PhilosophyMonkeyFranzKafka

  • Subscribe to our RSS feed.
  • Twitter
  • StumbleUpon
  • Reddit
  • Facebook
  • Digg

Tuesday, 11 September 2012

How to (and Why) Prove a Mathematical Theory

Posted on 06:35 by Unknown
When it comes to the world of our sensory experience, the idea of "proof" is somewhat misplaced, since there is always the possibility of new evidence contradicting something we previously had every good reason to believe, not to mention the fact it could all be a dream or a simulation in The Matrix!

But in the world of abstract ideas, especially numbers, the kind of reasoning used there does lend itself to proofs because you get to specify exactly what you mean by a certain concept, and then all you have to do is follow a few rules of inference to deduce the logical consequences of your idea.

And we owe a debt of gratitude for the whole idea of theory and proof to the ancient Greeks, people like Pythagoras, Plato and Archimedes. But today we get to learn a little bit about the man who is widely considered the father of geometry, a title appropriate to the scope and importance of his work: he formalized the rules of geometry that mathematicians have relied upon for over two thousand years. That man was Euclid.



QED
Email ThisBlogThis!Share to XShare to FacebookShare to Pinterest
Posted in animation, math, Plato, RSA Animate, TEDTalks | No comments
Newer Post Older Post Home

0 comments:

Post a Comment

Subscribe to: Post Comments (Atom)

Popular Posts

  • Obama and Romney Laugh It Up
    With the upcoming elections, things have been heated up for the past few months. And though not to the same level, both major contenders, as...
  • Diane Kelly - What We Didn't Know about Penis Anatomy
    Penises... they're great. In my case, we're best friends. I never leave home without mine. Do you? It may seem pretty obvious what t...
  • Sean Carroll - The Case for Naturalism
    If you follow current events in the world of public intellectualism, you probably know that over the past few decades, and increasingly over...
  • Miss USA Contestants on Evolution
    Let's be honest: beauty pageants are about how hot the contestants are. I won't pass judgment on whether this is morally acceptable ...
  • Daniel Wolpert - The Real Reason for Brains
    I know what you're thinking, but no, it's not for feeding zombies... but it's also not "for" thinking either because b...
  • Daniel Dennett - How to Tell If You're an Atheist
    The human mind is both beautiful and frustrating. We have minds that can contemplate the meaning of infinity and consciousness, on the one h...
  • Stuxnet: Anatomy of a Computer Virus
    No, it's Stuxnet, not Skynet... and you may have more reason to fear the former than the latter, at least if your name is not John Conno...
  • The Punishable Perils of Plagiarism
    As we've seen before (in a case in which a professor discovered a massive collective case of cheating ), academic dishonesty is a seriou...
  • John Adams - Declaration of Independence
    As I've argued before, the Founding Fathers were not this monolithic and unified myth of unanimous agreement we often fantasize or ...
  • Marco Tempest - The Electric Rise and Fall of Nikola Tesla
    Today is the birthday of one of history's greatest genius: Nikola Tesla. It probably wouldn't be much of an overstatement to claim t...

