Godel's Incompleteness Theorems
In Our Time9 Loka 2008

Godel's Incompleteness Theorems

Melvyn Bragg and guests discuss an iconic piece of 20th century maths - Gödel’s Incompleteness Theorems. In 1900, in Paris, the International Congress of Mathematicians gathered in a mood of hope and fear. The edifice of maths was grand and ornate but its foundations, called axioms, had been shaken. They were deemed to be inconsistent and possibly paradoxical. At the conference, a young man called David Hilbert set out a plan to rebuild the foundations of maths – to make them consistent, all encompassing and without any hint of a paradox. Hilbert was one of the greatest mathematicians that ever lived, but his plan failed spectacularly because of Kurt Gödel. Gödel proved that there were some problems in maths that were impossible to solve, that the bright clear plain of mathematics was in fact a labyrinth filled with potential paradox. In doing so Gödel changed the way we understand what mathematics is and the implications of his work in physics and philosophy take us to the very edge of what we can know.With Marcus du Sautoy, Professor of Mathematics at Wadham College, University of Oxford; John Barrow, Professor of Mathematical Sciences at the University of Cambridge and Gresham Professor of Geometry and Philip Welch, Professor of Mathematical Logic at the University of Bristol.

Jaksot(1085)

The Battle of Clontarf

The Battle of Clontarf

Melvyn Bragg and guests discuss one of the best known events and figures in Irish history. In 1014 Brian Boru, High King of Ireland, defeated the Hiberno-Norse forces of Sigtrygg Silkbeard and allies...

8 Touko 202551min

The Gracchi

The Gracchi

Melvyn Bragg and guests discuss the brothers Tiberius and Gaius Gracchus whose names are entwined with the end of Rome's Republic and the rise of the Roman Emperors. As tribunes, they brought popular ...

1 Touko 202549min

Maurice Merleau-Ponty

Maurice Merleau-Ponty

Melvyn Bragg and guests discuss the French philosopher Maurice Merleau-Ponty (1908-1961), who was part of the movement known as phenomenology. While less well-known than his contemporaries Jean-Paul S...

24 Huhti 202559min

Thomas Middleton

Thomas Middleton

Melvyn Bragg and guests discuss one of the most energetic, varied and innovative playwrights of his time. Thomas Middleton (1580-1627) worked across the London stages both alone and with others from D...

17 Huhti 202556min

Cyrus the Great

Cyrus the Great

Melvyn Bragg and guests explore the history and reputation of the Persian ruler Cyrus the Great. Cyrus the Second of Persia as he was known then was born in the sixth century BCE in Persis which is no...

10 Huhti 202550min

Pollination

Pollination

Since plants have to mate and produce offspring while rooted to the spot, they have to be pollinated – by wind, water, or animals – most commonly insects. They use a surprising array of tricks to attr...

3 Huhti 202550min

Kali

Kali

Melvyn Bragg and guests discuss the Hindu goddess Kali, often depicted as dark blue, fierce, defiant, revelling in her power, and holding in her four or more arms a curved sword and a severed head wit...

27 Maalis 202557min

Oliver Goldsmith

Oliver Goldsmith

Melvyn Bragg and guests discuss the renowned and versatile Irish writer Oliver Goldsmith (1728 - 1774). There is a memorial to him in Westminster Abbey’s Poet’s Corner written by Dr Johnson, celebrati...

20 Maalis 202554min

Suosittua kategoriassa Historia

olipa-kerran-otsikko
gogin-ja-janin-maailmanhistoria
mayday-fi
huijarit
mystista
rss-ikiuni
totuus-vai-salaliitto
tsunami
konginkangas
rouva-diktaattori
sotaa-ja-historiaa-podi
rss-sattuu-sita-suomessakin
rss-i-dont-like-mondays-2
rss-kirkon-ihmeellisimmat-tarinat
rss-peter-peter
rss-subjektiivinen-todistaja
apinan-vuosi
historiaa-suomeksi
tiedetta-ja-sirkushuveja-vanhojen-aikojen-podcast
maailmanpuu