Mathematics Discovered or Invented?

Albert Einstein, Alexander Graham Bell, Applied Optics, Athanasios Papoulis, calculus, Carl Friedrich Gauss, error backpropagation, Euclid, Gottfried Wilhelm Leibniz, Intelligent Design, Isaac Newton, John F. Walkup, J´anos Bolyai, Karhunen–Loève Theorem, Kari Karhunen, mathematics, Michel Loève, Neuroscience & Mind, non-Euclidean geometry, Oberlin College, Papoulis-Gerchberg Algorithm, Peter Biles, plagiarism, space-variant processing, telegraph, telephone
Some think that math is invented. Evidence, though, points towards its discovery. Source
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How Frogs and Fish “Count”

algebra, ants, Brian Butterworth, calculus, Can Fish Count?, common ancestor, croaks, dyscalculia, fish, frogs, Gary Rose, geometry, humans, Intelligent Design, mathematics, neurons, neuroscience, Neuroscience & Mind, number sense, numbers, pallium, Psyche (journal), respiratory fitness, túngara frog, zebrafish
We’re beginning to find out more about how animals that don’t really “think” much can keep track of numbers, when needed. Source
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Navigation Ability Crosses Phylum Lines — And That’s a Problem for Evolution

algorithms, Angular Head Velocity, Animal Algorithms, ants, backtracking, Ben Gurion University of the Negev, calculus, Cambrian phyla, casting, Darwinian theory, Eric Cassell, goldfish, hardware, Intelligent Design, Irreducible Complexity, Life Sciences, mammals, Nature (journal), Nature Communications Biology, navigation, Neuron (journal), neurons, olfaction, phyla, PNAS, Sainsbury Wellcome Centre, sea turtles, software, University of Toronto
Yes, that is kind of adorable. It took only a few days for the fish to learn to drive. Source
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Balancing Lives, Economics, and Public Policy in This Plague

borders, calculus, Congress, constitutional rights, coronavirus, COVID-19, Culture & Ethics, Economics, elderly, epidemiology, ethics, euthanasia, experts, governors, health, incubation period, Medicine, neurosurgeon, polis, Politics, President, Principle of Double Effect, probabilities, psychology, public policy, scientists, Senate, social distancing, sociology, Thomas Aquinas, triage, ventilators
I am a physician, and while I don’t treat coronavirus patients personally (I’m a neurosurgeon), I work in a regional coronavirus center and have first-hand knowledge of the medical impact of this pandemic. The danger the virus poses to life is substantial — in vulnerable people, it causes severe pulmonary compromise, often requiring the patient to be placed on a ventilator, and a substantial portion of these ventilated patients will die. The virus is highly contagious, and has a rather long incubation period, which helps it spread — people who have it continue to walk around and spread it for quite a while before they become sick and realize that they are contagious.  A Framework for the Wisest Decisions For a variety of reasons, the coronavirus plague is devastating to…
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