Categories

  • 3-minute philosophy (11)
  • 60 Second Adventures in Thought (8)
  • Alan Turing (3)
  • All Too Human (1)
  • amazing (6)
  • animals (25)
  • animation (77)
  • anthropology (4)
  • architecture (2)
  • Aristotle (13)
  • art (14)
  • atheism (41)
  • audio (21)
  • autism (2)
  • Ayaan Hirsi Ali (1)
  • Big Brother (4)
  • biography (9)
  • Bishop Berkeley (3)
  • Brainspotting (3)
  • Brian Cox (6)
  • Bryan Magee (1)
  • Carl Sagan (5)
  • Charles Darwin (9)
  • chemistry (6)
  • Christopher Hitchens (6)
  • cognitive science (5)
  • corruption (108)
  • Cosmos (3)
  • creationism (12)
  • Dan Ariely (1)
  • Daniel Dennett (4)
  • David Attenborough (3)
  • David Chalmers (1)
  • David Hume (17)
  • David Sloan Wilson (2)
  • debate (12)
  • Descartes (11)
  • dinosaurs (1)
  • documentary (45)
  • doodling in math (6)
  • E.O. Wilson (2)
  • economics (23)
  • education (43)
  • Einstein (11)
  • Elegant Universe (11)
  • Enemies of Reason (21)
  • environment (19)
  • Epicurus / Lucretius (1)
  • ethics (100)
  • evolution (55)
  • existentialism (13)
  • feminism (13)
  • Flying Spaghetti Monster (2)
  • Founding Fathers (13)
  • free speech (4)
  • free will (7)
  • Freud (1)
  • funny songs (12)
  • Galileo (6)
  • gay stuff (12)
  • geography (9)
  • George Carlin (2)
  • health (35)
  • Hegel (1)
  • Heidegger (1)
  • hilarious (163)
  • history (64)
  • Hobbes (8)
  • Inside Nature's Giants (6)
  • Jane Goodall (1)
  • Jim Al-Khalili (4)
  • John Locke (9)
  • John Searle (4)
  • Jon Stewart (48)
  • jurisprudence (8)
  • Kant (7)
  • Ken Miller (1)
  • Kierkegaard (2)
  • Kurt Vonnegut (1)
  • Large Hadron Collider (7)
  • Leibniz (5)
  • Leonardo da Vinci (1)
  • linguistics (11)
  • literature (25)
  • logic (60)
  • Lord Robert Winston (1)
  • magic (3)
  • Malcolm Gladwell (1)
  • Martin Luther King Jr. (2)
  • Marx (2)
  • Masters of Philosophy (19)
  • math (38)
  • Michael Faraday (2)
  • Michael Sandel (2)
  • Michael Shermer (1)
  • mind (34)
  • Mind control (1)
  • monkeys (8)
  • Monty Python (3)
  • movie (2)
  • music (7)
  • National Geographic (3)
  • Neil DeGrasse Tyson (7)
  • Newton (7)
  • Nietzsche (7)
  • Optical illusion (10)
  • Paradox (8)
  • Penn and Teller (1)
  • personal (5)
  • Peter Millican (10)
  • Peter Singer (7)
  • philosophy (111)
  • Philosophy: A Guide to Happiness (1)
  • physics (39)
  • Plato (7)
  • porn (7)
  • privacy (4)
  • problem of evil (4)
  • psychology (18)
  • public announcement (2)
  • racism (19)
  • religion (115)
  • Richard Dawkins (12)
  • Richard Feynman (7)
  • Ricky Gervais (1)
  • Robert Krulwich (1)
  • RSA Animate (16)
  • Sam Harris (3)
  • sartre (1)
  • science (79)
  • sex (19)
  • SNL (2)
  • Socrates (7)
  • space (32)
  • sports (4)
  • Stephen Colbert (40)
  • Stephen Fry (6)
  • Stephen Hawking (4)
  • Stephen J. Gould (1)
  • Steven Pinker (6)
  • Steven Weinberg (1)
  • technology (20)
  • TEDTalks (50)
  • The Human Sexes (4)
  • The Onion (24)
  • Tim Minchin (4)
  • time (5)
  • time lapse (10)
  • William Lane Craig (3)
  • Wittgenstein (3)

Blog Archive

  • ►  2013 (49)
    • ►  August (1)
    • ►  July (9)
    • ►  June (9)
    • ►  May (8)
    • ►  April (8)
    • ►  March (6)
    • ►  February (3)
    • ►  January (5)
  • ▼  2012 (205)
    • ►  December (4)
    • ►  November (7)
    • ►  October (12)
    • ▼  September (14)
      • Samuel Jackson - 'Wake the F++k Up' for Obama
      • Science vs. Philosophy? Nigga Please...
      • Making Sense of Spelling
      • 5 Things Every Presenter Needs to Know about People
      • Ecce Homo Art "Restorator" Alpha Dog
      • Apparently Mitt Romney Can't Stand Half of All Ame...
      • We May Need a Break, But You Can Still Follow Us
      • Steven Pinker on Taboos, Political Correctness and...
      • 60 Seconds Adventures in Economics - The Invisible...
      • How to (and Why) Prove a Mathematical Theory
      • Release the Clinton!
      • Some Fun Analysis of the DNC
      • Michelle Obama's Speech at the DNC
      • Abusive Obsessive-Compulsive Has to Punch Wife Exa...
    • ►  August (15)
    • ►  July (20)
    • ►  June (19)
    • ►  May (27)
    • ►  April (26)
    • ►  March (19)
    • ►  February (22)
    • ►  January (20)
  • ►  2011 (217)
    • ►  December (19)
    • ►  November (20)
    • ►  October (17)
    • ►  September (19)
    • ►  August (16)
    • ►  July (19)
    • ►  June (15)
    • ►  May (19)
    • ►  April (16)
    • ►  March (22)
    • ►  February (19)
    • ►  January (16)
  • ►  2010 (29)
    • ►  December (26)
    • ►  November (3)
Powered by Blogger.

About Me

Unknown
View my complete profile